Principles of Engineering PLTW Scope and Sequence Year at a Glance First Semester

Size: px
Start display at page:

Download "Principles of Engineering PLTW Scope and Sequence Year at a Glance First Semester"

Transcription

1 PLTW Scope and Sequence Year at a Glance First Semester Three Weeks 1 st 3 weeks 2 nd 3 weeks 3 rd 3 weeks 4 th 3 weeks 5 th 3 weeks 6 th 3 weeks Topics/ Concepts 1.1 Energy Forms 1.2 Energy, Work, & Power 1.3 Energy Sources 1.3 Energy Sources 1.4 Opportunities in Engineering 2.1 Mechanisms 2.2 Machine Control 2.3 Fluid Power 2.4 Control Systems Design Problem 2.4 Control Systems Design Problem Resource: Principles of Engineering PLTW Scope and Sequence Year at a Glance Second Semester Three Weeks 1 st 3 weeks 2 nd 3 weeks 3 rd. 3 weeks 4 th 3 weeks 5 th 3 weeks 6 th 3 weeks Topics/ Concepts 3.1 Material Properties 3.2 Material Testing 3.3 Materials Design Problem 4.1 Statics 4.2 Dynamics 4.3 Statics & Dynamics Design Problem. Resource: 1

2 Unit 1 Energy & Power (18 days) Lesson 1.1 Energy Forms It is expected that students will: Use schematic symbols to diagram electric circuits. Assemble and troubleshoot series and parallel circuits. Demonstrate the correct use of a digital multimeter. Test and apply the relationship between voltage, current, and resistance as stated in Ohm s Law. Complete calculations for electric circuits. Design, construct, and test recyclable insulation for a house. Test and apply the relationship between the R- values and recyclable insulation. Complete calculations for conduction, R-values, and radiation. Lesson 1.2 Energy, Work, & Power Lesson 1.3 Energy Sources Lesson 1.4 Opportunities in Engineering 2

3 Unit 2 Control Systems (28 days) Lesson 2.1- Mechanisms It is expected that students will: Measure forces and distances related to mechanisms. Distinguish between the six simple machines, their attributes, and components. Calculate mechanical advantage and drive ratios of mechanisms. Design, create, and test gear, pulley, and sprocket systems. Calculate work and power in mechanical systems. Determine efficiency in a mechanical system. Design, create, test, and evaluate a compound machine design. Choose appropriate inputs and outputs based on the need of a technological system. Differentiate between the characteristics of digital and analog devices. Judge between open and closed loop systems in order to choose the most appropriate system for a given technological problem. Create system control programs that utilize flowchart logic. Design and create a control system based on given needs and constraints. Identify devices that utilize fluid power. Identify and explain basic components and functions of fluid power devices. Differentiate between the characteristics of pneumatic and hydraulic systems. Distinguish between hydrodynamic and hydrostatic systems. Design, create, and test a hydraulic device. Design, create, and test a pneumatic device. Calculate values in a fluid power system utilizing Pascal s Law. Distinguish between pressure and absolute pressure. Lesson 2.2 Machine Control Lesson 2.3 Fluid Power Lesson 2.4 Design Problem 3

4 Distinguish between temperature and absolute temperature. Calculate values in a pneumatic system utilizing the perfect gas laws. Calculate flow rate, flow velocity, and mechanical advantage in a hydraulic system. Brainstorm and sketch possible solutions to an existing design problem. Create a decision making matrix for their design problem. Select an approach that meets or satisfies the constraints provided in a design brief. Create a detailed pictorial sketch or use 3D modeling software to document the best choice, based upon the design team s decision matrix. Present a workable solution to the design problem. 4

5 Unit 3 Materials (20 days) Lesson 3.1 Materials Properties It is expected that students will: Investigate materials using an Internet database to identify and analyze materials of selected products. Model two parts of selected products using 3D modeling software. Calculate the density and volume for the material of the parts to be modeled. Identify the manufacturing processes used to create the parts selected. Identify the recycling codes to the parts modeled. Create a sign, cartoon, song, commercial, vehicle tag, t-shirt, or packaging for two different products that will encourage a specific age group to recycle. Utilize a five-step technique to solve word problems. Obtain measurements of material samples. Test various samples of potential materials for the construction of a concrete bridge. Complete basic static and statistical calculations for a concrete bridge. Design, construct, and test a concrete bridge. Develop and maintain a budget for the design of a concrete bridge. Brainstorm and sketch possible solutions to an existing design problem. Create a decision making matrix for the design problem. Select an approach that meets or satisfies the constraints given in a design brief. Create a detailed pictorial sketch or use 3D modeling software to document the best choice, based upon your team s decision matrix. Present a workable design solution. Lesson 3.2 Materials Testing Lesson 3.3 Materials Design Problem 5

6 Unit 4 Statics & Dynamics (22 days) Lesson 4.1 Statics Create free body diagrams of objects, identifying all forces acting on the object Mathematically locate the centroid of a rectangle and a triangle. Locate the centroid of common beam crosssectional areas using software. Calculate moment of inertia for a rectangular shape. Differentiate between scalar and vector quantities. Identify magnitude, direction, and sense of a vector. Calculate the X and Y components given a vector. Calculate moment forces given a specified axis. Use equations of equilibrium to calculate unknown forces. Use the method of joints strategy to determine forces in the members of a statically determinate truss. Calculate distance, displacement, speed, velocity, and acceleration from data. Design, build, and test a vehicle that stores and releases potential energy for propulsion. Calculate acceleration due to gravity given data from a free fall device. Calculate the X and Y components of a projectile motion. Determine the needed angle to launch a projectile a specific range given the projectile s initial velocity. Brainstorm and sketch possible solutions to an existing design problem. Create a decision making matrix for their design problem. Select an approach that meets or satisfies the constraints provided in a design brief. Create a detailed pictorial sketch or use 3D Lesson 4.2 Dynamics Lesson Statics and Dynamics Design Problem 6

7 modeling software to document the best choice, based upon your team s decision matrix. Present a workable solution to the design problem. 7

8 Unit 5 Biomedical (61 days) It is expected that students will: 34. Demonstrate the application of engineering design principles by improving upon existing hospital designs or surgical equipment designs. 35. Demonstrate the application of product liability, product reliability, product reusability, and product failure. 36. Develop a portfolio identifying anatomical joint features and movements. 37. Build a joint model with the same degrees of freedom as the human counterpart. 38. Design and sketch a new joint replacement and solid model approved sketches. 39. Develop a materials and development cost for the joint design and surgical implant. 40. Synthesize skeletal system concepts with the design process for engineering joints. 41. Research heart diseases and disorders. 42. Sketch and provide a solid model of heart chambers and valves. 43. Research procedures involving artificial heart surgery and present the cost of a proposed noninvasive implant. 44. Research and create a set of improvements for imaging techniques. 45. Design a portable ECG monitor and study the electrical aspects associated with the heart. 46. Research and design improvements in heart implants or instruments. 47. Perform a virtual heart surgery to better understand the instruments and implants in need of improving. Lesson Biomedical Engineering (12 days) Biomedical Guidelines (4 days) Healthcare Engineering (8 days) Lesson 5.2 Orthopedics (30 days) The Skeletal System (8 days) Orthopedic Implants (5 days) Material Properties of Joints (17 days) Lesson 5.3 Cardiovascular Devices and Imaging (19 days) Key to My Heart (2 days) Heart of the Matter (10 days) MRI and Body Planes WebQuest (2 days) The Beat is On (5 days) Electrifying Engineer (optional) 8

[3] Rigid Body Analysis

[3] Rigid Body Analysis [3] Rigid Body Analysis Page 1 of 53 [3] Rigid Body Analysis [3.1] Equilibrium of a Rigid Body [3.2] Equations of Equilibrium [3.3] Equilibrium in 3-D [3.4] Simple Trusses [3.5] The Method of Joints [3.6]

More information

ACTIVITY FIVE-A NEWTON S SECOND LAW: THE ATWOOD MACHINE

ACTIVITY FIVE-A NEWTON S SECOND LAW: THE ATWOOD MACHINE 1 ACTIVITY FIVE-A NEWTON S SECOND LAW: THE ATWOOD MACHINE PURPOSE For this experiment, the Motion Visualizer (MV) is used to capture the motion of two masses which are suspended above the ground and connected

More information

MEEN 3360 Engineering Design and Simulation Spring 2016 Homework #1 This homework is due Tuesday, February 2, From your book and other

MEEN 3360 Engineering Design and Simulation Spring 2016 Homework #1 This homework is due Tuesday, February 2, From your book and other MEEN 3360 Engineering Design and Simulation Spring 2016 Homework #1 This homework is due Tuesday, February 2, 2016 1.0 From your book and other sources, write a paragraph explaining CFD and finite element

More information

Benchmark Assessment when instruction is complete..

Benchmark Assessment when instruction is complete.. First Nine Weeks Powers of 10, Perfect Squares, Absolute Value 7.1 The student will a) investigate and describe the concept of negative exponents for powers of ten; b) *compare and order (no more than

More information

Name Period. (b) Now measure the distances from each student to the starting point. Write those 3 distances here. (diagonal part) R measured =

Name Period. (b) Now measure the distances from each student to the starting point. Write those 3 distances here. (diagonal part) R measured = Lesson 5: Vectors and Projectile Motion Name Period 5.1 Introduction: Vectors vs. Scalars (a) Read page 69 of the supplemental Conceptual Physics text. Name at least 3 vector quantities and at least 3

More information

Mathematics Scope & Sequence Grade 7 Revised: June 9, 2017 First Quarter (38 Days)

Mathematics Scope & Sequence Grade 7 Revised: June 9, 2017 First Quarter (38 Days) Mathematics Scope & Sequence 2017-2018 Grade 7 Revised: June 9, 2017 First Quarter (38 ) 7.3B apply and extend previous understandings of operations to solve problems using addition, subtraction, multiplication,

More information

CUSTOMIZED TEACHER ASSESSMENT BLUEPRINT. Test Code: 5936 Version: 01

CUSTOMIZED TEACHER ASSESSMENT BLUEPRINT. Test Code: 5936 Version: 01 CUSTOMIZED TEACHER ASSESSMENT BLUEPRINT ELECTROMECHANICAL ENGINEERING TECHNOLOGY PA Test Code: 5936 Version: 01 Specific competencies and skills tested in this assessment: Technical Documentation and Safety

More information

Tutorial 1: Welded Frame - Problem Description

Tutorial 1: Welded Frame - Problem Description Tutorial 1: Welded Frame - Problem Description Introduction In this first tutorial, we will analyse a simple frame: firstly as a welded frame, and secondly as a pin jointed truss. In each case, we will

More information

MATH 31A HOMEWORK 9 (DUE 12/6) PARTS (A) AND (B) SECTION 5.4. f(x) = x + 1 x 2 + 9, F (7) = 0

MATH 31A HOMEWORK 9 (DUE 12/6) PARTS (A) AND (B) SECTION 5.4. f(x) = x + 1 x 2 + 9, F (7) = 0 FROM ROGAWSKI S CALCULUS (2ND ED.) SECTION 5.4 18.) Express the antiderivative F (x) of f(x) satisfying the given initial condition as an integral. f(x) = x + 1 x 2 + 9, F (7) = 28.) Find G (1), where

More information

Projectile Trajectory Scenarios

Projectile Trajectory Scenarios Projectile Trajectory Scenarios Student Worksheet Name Class Note: Sections of this document are numbered to correspond to the pages in the TI-Nspire.tns document ProjectileTrajectory.tns. 1.1 Trajectories

More information

MACHINES AND MECHANISMS

MACHINES AND MECHANISMS MACHINES AND MECHANISMS APPLIED KINEMATIC ANALYSIS Fourth Edition David H. Myszka University of Dayton PEARSON ж rentice Hall Pearson Education International Boston Columbus Indianapolis New York San Francisco

More information

Introduction. Section 3: Structural Analysis Concepts - Review

Introduction. Section 3: Structural Analysis Concepts - Review Introduction In this class we will focus on the structural analysis of framed structures. Framed structures consist of components with lengths that are significantly larger than crosssectional areas. We

More information

Vector Decomposition

Vector Decomposition Projectile Motion AP Physics 1 Vector Decomposition 1 Coordinate Systems A coordinate system is an artificially imposed grid that you place on a problem. You are free to choose: Where to place the origin,

More information

TIPS4Math Grades 4 to 6 Overview Grade 4 Grade 5 Grade 6 Collect, Organize, and Display Primary Data (4+ days)

TIPS4Math Grades 4 to 6 Overview Grade 4 Grade 5 Grade 6 Collect, Organize, and Display Primary Data (4+ days) Collect, Organize, and Display Primary Data (4+ days) Collect, Organize, Display and Interpret Categorical Data (5+ days) 4m88 Collect data by conducting a survey or an experiment to do with the 4m89 Collect

More information

Mathematics Scope & Sequence Grade 7 Revised: June 3, 2016 First Six Weeks (24 Days)

Mathematics Scope & Sequence Grade 7 Revised: June 3, 2016 First Six Weeks (24 Days) Mathematics Scope & Sequence 2016-2017 Grade 7 Revised: June 3, 2016 First Six Weeks (24 ) 7.3B apply and extend previous understandings of operations to solve problems using addition, subtraction, multiplication,

More information

Advanced Systems Technology Program

Advanced Systems Technology Program Advanced Systems Technology Program Organization Washburn Institute of Technology Program Number 47.0303 Instructional Level Instructional Area Certificate Industrial Technology Target Population Secondary

More information

AMass Tutorial: Introduction to the Java AMass applet

AMass Tutorial: Introduction to the Java AMass applet AMass Tutorial: Introduction to the 13.021 Java AMass applet The purpose of this document is to familiarize you with the 13.021 Java AMass applet. This applet can be found at http://web.mit.edu/13.021/www/software.html.

More information

AMass Tutorial. Introduction to the 2.20 Java AMass applet

AMass Tutorial. Introduction to the 2.20 Java AMass applet AMass Tutorial Introduction to the 2.20 Java AMass applet The purpose of this document is to familiarize you with the 2.20 Java AMass applet. This applet can be found at http://ocw.mit.edu/ocwweb/mechanical-engineering/2-20spring-

More information

Beams. Lesson Objectives:

Beams. Lesson Objectives: Beams Lesson Objectives: 1) Derive the member local stiffness values for two-dimensional beam members. 2) Assemble the local stiffness matrix into global coordinates. 3) Assemble the structural stiffness

More information

Lesson 1: Introduction to Pro/MECHANICA Motion

Lesson 1: Introduction to Pro/MECHANICA Motion Lesson 1: Introduction to Pro/MECHANICA Motion 1.1 Overview of the Lesson The purpose of this lesson is to provide you with a brief overview of Pro/MECHANICA Motion, also called Motion in this book. Motion

More information

Electrical Technology

Electrical Technology Electrical Technology 144 Electrical Technology Location: Patterson Campus - Bldg. M Program Information Electrical wiring is an integral part of industry, commercial enterprises, and residential homes.

More information

Dinwiddie County Public Schools Subject: Math 7 Scope and Sequence

Dinwiddie County Public Schools Subject: Math 7 Scope and Sequence Dinwiddie County Public Schools Subject: Math 7 Scope and Sequence GRADE: 7 Year - 2013-2014 9 WKS Topics Targeted SOLS Days Taught Essential Skills 1 ARI Testing 1 1 PreTest 1 1 Quadrilaterals 7.7 4 The

More information

Scalars & Vectors Learning Outcomes

Scalars & Vectors Learning Outcomes 1 Scalars & Vectors Learning Outcomes Differentiate between scalars and vectors. Recognise quantities as either scalars or vectors. Add vectors. Use coordinates to represent and work with vectors. Decompose

More information

Kinematics of the Stewart Platform (Reality Check 1: page 67)

Kinematics of the Stewart Platform (Reality Check 1: page 67) MATH 5: Computer Project # - Due on September 7, Kinematics of the Stewart Platform (Reality Check : page 7) A Stewart platform consists of six variable length struts, or prismatic joints, supporting a

More information

Solving Linear Equations: Prentice Hall Lesson # 1-4; 3-1,2,3; 3-6; 5-1 thru 4; 6-1, 2. Graphing Linear Equations: PH Lesson 1-4

Solving Linear Equations: Prentice Hall Lesson # 1-4; 3-1,2,3; 3-6; 5-1 thru 4; 6-1, 2. Graphing Linear Equations: PH Lesson 1-4 9-12 Achievement/Math: Algebra I Goal A: Algebra I: [Student] will complete Algebra I assignments which address content with greater depth and higher levels of complexity as evidenced by mastery of [1/2/3/4/5/6/7/8/9/10]

More information

midas Civil Advanced Webinar Date: February 9th, 2012 Topic: General Use of midas Civil Presenter: Abhishek Das Bridging Your Innovations to Realities

midas Civil Advanced Webinar Date: February 9th, 2012 Topic: General Use of midas Civil Presenter: Abhishek Das Bridging Your Innovations to Realities Advanced Webinar Date: February 9th, 2012 Topic: General Use of midas Civil Presenter: Abhishek Das Contents: Overview Modeling Boundary Conditions Loading Analysis Results Design and Misc. Introduction

More information

Finite Element Method. Chapter 7. Practical considerations in FEM modeling

Finite Element Method. Chapter 7. Practical considerations in FEM modeling Finite Element Method Chapter 7 Practical considerations in FEM modeling Finite Element Modeling General Consideration The following are some of the difficult tasks (or decisions) that face the engineer

More information

September 20, Chapter 5. Simple Mechanisms. Mohammad Suliman Abuhaiba, Ph.D., PE

September 20, Chapter 5. Simple Mechanisms. Mohammad Suliman Abuhaiba, Ph.D., PE Chapter 5 Simple Mechanisms 1 Mohammad Suliman Abuhaiba, Ph.D., PE 2 Assignment #1 All questions at the end of chapter 1 st Exam: Saturday 29/9/2018 3 Kinematic Link or Element kinematic link (link) or

More information

Graphs of Equations. MATH 160, Precalculus. J. Robert Buchanan. Fall Department of Mathematics. J. Robert Buchanan Graphs of Equations

Graphs of Equations. MATH 160, Precalculus. J. Robert Buchanan. Fall Department of Mathematics. J. Robert Buchanan Graphs of Equations Graphs of Equations MATH 160, Precalculus J. Robert Buchanan Department of Mathematics Fall 2011 Objectives In this lesson we will learn to: sketch the graphs of equations, find the x- and y-intercepts

More information

Mathematics Scope & Sequence Grade 7 Revised: June 2015

Mathematics Scope & Sequence Grade 7 Revised: June 2015 Rational Numbers Mathematics Scope & Sequence 2015-16 Grade 7 Revised: June 2015 First Six Weeks (29 ) 7.3B apply and extend previous understandings of operations to solve problems using addition, subtraction,

More information

Using Technology to Make Connections in Algebra

Using Technology to Make Connections in Algebra Using Technology to Make Connections in Algebra Richard Parr rparr@rice.edu Rice University School Mathematics Project http://rusmp.rice.edu All On The Line Alg1Week17_Systems.tns Name Class Problem 1

More information

Module 1: Introduction to Finite Element Analysis. Lecture 4: Steps in Finite Element Analysis

Module 1: Introduction to Finite Element Analysis. Lecture 4: Steps in Finite Element Analysis 25 Module 1: Introduction to Finite Element Analysis Lecture 4: Steps in Finite Element Analysis 1.4.1 Loading Conditions There are multiple loading conditions which may be applied to a system. The load

More information

Important. Compact Trigonometry CSO Prioritized Curriculum. Essential. Page 1 of 6

Important. Compact Trigonometry CSO Prioritized Curriculum. Essential. Page 1 of 6 Essential Important Compact Trigonometry CSO Prioritized Curriculum M.O.T.3.1 apply the right triangle definition of the six trigonometric functions of an angle to determine the values of the function

More information

Centroid Principles. Object s center of gravity or center of mass. Graphically labeled as

Centroid Principles. Object s center of gravity or center of mass. Graphically labeled as Centroids Centroid Principles Object s center of gravity or center of mass. Graphically labeled as Centroid Principles Point of applied force caused by acceleration due to gravity. Object is in state of

More information

Ch 22 Inspection Technologies

Ch 22 Inspection Technologies Ch 22 Inspection Technologies Sections: 1. Inspection Metrology 2. Contact vs. Noncontact Inspection Techniques 3. Conventional Measuring and Gaging Techniques 4. Coordinate Measuring Machines 5. Surface

More information

17. SEISMIC ANALYSIS MODELING TO SATISFY BUILDING CODES

17. SEISMIC ANALYSIS MODELING TO SATISFY BUILDING CODES 17. SEISMIC ANALYSIS MODELING TO SATISFY BUILDING CODES The Current Building Codes Use the Terminology: Principal Direction without a Unique Definition 17.1 INTRODUCTION { XE "Building Codes" }Currently

More information

Goals: Course Unit: Describing Moving Objects Different Ways of Representing Functions Vector-valued Functions, or Parametric Curves

Goals: Course Unit: Describing Moving Objects Different Ways of Representing Functions Vector-valued Functions, or Parametric Curves Block #1: Vector-Valued Functions Goals: Course Unit: Describing Moving Objects Different Ways of Representing Functions Vector-valued Functions, or Parametric Curves 1 The Calculus of Moving Objects Problem.

More information

ANALYSIS OF PLANE FRAME STRUCTURE WITH MATLAB AND SAP2000 PROGRAMS

ANALYSIS OF PLANE FRAME STRUCTURE WITH MATLAB AND SAP2000 PROGRAMS ANALYSIS OF PLANE FRAME STRUCTURE WITH MATLAB AND SAP2000 PROGRAMS Abdul Ahad FAIZAN Master Student, Dept. of Civil Engineering, Sakarya University, Sakarya, Turkey ---------------------------------------------------------------------***---------------------------------------------------------------------

More information

Since a projectile moves in 2-dimensions, it therefore has 2 components just like a resultant vector: Horizontal Vertical

Since a projectile moves in 2-dimensions, it therefore has 2 components just like a resultant vector: Horizontal Vertical Since a projectile moves in 2-dimensions, it therefore has 2 components just like a resultant vector: Horizontal Vertical With no gravity the projectile would follow the straight-line path (dashed line).

More information

Simulation-Based Design of Robotic Systems

Simulation-Based Design of Robotic Systems Simulation-Based Design of Robotic Systems Shadi Mohammad Munshi* & Erik Van Voorthuysen School of Mechanical and Manufacturing Engineering, The University of New South Wales, Sydney, NSW 2052 shadimunshi@hotmail.com,

More information

FEMLAB Exercise 1 for ChE366

FEMLAB Exercise 1 for ChE366 FEMLAB Exercise 1 for ChE366 Problem statement Consider a spherical particle of radius r s moving with constant velocity U in an infinitely long cylinder of radius R that contains a Newtonian fluid. Let

More information

ASSIGNMENT 1 INTRODUCTION TO CAD

ASSIGNMENT 1 INTRODUCTION TO CAD Computer Aided Design(2161903) ASSIGNMENT 1 INTRODUCTION TO CAD Theory 1. Discuss the reasons for implementing a CAD system. 2. Define computer aided design. Compare computer aided design and conventional

More information

Scope and Sequence for the Maryland Voluntary State Curriculum for Mathematics

Scope and Sequence for the Maryland Voluntary State Curriculum for Mathematics Scope and Sequence for the Maryland Voluntary State Curriculum for Mathematics The following chart provides an overview of where within Prentice Hall Course 1 Mathematics each of the Objectives of the

More information

Application. Automation Studio is now compatible with Windows 8.

Application. Automation Studio is now compatible with Windows 8. March 2013 Application Automation Studio is now compatible with Windows 8. 2 Quick Access to Translations A new Translation Manager quick access button was added to the toolbar. It is also possible to

More information

Mathematics Scope & Sequence Grade 8 Revised: 5/24/2017

Mathematics Scope & Sequence Grade 8 Revised: 5/24/2017 Mathematics Scope & Sequence 2017-18 Grade 8 Revised: 5/24/2017 First Grading Period (38 days) 8.2D Order a set of real numbers arising from mathematical and real-world contexts (ACT) Convert between standard

More information

Mining Engineering Technician: Speciality Mine Exploitation

Mining Engineering Technician: Speciality Mine Exploitation Mining Engineering Technician: Speciality Mine Exploitation FIRST YEAR PHYSICAL BASES OF ENGINEERING 9220001 Core 1st 1st semester 6 7.2 Mechanics. Electricity. Thermodynamics. Fluid mechanics. Classes

More information

MSMS (02PCYQW)

MSMS (02PCYQW) MSMS (02PCYQW) 2016-2017 Organization: the course is composed of two parts: the first part is devoted to the Lagrange (LAG) approach the second part is devoted to the Bond-Graph (BG) approach Each part

More information

SPH3U1 Lesson 12 Kinematics

SPH3U1 Lesson 12 Kinematics SPH3U1 Lesson 12 Kinematics PROJECTILE MOTION LEARNING GOALS Students will: Describe the motion of an object thrown at arbitrary angles through the air. Describe the horizontal and vertical motions of

More information

Project-based course of Applied Dynamics with computer simulation Tools Working Model 2D

Project-based course of Applied Dynamics with computer simulation Tools Working Model 2D Project-based course of Applied Dynamics with computer simulation Tools Working Model 2D Prof. Ti Lin, Liu Department of Manufacturing & Mechanical Engineering Technology/Packaging Science Rochester Institute

More information

EXPLORE MATHEMATICS TEST

EXPLORE MATHEMATICS TEST EXPLORE MATHEMATICS TEST Table 4: The College Readiness The describe what students who score in the specified score ranges are likely to know and to be able to do. The help teachers identify ways of enhancing

More information

Guidelines for proper use of Plate elements

Guidelines for proper use of Plate elements Guidelines for proper use of Plate elements In structural analysis using finite element method, the analysis model is created by dividing the entire structure into finite elements. This procedure is known

More information

Lecture 17. ENGR-1100 Introduction to Engineering Analysis CENTROID OF COMPOSITE AREAS

Lecture 17. ENGR-1100 Introduction to Engineering Analysis CENTROID OF COMPOSITE AREAS ENGR-00 Introduction to Engineering Analysis Lecture 7 CENTROID OF COMPOSITE AREAS Today s Objective : Students will: a) Understand the concept of centroid. b) Be able to determine the location of the

More information

Quadratic Functions CHAPTER. 1.1 Lots and Projectiles Introduction to Quadratic Functions p. 31

Quadratic Functions CHAPTER. 1.1 Lots and Projectiles Introduction to Quadratic Functions p. 31 CHAPTER Quadratic Functions Arches are used to support the weight of walls and ceilings in buildings. Arches were first used in architecture by the Mesopotamians over 4000 years ago. Later, the Romans

More information

Theory of Machines Course # 1

Theory of Machines Course # 1 Theory of Machines Course # 1 Ayman Nada Assistant Professor Jazan University, KSA. arobust@tedata.net.eg March 29, 2010 ii Sucess is not coming in a day 1 2 Chapter 1 INTRODUCTION 1.1 Introduction Mechanisms

More information

CHAPTER 3. Elementary Fluid Dynamics

CHAPTER 3. Elementary Fluid Dynamics CHAPTER 3. Elementary Fluid Dynamics - Understanding the physics of fluid in motion - Derivation of the Bernoulli equation from Newton s second law Basic Assumptions of fluid stream, unless a specific

More information

Example 13 - Shock Tube

Example 13 - Shock Tube Example 13 - Shock Tube Summary This famous experiment is interesting for observing the shock-wave propagation. Moreover, this case uses the representation of perfect gas and compares the different formulations:

More information

Towards the Consumerization of Smart Sensors

Towards the Consumerization of Smart Sensors Towards the Consumerization of Smart Sensors Roberto De Nuccio Business Development Manager MEMS, Sensors and High-Performance Analog Division STMicroelectronics Micro-Electro-Mechanical Systems (MEMS)

More information

Cecilia Laschi The BioRobotics Institute Scuola Superiore Sant Anna, Pisa

Cecilia Laschi The BioRobotics Institute Scuola Superiore Sant Anna, Pisa University of Pisa Master of Science in Computer Science Course of Robotics (ROB) A.Y. 2016/17 cecilia.laschi@santannapisa.it http://didawiki.cli.di.unipi.it/doku.php/magistraleinformatica/rob/start Robot

More information

Scope and Sequence: National Curriculum Mathematics from Haese Mathematics (4 7)

Scope and Sequence: National Curriculum Mathematics from Haese Mathematics (4 7) Scope and Sequence: National Curriculum Mathematics from Haese Mathematics (4 7) http://www.haesemathematics.com.au/ Last updated: 15/04/2016 Year Level Number and Algebra Number and place value Representation

More information

Revision of the SolidWorks Variable Pressure Simulation Tutorial J.E. Akin, Rice University, Mechanical Engineering. Introduction

Revision of the SolidWorks Variable Pressure Simulation Tutorial J.E. Akin, Rice University, Mechanical Engineering. Introduction Revision of the SolidWorks Variable Pressure Simulation Tutorial J.E. Akin, Rice University, Mechanical Engineering Introduction A SolidWorks simulation tutorial is just intended to illustrate where to

More information

Unit Maps: Grade 1 Math

Unit Maps: Grade 1 Math Numbers and Place Value 1.3 Place value. The student represents and compares whole numbers, the relative position and magnitude of whole numbers, and relationships within the numeration system related

More information

Mathematics Scope & Sequence Algebra I

Mathematics Scope & Sequence Algebra I Mathematics Scope & Sequence 2016-17 Algebra I Revised: June 20, 2016 First Grading Period (24 ) Readiness Standard(s) Solving Equations and Inequalities A.5A solve linear equations in one variable, including

More information

2. Give an example of a non-constant function f(x, y) such that the average value of f over is 0.

2. Give an example of a non-constant function f(x, y) such that the average value of f over is 0. Midterm 3 Review Short Answer 2. Give an example of a non-constant function f(x, y) such that the average value of f over is 0. 3. Compute the Riemann sum for the double integral where for the given grid

More information

Manipulator Path Control : Path Planning, Dynamic Trajectory and Control Analysis

Manipulator Path Control : Path Planning, Dynamic Trajectory and Control Analysis Manipulator Path Control : Path Planning, Dynamic Trajectory and Control Analysis Motion planning for industrial manipulators is a challenging task when obstacles are present in the workspace so that collision-free

More information

Introduction to Solid Modeling Using SolidWorks 2008 COSMOSMotion Tutorial Page 1

Introduction to Solid Modeling Using SolidWorks 2008 COSMOSMotion Tutorial Page 1 Introduction to Solid Modeling Using SolidWorks 2008 COSMOSMotion Tutorial Page 1 In this tutorial, we will learn the basics of performing motion analysis using COSMOSMotion. Although the tutorial can

More information

Agile Mind Mathematics 6 Scope & Sequence for Common Core State Standards, DRAFT

Agile Mind Mathematics 6 Scope & Sequence for Common Core State Standards, DRAFT Agile Mind Mathematics 6 Scope & Sequence for, 2013-2014 DRAFT FOR GIVEN EXPONENTIAL SITUATIONS: GROWTH AND DECAY: Engaging problem-solving situations and effective strategies including appropriate use

More information

High School Geometry

High School Geometry High School Geometry This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular

More information

Electrical Technology (ELT)

Electrical Technology (ELT) 142 The College for Real Careers (ELT) Program Information Electrical wiring is an integral part of industry, commercial enterprises, and residential homes. The Electrical/Instrumentation Technology curriculum

More information

Math 6 Long Range Plans Bill Willis. Strand: NUMBER Develop number sense. Textbook: Math Makes Sense 6

Math 6 Long Range Plans Bill Willis. Strand: NUMBER Develop number sense. Textbook: Math Makes Sense 6 Math 6 Long Range Plans 2012-2013 Bill Willis Rationale: Based upon the mathematics program of studies, our learning environment will value and respect the diversity of students experiences and ways of

More information

Roswell Independent School District Grade Level Targets Summer 2010

Roswell Independent School District Grade Level Targets Summer 2010 1 NM Standards Children s Progress Core Standards Target: Possesses a working knowledge of the base ten number system, including ones and tens. Q1 Counts, sketches and represents some numbers. Q2 Counts,

More information

Chapter 1 Introduction

Chapter 1 Introduction Chapter 1 Introduction GTU Paper Analysis (New Syllabus) Sr. No. Questions 26/10/16 11/05/16 09/05/16 08/12/15 Theory 1. What is graphic standard? Explain different CAD standards. 2. Write Bresenham s

More information

Finite element method - tutorial no. 1

Finite element method - tutorial no. 1 Martin NESLÁDEK Faculty of mechanical engineering, CTU in Prague 11th October 2017 1 / 22 Introduction to the tutorials E-mail: martin.nesladek@fs.cvut.cz Room no. 622 (6th floor - Dept. of mechanics,

More information

CITY AND GUILDS 9210 UNIT 135 MECHANICS OF SOLIDS Level 6 TUTORIAL 15 - FINITE ELEMENT ANALYSIS - PART 1

CITY AND GUILDS 9210 UNIT 135 MECHANICS OF SOLIDS Level 6 TUTORIAL 15 - FINITE ELEMENT ANALYSIS - PART 1 Outcome 1 The learner can: CITY AND GUILDS 9210 UNIT 135 MECHANICS OF SOLIDS Level 6 TUTORIAL 15 - FINITE ELEMENT ANALYSIS - PART 1 Calculate stresses, strain and deflections in a range of components under

More information

Preview. Two-Dimensional Motion and Vectors Section 1. Section 1 Introduction to Vectors. Section 2 Vector Operations. Section 3 Projectile Motion

Preview. Two-Dimensional Motion and Vectors Section 1. Section 1 Introduction to Vectors. Section 2 Vector Operations. Section 3 Projectile Motion Two-Dimensional Motion and Vectors Section 1 Preview Section 1 Introduction to Vectors Section 2 Vector Operations Section 3 Projectile Motion Section 4 Relative Motion Two-Dimensional Motion and Vectors

More information

ANSYS Workbench Guide

ANSYS Workbench Guide ANSYS Workbench Guide Introduction This document serves as a step-by-step guide for conducting a Finite Element Analysis (FEA) using ANSYS Workbench. It will cover the use of the simulation package through

More information

Mechatronic Design Approach D R. T A R E K A. T U T U N J I P H I L A D E L P H I A U N I V E R S I T Y, J O R D A N

Mechatronic Design Approach D R. T A R E K A. T U T U N J I P H I L A D E L P H I A U N I V E R S I T Y, J O R D A N Mechatronic Design Approach D R. T A R E K A. T U T U N J I P H I L A D E L P H I A U N I V E R S I T Y, J O R D A N 2 0 1 3 Mechatronics: Synergetic Integration of Different Disciplines [Ref.] Prof. Rolf

More information

NOISE PROPAGATION FROM VIBRATING STRUCTURES

NOISE PROPAGATION FROM VIBRATING STRUCTURES NOISE PROPAGATION FROM VIBRATING STRUCTURES Abstract R. Helfrich, M. Spriegel (INTES GmbH, Germany) Noise and noise exposure are becoming more important in product development due to environmental legislation.

More information

Today we will revisit Fred, our parent function, and investigate transformations other than translations.

Today we will revisit Fred, our parent function, and investigate transformations other than translations. Transformations with Fred Day 2 KEY/TEACHER NOTES Today we will revisit Fred, our parent function, and investigate transformations other than translations. Recall that the equation for Fred is y =. Complete

More information

6 PETAL Math Pacing Guide Lynchburg City Schools

6 PETAL Math Pacing Guide Lynchburg City Schools Grading Period: 1 st Nine Weeks Days to Teach = 44 SOL & Enabling Objectives: Description Text Recommended Activities Time Frame Begin the school year with relationship building activities continue integrating

More information

Internal Forces and Moments

Internal Forces and Moments Introduction Internal Forces and Moments To a very large extend this chapter is simply an extension of Section 6.3, The Method of Sections. The section on curved cables is new material. The section on

More information

A simple example. Assume we want to find the change in the rotation angles to get the end effector to G. Effect of changing s

A simple example. Assume we want to find the change in the rotation angles to get the end effector to G. Effect of changing s CENG 732 Computer Animation This week Inverse Kinematics (continued) Rigid Body Simulation Bodies in free fall Bodies in contact Spring 2006-2007 Week 5 Inverse Kinematics Physically Based Rigid Body Simulation

More information

MERBEIN P-10 COLLEGE MATHS SCOPE & SEQUENCE

MERBEIN P-10 COLLEGE MATHS SCOPE & SEQUENCE MERBEIN P-10 COLLEGE MATHS SCOPE & SEQUENCE Year Number & Algebra Measurement & Geometry Statistics & Probability P Numbers to 20 Location Data collection Counting and comparing groups Length Ordinal numbers

More information

Lecture #9 Matrix methods

Lecture #9 Matrix methods Lecture #9 Matrix methods METHODS TO SOLVE INDETERMINATE PROBLEM Small degree of statical indeterminacy Force method Displacement methods Displacement method in matrix formulation Large degree of statical

More information

Agile Mind Mathematics 6 Scope and Sequence, Indiana Academic Standards for Mathematics

Agile Mind Mathematics 6 Scope and Sequence, Indiana Academic Standards for Mathematics In the three years prior Grade 6, students acquired a strong foundation in numbers and operations, geometry, measurement, and data. Students are fluent in multiplication of multi-digit whole numbers and

More information

Samara center for nanosatellite testing: opportunities and services. Associate Professor, Technical Director of CTN Ivliev Alexander V.

Samara center for nanosatellite testing: opportunities and services. Associate Professor, Technical Director of CTN Ivliev Alexander V. Samara center for nanosatellite testing: opportunities and services Associate Professor, Technical Director of CTN Ivliev Alexander V. Samara 2017 THE GOALS AND OBGECTIVES OF THE CNT Center of nanosatellites

More information

Zero Launch Angle. since θ=0, then v oy =0 and v ox = v o. The time required to reach the water. independent of v o!!

Zero Launch Angle. since θ=0, then v oy =0 and v ox = v o. The time required to reach the water. independent of v o!! Zero Launch Angle y h since θ=0, then v oy =0 and v ox = v o and based on our coordinate system we have x o =0, y o =h x The time required to reach the water independent of v o!! 1 2 Combining Eliminating

More information

CAMI Education links: Maths NQF Level 2

CAMI Education links: Maths NQF Level 2 - 1 - CONTENT 1.1 Computational tools, estimation and approximations 1.2 Numbers MATHEMATICS - NQF Level 2 LEARNING OUTCOME Scientific calculator - addition - subtraction - multiplication - division -

More information

T.S.SRINIVASAN CENTRE FOR POLYTECHNIC COLLEGE AND ADVANCED TRAINING

T.S.SRINIVASAN CENTRE FOR POLYTECHNIC COLLEGE AND ADVANCED TRAINING DEPARTMENT OF MECHATRONICS ENGINEERING CPAT ADDITIONAL S SYLLABUS THIRD SEMESTER Subject Code Subject Hours per week SP3.1 Basic Electronic Soldering 2 SP3.2 Welding 2 FOURTH SEMESTER Subject Code Subject

More information

Mathematics Fourth Grade Performance Standards

Mathematics Fourth Grade Performance Standards Mathematics Fourth Grade Performance Standards Strand 1: Number and Operations Content Standard: Students will understand numerical concepts and mathematical operations. Benchmark 1: Understand numbers,

More information

Position and Piecewise Velocity

Position and Piecewise Velocity Math Objectives Students will modify a piecewise linear graph of velocity to model a scenario. Students will make connections between a graph of an object s velocity and a corresponding graph of an object

More information

SPC 307 Aerodynamics. Lecture 1. February 10, 2018

SPC 307 Aerodynamics. Lecture 1. February 10, 2018 SPC 307 Aerodynamics Lecture 1 February 10, 2018 Sep. 18, 2016 1 Course Materials drahmednagib.com 2 COURSE OUTLINE Introduction to Aerodynamics Review on the Fundamentals of Fluid Mechanics Euler and

More information

Amarillo ISD Math Curriculum

Amarillo ISD Math Curriculum Amarillo Independent School District follows the Texas Essential Knowledge and Skills (TEKS). All of AISD curriculum and documents and resources are aligned to the TEKS. The State of Texas State Board

More information

PRECALCULUS MATH Trigonometry 9-12

PRECALCULUS MATH Trigonometry 9-12 1. Find angle measurements in degrees and radians based on the unit circle. 1. Students understand the notion of angle and how to measure it, both in degrees and radians. They can convert between degrees

More information

HIGLEY UNIFIED SCHOOL DISTRICT 2016/2017 INSTRUCTIONAL ALIGNMENT

HIGLEY UNIFIED SCHOOL DISTRICT 2016/2017 INSTRUCTIONAL ALIGNMENT HIGLEY UNIFIED SCHOOL DISTRICT 2016/2017 INSTRUCTIONAL ALIGNMENT Third Grade Quarter 4 Unit 10: Geometry and Measurement Word Problems Approximately 40 Days Begin around March 27 th This 40-day final unit

More information

Fundamentals of Inverse Kinematics Using Scara Robot

Fundamentals of Inverse Kinematics Using Scara Robot Fundamentals of Inverse Kinematics Using Scara Robot Overview of SCARA Bot: The 2 Degree of freedom (DOF) Selective Compliance Articulate Robotic Arm (SCARA) (Selective Compliance Articulated Robot Arm)

More information

Generative Part Structural Analysis Fundamentals

Generative Part Structural Analysis Fundamentals CATIA V5 Training Foils Generative Part Structural Analysis Fundamentals Version 5 Release 19 September 2008 EDU_CAT_EN_GPF_FI_V5R19 About this course Objectives of the course Upon completion of this course

More information

SIMULATION ENVIRONMENT PROPOSAL, ANALYSIS AND CONTROL OF A STEWART PLATFORM MANIPULATOR

SIMULATION ENVIRONMENT PROPOSAL, ANALYSIS AND CONTROL OF A STEWART PLATFORM MANIPULATOR SIMULATION ENVIRONMENT PROPOSAL, ANALYSIS AND CONTROL OF A STEWART PLATFORM MANIPULATOR Fabian Andres Lara Molina, Joao Mauricio Rosario, Oscar Fernando Aviles Sanchez UNICAMP (DPM-FEM), Campinas-SP, Brazil,

More information

Modeling Skills Thermal Analysis J.E. Akin, Rice University

Modeling Skills Thermal Analysis J.E. Akin, Rice University Introduction Modeling Skills Thermal Analysis J.E. Akin, Rice University Most finite element analysis tasks involve utilizing commercial software, for which you do not have the source code. Thus, you need

More information

Background CE 342. Why RISA-2D? Availability

Background CE 342. Why RISA-2D? Availability Background CE 342 RISA-2D RISA-2D is a structural analysis program, which can model: Beams, frames, trusses and plates. Any linear elastic structural material. Typical supports, such as pins, rollers and

More information

Engineering Mechanics. Equilibrium of Rigid Bodies

Engineering Mechanics. Equilibrium of Rigid Bodies Engineering Mechanics Equilibrium of Rigid Bodies System is in equilibrium if and only if the sum of all the forces and moment (about any point) equals zero. Equilibrium Supports and Equilibrium Any structure

More information