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WSU VANCOUVER / Math / Mat 315 / Explain the meaning of kinematics.

Explain the meaning of kinematics.

Explain the meaning of kinematics.

Description

School: WSU Vancouver
Department: Math
Course: Differential Equations
Professor: Eric mapes
Term: Spring 2016
Tags: Mech 212, mechanical engineering, dynamics, Homework review, Chapter 15: Kinematics of Rigid Bodies, kinematics, Rigid Bodies, translation, Rotation, Rotation about an axis on the body, Examples, Extra examples from the additional review, and Velocity Analysis
Cost: 25
Name: Mech 212, Dynamics, Week 8 Notes
Description: Chapter 15: Kinematics of Rigid Bodies, Kinematics, Rigid Bodies, Translation, Rotation, Rotation about an axis on the body, Examples, Extra examples from the additional review, Velocity Analysis of Mechanisms, Rigid Bodies, General Motion, Slider-Crank Mechanism, Analysis of a 4 bar linkage
Uploaded: 03/12/2016
12 Pages 317 Views 0 Unlocks
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DynamicsIf you want to learn more check out What is a coordinaate system?

What we have/will cover:

  • Ch 11: Kinematics of Particles
  • Ch 12: Kinematics of Particles - Newton’s Law of Motion
  • Ch 13: Kinematics of Particles - Law of Conservation of Energy
  • Ch 14: skip
  • Ch 15: Kinematics of Rigid Bodies
  • Ch 16: Kinematics of Rigid Bodies - Newton's law of Motion
  • Ch 17: Kinematics of Rigid Bodies - Law of Conservation of Energy

We also discuss several other topics like What are the forces acting on spring problems?

Chapter 15: Kinematics of Rigid Bodies

If you want to learn more check out Explain the function of impulse in kinetic energy.

Kinematics: Relation among acceleration, velocity, displacement, time

Don't forget about the age old question of How do we do significance test from confidence intervals?

Rigid body: Trans/ Rotation

Trans + Rotation

If you want to learn more check out What do you mean by centric loading?

Translation

  • Along a straight path

Don't forget about the age old question of What was the single largest battle in world history?

  • Along a curved path

        

  • Rotation about an axis/point on the body

                                

 rate of change of angular displacement

                                        

        ↺  (ccw) counter clockwise

                ↻  (cw) clockwise

                                Without proof ∵         (3-D)

                                        

                                


Example:

                                                                in     rod/sec

                                                        

                                                        = lw

                                                

                                                        

                                                                


Example:

                                                        

                                                        

                                                                                

                                                        

                                                        

                

        

                        


Example                                                        

                                                

                                                

                                                        

                                


Translation and Rotation (General Motion)

                                                   

                        

  t                        path of motion                        

                                

        

 


Example

A, B are particles                                Analysis is at any given instant

AB = Rigid Body                                

                                        

                                                                

                

     ↘   ↙        

           

   

  • Solve for
  • Sub into (2)

+←                

+↑        


Dynamics Part 2:

13.57:

  • Law of conservation of Energy

only between two locations at a time.

                                                           

                                           

                                                                                         

                                                        

                                                                work of pull/ push force or

friction.

        

                        

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