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King Fahd University of Petroleum & Minerals. Mechanical Engineering Dynamics ME 201 BY Dr. Meyassar N. Al-Haddad Lecture # 36. Chapter 18 Planar Kinetics of Rigid Bodies: Work and Energy. Kinetic Energy. General. Translation. Rotation. Rotation.

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King Fahd University of Petroleum & Minerals

Mechanical Engineering

Dynamics ME 201

BY

Dr. Meyassar N. Al-Haddad

Lecture # 36


Chapter 18Planar Kinetics of Rigid Bodies:Work and Energy


Kinetic Energy


General

Translation

Rotation


Rotation


General Plane Motion (Translation and Rotation)


Example

Total K.E. ?

K.E. of the Body of Bike and man ( translational )

K.E of the wheel ( Translational + Rotational )

Total K.E. = 2 Twheel +T B+Man


mB=6 kg

mD=10 kg

mC=12 kg

No slipping

Total K.E = ?

Example 18-1

Block (Translation)

Disk (Rotation)

Cylinder ( Translation &Rotation)


Problem

wAB=wCD=10 Ib

wBC=20 Ib

Total K.E = ?


The work of a force


  • Work of a Spring Force


Force That Do No Work

  • Force Perpendicular to the displacement

  • Weight

  • Normal reaction

Rolling resistance force Fr

Fr acts at point which has zero velocity

The point is not displaced


Ox

Oy

On

Ot

Pin Reaction

Pin Reaction Do No work

Act on zero velocity and create no displacement


The Work of a couple

-Do work only when the body undergoes a rotation

-Translation : positive work cancels the negative work

-Rotation


Example 18-2

m =10 kg M = 50 NmP = 80N, unstretched 0.5 m total work ?


Thank you


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