King Fahd University of Petroleum & Minerals
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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

King Fahd University of Petroleum & Minerals

Mechanical Engineering

Dynamics ME 201

BY

Dr. Meyassar N. Al-Haddad

Lecture # 36


King fahd university of petroleum minerals

Chapter 18Planar Kinetics of Rigid Bodies:Work and Energy


King fahd university of petroleum minerals

Kinetic Energy


King fahd university of petroleum minerals

General

Translation

Rotation


King fahd university of petroleum minerals

Rotation


King fahd university of petroleum minerals

General Plane Motion (Translation and Rotation)


King fahd university of petroleum minerals

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


King fahd university of petroleum minerals

mB=6 kg

mD=10 kg

mC=12 kg

No slipping

Total K.E = ?

Example 18-1

Block (Translation)

Disk (Rotation)

Cylinder ( Translation &Rotation)


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Problem

wAB=wCD=10 Ib

wBC=20 Ib

Total K.E = ?


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The work of a force


King fahd university of petroleum minerals

  • Work of a Spring Force


King fahd university of petroleum minerals

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


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Ox

Oy

On

Ot

Pin Reaction

Pin Reaction Do No work

Act on zero velocity and create no displacement


King fahd university of petroleum minerals

The Work of a couple

-Do work only when the body undergoes a rotation

-Translation : positive work cancels the negative work

-Rotation


King fahd university of petroleum minerals

Example 18-2

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


King fahd university of petroleum minerals

Thank you


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