Kinetics Of A Rigid Body: Work And Energy

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The similarities of Chapter 14(Kinetics of a Particle : Work and Energy) and Chapter 18 (Planar Kinetics of a Rigid Body : Work and Energy)
No. Similarities Examples of chapter 14(Kinetics of a Particle : Work and Energy) Examples of chapter 18(Planar Kinetics of a Rigid Body : Work and Energy)
1 Both energy are scalar quantity

The kinetic energy of a rigid body that undergoes planar motion can be referenced to its mass center.It includes a scalar sum of its translational and rotational kinectic energies.

Translation :
mv2G

Rotation about a fixed axis :
mv2G IG
Or
IO

General Plane Motion:
mv2G IG
Or
T=1/2 IIC

2 Which states that the particles ‘s initial kinectic energy plus the work done by all forces
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The differences of Chapter 14(Kinetics of a Particle : Work and Energy) and Chapter 18 (Planar Kinetics of a Rigid Body : Work and Energy)
No Chapter 14(Kinetics of a Particle : Work and Energy) Chapter 18(Planar Kinetics of a Rigid Body : Work and Energy)
1 Kinematics of a particle is characterized by specifying ,at any given instant, the particle’s position,velocity and acceleration. The planar motion of a body occurs when all the particles of a rigid body move along paths which are equidistant from fixed plane.
2 A force does work when it undergoes a displacement along its line of action. A force does work when it undergoes a displacement ds in the direction of the force.
3 Work and energy are scalar quantity
For example :

A force F does work on a particle when it undergoes a displacement in the direction of the force The displacement is dr = r’ –

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