# Characteristics of a rigid body.

Why is the angular velocity and angular acceleration(if the rigid body has some) same for all points on a rigid body?

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CWatters
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What would happen if the front and back of a car had different velocity?

haruspex
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Take an angle fixed by three points A, B, C within the body. As the body rotates, the angle ABC must be preserved. So AB and BC must rotate by the same angle. Differentiating, deduce that the angular velocities and accelerations must also be the same.

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Take an angle fixed by three points A, B, C within the body. As the body rotates, the angle ABC must be preserved. So AB and BC must rotate by the same angle. Differentiating, deduce that the angular velocities and accelerations must also be the same.
But this gets that angular velocity of AB=angular velocity of BC
How does this get that angular velocity of A,B,C are equal?

SteamKing
Staff Emeritus
Homework Helper
Hint: look up the definition of 'rigid'.

CWatters