The angular velocity of a particle of a rigid | vedclass

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(A) In a rigid body,all particles rotate about the same axis of rotation with the same angular velocity $\omega$ at any given instant. If the angular

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The particle must be undergoing non-uniform circular motion.

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(A) In a rigid body,all particles rotate about the same axis of rotation with the same angular velocity $\omega$ at any given instant. If the angular velocity $\omega$ of the rigid body is not constant,it means the body has an angular acceleration $\alpha = \frac{d\omega}{dt} 
eq 0$. Since the particle is part of a rigid body,it must be rotating about the axis. $A$ particle rotating with a changing angular velocity $\omega$ experiences both centripetal acceleration $(a_c = \omega^2 r)$ and tangential acceleration $(a_t = \alpha r)$. This combination of accelerations characterizes non-uniform circular motion.

The angular velocity of a particle of a rigid body is not constant. Which of the following statements is true?

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