Prove that the rate of change of angular momentum of a particle with time is equal to the effective torque on it, $\text { i.e. } \quad \vec{\tau}=\frac{d \vec{J}}{d t}$
Write the definition of angular momentum. Obtain the formula for the angular momentum of a rigid body rotating about a fixed axis. What is the unit of angular momentum?
Define angular acceleration. Prove that the linear motion of a particle moving in a circular path of fixed radius. The following relationship exists between acceleration $\vec{a}$, angular acceleration $\vec{\alpha}$ and radius vector $\overrightarrow{ R. }$ $\vec{a}=\vec{\alpha} \times \overrightarrow{ R } $.