1.Define Center of Mass of a system of particles.
2.State the law of conservation of angular momentum.
3.What is the radius of gyration? Write its formula.
4.State the parallel axes theorem for moment of inertia.
5.Two particles of mass $2 \text{ kg}$ and $3 \text{ kg}$ are located at $(1,2)$ and $(4,5)$. Find position of Center of Mass.
6.Find the moment of inertia of a uniform ring of mass $M$ and radius $R$ about its diameter.
7.A wheel rotates with angular acceleration $\alpha = 3 \text{ rad/s}^2$ from rest. Find angular speed after $4 \text{ s}$.
8.A solid sphere of mass $M$ and radius $R$ rolls without slipping down an inclined plane of height $h$. Find velocity at bottom.
