1.Find the center of mass of three particles of masses $1\text{ kg}, 2\text{ kg}, 3\text{ kg}$ placed at vertices of an equilateral triangle of side $1\text{ m}$.
2.State Parallel and Perpendicular Axes Theorems of moment of inertia.
3.State Law of Conservation of Angular Momentum with two daily-life examples.
4.A flywheel of moment of inertia $2\text{ kg}\cdot\text{m}^2$ rotates at $300\text{ rpm}$. Find its rotational kinetic energy.
