# Rotational Mechanics

**Q.** A uniform disk rotating with constant angular acceleration covers 50 revolutions in the first five seconds after the start. Calculate the angular acceleration and the angular velocity at the end of five seconds.

**Solution**

**Q.** Calculate the moment of inertia of a uniform square plate of mass M and side L about one of its

diagonals, with the help of its moment of inertia about its centre of mass.

**Solution**

**Q.** A body rotating with 20 rad/s is acted upon by a uniform torque providing it an angular deceleration of 2 rad/s2. At which time will the body have kinetic energy same as the initial value if the torque acts continuously ?

**Solution**