Q1. Derive an expression for Kinetic energy of rotating body with uniform angular velocity
Q2.Obtain an expression for torque acting on a rotating body with constant angular acceleration
Q3. Deduce an expression for kinetic energy when a body is rolling on a plane surface without slipping
Q4. Define angular momentum of a body obtain an expression for angular momentum of a rigid body rotating with uniform angular velocity. State its SI unit and dimensions
Q5. State and prove principle of conservation of angular momentum. Explain it with examples
Q6. What will be the duration of the day if the earth suddenly springs to 1/27th of its original volume; mass being same.
Q7. A wheel of moment of inertia 1 kg metre square is rotating at a speed of 30 Radian per second. Due to friction on the axis, it comes to rest in 10 minutes. Calculate
i total work done by the friction
ii the average torque of the friction
iii angular momentum of the wheel 2 minutes before it stops rotating