Question

A horizontal plane supports a fixed vertical cylinder of radius R and a particle is attached to the cylinder by a horizontal thread AB as shown in figure. A horizontal velocity $V_0$ is imparted to the particle, normal to the thread, during subsequent motion–

• A. Angular momentum of particle about O remains constant
• B. Angular momentum about B remains constant
• C. Momentum and kinetic energy both remain constant
• D. Kinetic energy alone remains constant

Answer 1

The correct option is D Kinetic energy alone remains constant

As direction of motion of the particle is continuously changing. So, only KE remains constant. Also, the point of contact of rope with cylinder keeps on changing, so angular momentum changes about O and B.