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. The horizontal velocity v 0 is imparted to the particle normal to the thread, then during subsequent motion which of the following statements is true?

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. The horizontal velocity v 0 is imparted to the particle normal to the thread, then during subsequent motion which of the following statements is true?, angular momentum of particle about O remains constant, angular momentum about B remains constant, momentum and kinetic energy both remain constant, kinetic energy alone remains constant

MARKS App · Accepted Answer

From the diagram, we can see that net torque about O and B is not zero. Therefore angular momentum changes about these points. As the tension is always perpendicular to velocity therefore work done is zero and speed remains constant and hence the kinetic energy. But the direction of velocity changes continuously and hence momentum changes.

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