Motion of System of Particles and Rigid Body Test - 3

A sphere is rolling on an inclined plane. What is the ratio of its rotational KE to the total KE?

A disc of mass 2 kg and radius 0.2 m is rotating with an angular velocity of 30 rad/s. What is the angular velocity if a mass of 0.25 kg is put on the periphery of the disc?

The moment of inertia of a body does not depend upon

The ratio of the radius of gyration of a circular disc about a tangential axis in the plane of the disc and that of a circular ring of the same radius about a tangential axis in the plane of the ring is

Identify the correct statement(s) about the centre of mass.

An electric motor exerts a constant torque of 10 N^-m on a grind stone mounted on a shaft. Moment of inertia of the grind stone about the shaft is 2 kg m². If the system starts from rest, find the work done in 8 s.

The distance between the centres of carbon and oxygen atoms in carbon monoxide molecule is 1.130 x 10^-10 m. Locate the centre of mass of the molecule relative to the carbon atom.

The following question contains statement-1 (Assertion) and statement-2 (Reason) followed by 4 choices (1), (2), (3) and (4), out of which ONLY ONE is correct.

Statement-1: If there is no external torque on a body about its centre of mass, the velocity of the centre of mass remains constant.

Statement-2: The linear momentum of an isolated system remains constant.

A hollow cylinder and a solid cylinder having the same mass and the same diameter are released from rest simultaneously from the top of an inclined plane. Which will reach the bottom first?