A thin hoop (ring) and a solid disk each have identical mass and radius
PHYSICS · Single correct · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion
Problem
A thin hoop (ring) and a solid disk each have identical mass M and radius R. Both spin about their central axes with the same angular speed ω. Which of the following statements is true?
(a) The disk has greater rotational kinetic energy because its smaller moment of inertia allows more energy at the same angular speed.
(b) The hoop and the disk have equal rotational kinetic energy because they have the same mass and angular speed.
(c) The hoop has greater rotational kinetic energy because its moment of inertia is larger than that of the disk.
(d) The disk has greater rotational kinetic energy because its mass is more evenly distributed.