A solid uniform disc rotates with angular speed

PHYSICS · Single correct · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

A solid uniform disc (I=12MR2)(I=\tfrac{1}{2}MR^{2}) rotates with angular speed ωd\omega_{d}. A thin hoop of the same mass and radius (I=MR2)(I=MR^{2}) rotates with angular speed ωh\omega_{h}. What is the minimum value of the ratio ωhωd\dfrac{\omega_{h}}{\omega_{d}} required for the hoop’s rotational kinetic energy to exceed that of the disc? (a) 0.500.50 (b) 1.411.41 (c) 0.710.71 (d) 1.001.00

Related theory

Browse the problem library