The following bodies are made to roll up (without slipping) the same inclined plane…
PHYSICS · Single correct · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion
Problem
The following bodies are made to roll up (without slipping) the same inclined plane from a horizontal plane: (i) a ring of radius R, (ii) a solid cylinder of radius 2R and (iii) a solid sphere of radius 4R. If, in each case, the speed of the center of mass at the bottom of the incline is same, the ratio of the maximum heights they climb is:
(1) 4 : 3 : 2
(2) 10 : 15 : 7
(3) 14 : 15 : 20
(4) 2 : 3 : 4