Most Important Selected Qs for JEE AdvancedPhysicsRotational Motion
A uniform ball of radius R rolls without slipping between the rails such that the horizontal distance is 3 R between the two contact points of the rails of the ball. Figure (a) shows the front view of the ball and figure (b) shows the side view of the ball. v _ CM is the velocity of centre of mass of the ball and is the angular velocity of the ball after rolling down a distance 2h along the incline then
Options
- AV _ CM = R
- BV _ CM = R 2
- CV _ CM = 10 gh 13
- DV _ CM = 10 gh 7
Correct answer
C. V _ CM = 10 gh 13
Step-by-step solution
v_ C M = R^2- 3 R^2 4 = R 2 (from pure rolling) mgh = 1 2 mv _ cm ^2+ 1 2 2 5 mR ^2 ^2 (from conservation of energy) v_ C M = 10 gh 13