JEE Main2012PhysicsRotational MotionActual
A solid sphere is rolling on a surface as shown in figure, with a translational velocity v ~m ~s ⁻¹ . If it is to climb the inclined surface continuing to roll without slipping, then minimum velocity for this to happen is
Options
- A2 g h
- B7 5 g h
- C7 2 g h
- D10 7 g h
Correct answer
D. 10 7 g h
Step-by-step solution
Minimum velocity for a body rolling without slipping v= 2 g h 1+ K^2 R^2 For solid sphere, K^2 R^2 = 2 5 v= 2 g h 1+ K^2 R^2 = 10 7 g h