Direction (Q. Nos. 20) A solid ball of mass M and radius R is sliding on a smooth horizontal surface with velocity of shown in figure solely and smoothly it comes on the inclined plane of inclination \[30{}^\circ \].  Based on the above information answer the following questions: |
A) ball will perform pure rolling motion
B) ball will perform impure rolling motion on incline
C) ball will slide down on incline
D) ball will perform pure rolling motion on incline if it was initially in pure rolling motion on the horizontal surface
Correct Answer: B
Solution :
If incline is smooth, and the ball is initially not performing any rolling motion, then it continues to be in state of pure translational motion i.e., sliding. From this we can also conclude that friction is necessary to cause the rolling motion.
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