Direction (Q. Nos. 21) 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 can perform pure rolling motion for some time
B) ball can perform impure rolling motion for some time
C) friction will aid the rotational motion
D) All of the above
Correct Answer: D
Solution :
If incline is rough, then as the ball comes on incline the friction force comes into existence and the ball starts the rolling motion, thus we can say that friction aids the rotational motion component of rolling motion. And depending on the value of coefficient of friction, the ball can perform pure rolling or impure rolling motion. Initially the ball performs impure rolling motion for some time and later on the ball can perform pure rolling motion if friction is enough to prevent slipping.
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