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A uniform solid sphere rolls up (witout ...

A uniform solid sphere rolls up (witout slipping) the fixed inclined plane, and then back down. Which is the correct graph of acceleration a of centre of mass of solid sphere as function of time `t` (for the duration sphere is on the incline)? Assume that the sphere rolling up has a positive velocity.

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
D
As the sphere rolls up its speed is decreasing and while rolling down its speed is increasing. Hence the acceleration of its centre of mass is down the incline and is thus always negative. Therefore the correct graph is shown in figure.
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