Physics System of Particles Rotational Motion All Topic Question for Revision Test MCQ (Single Correct)

A solid sphere of mass rolls without slipping on an inclined plane of inclination . What should be the minimum coefficient of friction, so that the sphere rolls down without slipping?

A
B

C
D

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Text Solution

Verified by Experts
The correct answer is:
B

This is the case of rolling on rough inclined plane. Force of friction in this case will be

backward.

Hence, … (i)

and … (ii)

For pure rolling to take place, … (iii)
Solving Eqs. (i), (ii) and (iii), we get

Further, the force of friction calculated in Eq. (iv) for pure rolling to take place should be less than or equal to the maximum friction,

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