A sphere can roll on a surface inclined at an angle `theta`, if the friction coefficient `mu gt (2//7)g sin theta`. Now suppose the friction coefficient is `(1//7)g sin theta` and the sphere is released from rest on the incline, then

Options

A. it will stay at rest
B. it will make pure translational motion
C. it will translate and rotate about the centre
D. the angular momentum of he sphere about its centre will remains constant

Answer

C

Explanation

`mu lt mu_(min)"but" mu ne0`. Therefore, sphere will roll with forward slipping.