The axis of the uniform cylinder in figure is fixed. The cylinder is initially at rest. The block of mass M is initially moving to the friction and with speed `v_(1)`. It passes over the cylinder to the dashed position. When it first makes contact with the cylinder, it slips on the cylinder, but the friciton is large enough so that slipping ceases before M loses contacts wtih the cylinder. the cylinder has a radius R and a rotaitonal intertia I

If `omega` is final angular velocity of the cylinder, then

Options

A. `v_(1)=omegaR`
B. `v_(2) = omegaR`
C. `v_(1) lt omegaR`
D. none

Answer

C

Explanation

As slipping ceases before M loses contact with cylinder `v_(2)=omegaR`