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The axis of the uniform cylinder in figu...

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 right without friction and with speed `v_(1)`. It passes over the cylinder to the dashed position. Whe it first makes contact with the cylinder, it slips on the cylinder, but the friction is large enough so that slipping ceases before M loses contact with the cylinder. The cylinder has a radius R and a rotational inertia I.

If w is final angular velocity of the cylinder, then

A

`v_(1)=omegaR`

B

`v_(2)=omegaR`

C

`v_(1)lt omegaR`

D

none

Text Solution

Verified by Experts

The correct Answer is:
A
As slipping ceases before M loses contact with cylinder `v_(2)=omegaR`
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