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A clockwise torque of 6N-m is applied to...

A clockwise torque of `6N-m` is applied to the circular cylinder as shown in the figure. There is no friction between the cylinder and the block.

A

The cylinder will be slipping but the system does not move forward

B

The system cannot move forward for any torque applied to the cylinder

C

The acceleration of the system will be `1m//s^(2)` forward

D

The angular acceleration of the cylinder is `10 rad s^(-2)`

Text Solution

Verified by Experts

The correct Answer is:
C, D
`a=(f_(1)-f_(2))/(m_(1)+m_(2))=(0.4xx6g-0.5x3g)/(6+3)`

`implies a=1ms^(-2)`
`alpha=(tau_("applied")-tau_("friction"))/I=(6-f_(1)R)/(1/26(R)^(2))`
`=(6-0.4x6g(.2))/(1/2xx6xx(0.2)^(2))=10rads^(-2)`
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