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Q.

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

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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/s2 forward.

d

The angular acceleration of the cylinder is 10 rad s-2.

answer is C.

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Detailed Solution

a=f1−f2m1+m2=0.4×6g−0.5×3g6+3⇒a=1 ms−2α=τapplied −τfriction I=6−f1R126(R)2=6−0.4×6×10×(0.2)12×6×(0.2)2=10 rads−2
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A clockwise torque of 6 N-m is applied to the circular cylinder as shown in the figure. There is no friction between the cylinder and the block.