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.

Moderate

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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 3,4.

(Detailed Solution Below)

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Detailed Solution

a=f1−f2m1+m2=0.4×6g−0.5×3g6+3⇒a=1ms−2α=τapplied −τfriction I=6−f1R126(R)2=6−0.4×6g(0.2)12×6×(0.2)2=10rads−2
ctaimg
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