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Q.

An ideal string is wrapped several times on a solid cylinder of mass 4 kg and radius 1 m. The pulleys are ideal and the surface between block and ground is smooth. Cylinder rolls without slipping on the block. If the torque acting on the cylinder is 10x9 N-m, then find the value of x.

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answer is 8.

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Detailed Solution

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40−T−f=8a1

f−T2=4a2

(f+T2)R=4R22α

a2+Rα=a1

Rα−a2=2a1

α=409

τ=4(1)α2=809

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