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Q.

A solid cylinder of mass m = 4 kg is kept in balance on a fixed incline of angle θ=37∘ with the help of a thread fastened to its jacket. The cylinder does not slip. What force F is required to keep the cylinder in balance when the thread is held vertically? (Use g = 10 m/s2)

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answer is 15.0.

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Detailed Solution

For rotational equilibrium of the cylinder.Torque about P:F(R+Rsin⁡θ)=mgRsin⁡θF1+35=mg×35⇒F=3mg8=3×4×108=15N
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