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A cylinder of radius R is spinned and then placed on an incline having coefficient of friction μ = tanθ (θ is the angle of incline). The cylinder continues to spin without falling for time :

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a
Rω03gsin⁡θ
b
Rω02gsin⁡θ
c
Rω0gsin⁡θ
d
2Rω0gsin⁡θ

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detailed solution

Correct option is B

Frictional force = mg sinθ, so net force along the plane = 0torque τ=mgsin⁡θ×R=Iα opposing the motion. Useω=ω0+αt to find t.


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A body is placed on a horizontal frictionless surface. When a horizontal force F is applied on the body, it is observed that the body makes only translational motion. The which of the following points may be the positions of its centre of mass? 


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