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
Rω03gsinθ
b
Rω02gsinθ
c
Rω0gsinθ
d
2Rω0gsinθ
answer is B.
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Detailed Solution
Frictional force = mg sinθ, so net force along the plane = 0torque τ=mgsinθ×R=Iα opposing the motion. Useω=ω0+αt to find t.