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A uniform cylinder of radius R(= 3m) is spin about its axis at an angular velocity ω0(=40πrad/sec)and placed between two perpendicular wall. The coefficient of friction between the walls and cylinder is μ(=2) Then, 25 K turns will the cylinder make before it stops. Find the value of K.

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answer is 4.

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Detailed Solution

μN1+N2=mgN1=μN2 (I) N2=mg1+μ2 (II) N1=μmg1+μ2 Torque about centre of mass τ=μN1R+μN2R=12mR2α ⇒α=2μN1+N2mR.........iiiAlso 0=ω02-2πnα............ivSolving n = 4

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A uniform cylinder of radius R(= 3m) is spin about its axis at an angular velocity ω0(=40πrad/sec)and placed between two perpendicular wall. The coefficient of friction between the walls and cylinder is μ(=2) Then, 25 K turns will the cylinder make before it stops. Find the value of K.