A 15.0-g metal cylinder is placed on a turntable, with its center 74 cm from the

Question

A 15.0-g metal cylinder is placed on a turntable, with its center 74 cm from the turntable's center. The coefficient of static friction between the cylinder and the turntable's surface is ?s = 0.74. A thin, massless string of length 74 cm connects the center of the turntable to the cylinder, and initially, the string has zero tension in it. Starting from rest, the turntable very slowly attains higher and higher angular velocities, but the turntable and the cylinder can be considered to have uniform circular motion at any instant. Calculate the tension in the string when the angular velocity of the turntable is 55 rpm (rotations per minute).

Explanation / Answer

T=ms*m*w^2r =0.74*0.015*(55*60)^2*0.74 =89.45 KN

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