Question

A 25.0-g metal cylinder is placed on a turntable, with its center 70 cm from the turntable's center. The coefficient of static friction between the cylinder and the turntable's surface is μs = 0.71. A thin, massless string of length 70 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 80 rpm