A small metal cylinder rests on a circular turntable that is rotating at a const

Question

A small metal cylinder rests on a circular turntable that is rotating at a constant speed as illustrated in the diagram (Figure 1) . The small metal cylinder has a mass of 0.20kg , the coefficient of static friction between the cylinder and the turntable is 0.080, and the cylinder is located 0.15m from the center of the turntable. Take the magnitude of the acceleration due to gravity to be 9.81m/s^2 .

What is the maximum speed Vmax that the cylinder can move along its circular path without slipping off the turntable?

Explanation / Answer

maximum speed occurs when centripetal force equal to frictional force .

Fc =Ff

mv2/r =mg

Vmax =(gr)

Vmax =(0.08*9.81*0.15)

Vmax =0.343m/s

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