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 0.20 kg, the coefficient of static friction between the cylinder and the turntable is 0.080, and the cylinder is located 0.15 m from the center of the turntable.Take the magnitude of the acceleration due to gravity to be 9.81m/s2

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Explanation / Answer

here,

mass of the cyclinder , mc = 0.2 kg

coefficient of static friction , us = 0.08

distance of the cyclinder , r = 0.15 m

let the maximum speed be vmax

for cyclinder to not to slip

mc*vmax^2 /r = u*mc*g

vmax^2 /0.15 = 0.08 * 9.81

vmax = 0.34 m/s

the maximum speed of the cyclinder is 0.34 m/s

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