A small button placed on a horizontal rotating platform, Physics

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A small button placed on a horizontal rotating platform

A small button placed on a horizontal rotating platform withdiameter 0.310 m will revolve with theplatform when it is brought up to a speed of 35.0 rev/min, provided the button is no more than0.128 m from the axis.

a) What is the coefficient of static friction between the button and the platform?
b) How far from the axis can the button be placed, withoutslipping, if the platform rotates at 50.0 rev/min?

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