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A circular turntable is oriented parallel to the ground, ie., its axis of rotation is perpendicular...

A circular turntable is oriented parallel to the ground, ie., its axis of rotation is perpendicular to the ground. A penny of mass m is placed at a distance R from the axis of rotation and starting from rest the turntable accelerates with a constant angular acceleration a. Assuming the penny doesn't slip,

1) At what time is the tangential acceleration equal to the radial acceleration?

2) What is the linear speed of the penny at this time?

3) the coefficient of static friction between the penny and the turntable is µ. At what time does the penny start to slip?

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