A rubber eraser is placed r = 10.0cm from the axis of a rotating turntable with variable speed. When the speed of the turntable is slowly increased (so slowly that the tangential acceleration is negligible and the motion may be considered uniform circular motion at any given instant), the coin remains fixed on the turntable until a rate of f = 45.0rpm (revolutions per minute) is reached, at which point the coin slides off. Calculate the coefficient of static friction μs between the coin and the turntable by... (a) select appropriate common equations and make appropriate substitutions that are specific to the problem, and algebraically manipulate the equations to end with an algebraic expression for the variables the problem is asking you to solve for. (b) Show the numeric substitution of given quantities and show the final numeric result. (c) Draw a free body diagram for the eraser at the instant the turntable reaches its maximum rate of rotation.

A rubber eraser is placed  r = 10.0cm  from the axis of a rotating turntable with variable speed.  When the speed of the turntable is slowly increased (so slowly that the tangential acceleration is negligible and the motion may be considered uniform circular motion at any given instant), the coin remains fixed on the turntable until a rate of  f = 45.0rpm  (revolutions per minute) is reached, at which point the coin slides off.   Calculate the coefficient of static friction  μ_s  between the coin and the turntable by...

(a) select appropriate common equations and make appropriate substitutions that are specific to the problem, and algebraically manipulate the equations to end with an algebraic expression for the variables the problem is asking you to solve for.

(b) Show the numeric substitution of given quantities and show the final numeric result.

(c) Draw a free body diagram for the eraser at the instant the turntable reaches its maximum rate of rotation.