An inclined plane with angle 47 degrees has a rough surface with coefficient of

Question

An inclined plane with angle 47 degrees has a rough surface with coefficient of static friction Us = .86 and kinetic friction Uk. A mass , m = 11.7 kg, sits at rest with respect to the plane and is attached by a string strung over a pulley to a hanging mass, M, such that the mass, m , remains stationary on the inclined plane.
The string is suddenly cut and the mass m begins to slide down the plane with an acceleration , a = 3.84 m/s^2. what is the value of coefficient of kinetic friction, Uk?
(g = 9.8 m/s^2)

Explanation / Answer

Well, first you need the Force Friction. This can be found by finding out the gravitational force parallel to the plane (mgsin47) and subtracting what the actual force was (ma). Then, divide by (mgcos47) and there's your answer.

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