What Range of Hanging Mass Keeps the Block Stationary on an Incline?

[mty28]

Homework Statement

A block of mass M = 107.0 kg on an inclined plane is attached to another block of mass m via a string, as in the figure below. The coefficients of static and kinetic friction for the block and the incline are μs = 0.40 and μk = 0.20 and the plane is inclined 17.6° with horizontal. (a)Determine the range of values for m, the mass of the hanging block, for which the block will not move unless disturbed, but if nudged, will slide down the incline.
(b) Determine a range of values for m for which the block will not move unless nudged, but if nudged will slide up the incline.

Homework Equations

The Attempt at a Solution

 

[tiny-tim]

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