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

AI Thread Summary
The discussion focuses on determining the mass range of a hanging block that keeps a stationary block on an inclined plane. Given the mass of the block on the incline (M = 107.0 kg), the coefficients of static and kinetic friction (μs = 0.40, μk = 0.20), and the incline angle (17.6°), participants are tasked with calculating two scenarios. The first scenario requires finding the mass range for which the block remains stationary unless disturbed, while the second scenario seeks the mass range that allows the block to slide up the incline when nudged. The conversation emphasizes the importance of applying relevant physics equations to solve these problems. Engaging with the community can help clarify the approach to these calculations.
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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

 
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