What Range of Values of m2 Will the Blocks Remain at Rest?

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The discussion focuses on determining the range of values for mass m2 that allows two connected blocks to remain at rest when released from a stationary position. The scenario involves mass m1 on an inclined plane at a specific angle, connected to m2 via a frictionless pulley. The coefficients of static and kinetic friction are considered in the calculations. The key objective is to apply Newton's First Law to establish the maximum mass m2 that will prevent movement. The analysis aims to find the conditions under which both blocks remain stationary.
Pearce_09
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Ok the question is
Mass m1 is on an inclined surface at angle @ and is connected to a second hanging block with mass m2 by a cord passing over a small, frictionless pulley. the oeficient of static friction is u and the coefficient of kinetic friction is uk.
I first had to find m2 when m1 is moving up the ramp
and then i had to fine m2 when m1 is moving down the ramp. I can do those
im just haveing problems with

for what rage of values of m2 will the blocks remain at rest if they are released from rest?
 
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Work it out with Newton 1st Law to find the max mass to stay at rest.
 

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