Solving for Mass M1 in Physics Problem Involving Pulley

AI Thread Summary
To solve for mass M1 in the pulley problem, start by analyzing the forces acting on both masses M1 and M2. For M2, the downward acceleration and gravitational force must be balanced against tension and friction, while M1's forces will include tension and friction acting against gravity. Establish equations for the net force in both the x and y directions for each mass. By relating these equations, you can isolate and solve for M1. Understanding the relationship between the forces and the acceleration is crucial for finding the correct mass.
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Homework Statement


M1 and M2 are two masses connected as shown. The pulley is light and frictionless. Find the mass M1, given that M2 (7.00kg) accelerates downwards at 2.43m/s2, that the angle theta is 15.0o, and that muk is 0.560.

prob75_fricpullplane.gif


Homework Equations



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The Attempt at a Solution



I was sick the day we went over this and the notes I got do not tell me very much. That is why I have no attempts at this problem. Basically what I need is some guidance on where to start and how to find the equation needed for this problem. I am lost with where to start.

Thank you all for your help,
John
 
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What is the sum of the forces in the y direction for M2? What are the sums (in x and y) for M1? Can you relate those equations together?
 
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