What is the correct acceleration for the inclined pulley problem?

AI Thread Summary
The discussion centers on solving an inclined pulley problem involving two masses, m1 (47 kg) on an incline and m2 (35 kg) suspended. It is established that the masses will not move when released due to static friction. To initiate movement, an additional mass of 2.8 kg must be added to m2. The calculated acceleration after adding this mass is incorrectly derived, with the expected value being 5.7 m/s², prompting confusion about the solution process. Participants suggest starting with free body diagrams to clarify the forces at play and identify potential errors in calculations.
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Homework Statement

m1 has a mass of 47 kg and m2 has a mass of 35 kg. the coefficient of friction between m1 and the surface of the inclined plane are us=.42 and uk=.19 m1 is on an inclined plane angled 25 degrees

A) if the masses are held in place and then released, will they start to move?
B) what mass would you have to add to m2 to cause the masses to begin to move?
C) what would be the acceleration of the masses after adding the additional mass?

Homework Equations


For a- I know the answer is no
For b- made fnet equal to 0 and solved for m2. (37.8) subtracted 37.8 from 35 to get 2.8kg of additional mass

The Attempt at a Solution


For c- I used fnet=ma fnet= -Ff-fparallel+m2g/m1+m2
However I didn't get the right answer which is supposed to be 5.7 m/s2 ..
What am I doing wrong??
 
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It's not clear what is going on. How are two masses connected ( if they are ), and where is m2 ?
 
M2 is suspended in the air m1 is on an incline, connected together by a pulley
 
Could be a typo in the question. Suppose for a moment that all surfaces were without friction. What would the acceleration be then? Is your expected "right answer" achievable?
 
I have no idea how they got tht answer.. How would you go about solving that?
 
Start with the free body diagrams, of course.
 
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