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Mass sliding at an angle

  1. Oct 6, 2016 #1
    1. The problem statement, all variables and given/known data
    M1 and M2 are two masses connected as shown.
    https://loncapa2.physics.sc.edu/res/msu/physicslib/msuphysicslib/09_Force_and_Motion/graphics/prob75_fricpullplane.gif
    upload_2016-10-6_16-47-34.png
    The pulley is light and frictionless. Find the mass M1, given that M2 (3.50 kg) is moving downwards and accelerates downwards at 2.99 m/s2, that θ is 20.0°, and that μk is 0.470.

    2. Relevant equations
    F = ma

    3. The attempt at a solution
    So I have broken down the components of the forces especially for M1 because the Mg force has the components sin and cos. I found the force in the y direction of M1 to be Fn=M1gSin(theta). Then I found the x direction to be T(tension)-u(friction)Fn-M1gCos(theta)=M1a. Which would make T= M1(ugSin(theta) + gCos(theta) +a). And for block 2 I have T = M2(g-a). Then I set the T's equal to each other and solve for M1 but it seems to be wrong.
     
  2. jcsd
  3. Oct 6, 2016 #2

    gneill

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    Staff: Mentor

    Your image isn't showing. No doubt an offsite link to some place that not publicly accessible. Try uploading it instead (use the UPLOAD button at the bottom right of the edit window).
     
  4. Oct 6, 2016 #3
    Ok I think I got it
     

    Attached Files:

  5. Oct 6, 2016 #4

    PeroK

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    Science Advisor
    Homework Helper
    Gold Member

    Are you sure you haven't got ##\cos## and ##\sin## mixed up?
     
  6. Oct 6, 2016 #5
    I did.... Thank you so much!
     
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