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Pytels Dynamics 12.35: A cart carrying a small package

  1. Jul 26, 2017 #1
    1. The problem statement, all variables and given/known data
    The cart carrying the small 9-N package A is moving up the incline with constant acceleration α. If the package stays at rest relative to the cart in the position θ=45deg, determine the value of α. Neglect friction.

    2. Relevant equations


    3. The attempt at a solution
    Pytel_Dynamics12_35.jpg

    Are my equations correct?

    Also how do I continue finding α? Does the ##θ=\frac {s} {r}## comes into play?
     
  2. jcsd
  3. Jul 26, 2017 #2

    haruspex

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    Hard to tell if you do not define your variables.
    What forces act on the mass? (I assume you are to ignore friction.) What are the magnitudes and directions of those forces? What is the magnitude and direction of the resultant force?
     
  4. Jul 28, 2017 #3
    Here is a body diagram.

    Pytel_Dynamics12_35b.jpg

    and here is my solution:

    Pytel_Dynamics12_35c.jpg

    Can you check this and tell me if it is correct
     
  5. Jul 28, 2017 #4

    haruspex

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    I didn't check the precision of the numbers, but it looks right.
     
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