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Finding acceleration of truck from a hung mass on the ceiling of it.

  1. Oct 7, 2012 #1
    1. The problem statement, all variables and given/known data

    A mass M = 74.0 kg is suspended by a massless string from the ceiling of a van which is moving with constant acceleration a, as shown in the figure.
    1262751-1315-setDynamics_no_friction-prob5--prob24a.gif

    If the string makes an angle theta = 22° with respect to the vertical, what is the acceleration a of the van?

    2. Relevant equations

    All I can think of is F=ma

    3. The attempt at a solution

    I found the force of the x component and the y component (-27.72N and 793.8N resp.) I tried 27.72=74.0a=.375m/s^2 and 793.8=74a=10.727m/s^2. I tried adding/substracting tthe answers. I don't know what to try anymore.
     
  2. jcsd
  3. Oct 7, 2012 #2
    tan-1(a/g)=22°

    Look it like a triangle. the angle is 22 theta, the vertical component is g, the horizontal is a.
     
  4. Oct 7, 2012 #3
    Thank-you so much!
     
  5. Oct 7, 2012 #4
    No-Problem! XD
     
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