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Find the tension in the cable linking the two carts.

  1. Dec 16, 2009 #1
    1. The problem statement, all variables and given/known data
    Two 1kg carts and a 500g weight are linked with cables. One of the carts sits on a 15°
    ramp, while the other is on a horizontal surface. See diagram. Find the tension in the
    cable linking the two carts.
    i attached the picture.
    2. Relevant equations
    im not sure, but i think its T-mg=ma
    but since there are two carts on top, and one is on a ramp, i dont think this is right

    3. The attempt at a solution
    F(weight 3)=.5 kg*9.8 m/s^2= 4.9 N
    F(weight 2)=1 kg*9.8m/s^2*sin(15)=2.54 N
    F(weight 1)=1kg*9.8m/s^2=9.8 N
    im not sure what to do next
     

    Attached Files:

  2. jcsd
  3. Dec 16, 2009 #2

    Doc Al

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    Staff: Mentor

    Re: Tension

    Analyze the forces acting on each object (especially along the direction of their motion) and apply Newton's 2nd law. You'll get three equations, which you can solve together to find your answer. Hint: Label the cable tensions T1 and T2.
     
  4. Dec 16, 2009 #3
    Re: Tension

    but im not sure if its moving, and i dont know how to find out if it is
     
  5. Dec 16, 2009 #4

    Doc Al

    User Avatar

    Staff: Mentor

    Re: Tension

    The equations will tell you. Just assume that it accelerates up the ramp as the hanging mass falls. Set up the equations accordingly, then solve them.

    Hint: Call the magnitude of the acceleration 'a'.
     
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