Find the tension in the cable linking the two carts.

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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
 

Attachments

Doc Al

Mentor
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966
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.
 
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Re: Tension

but im not sure if its moving, and i dont know how to find out if it is
 

Doc Al

Mentor
44,642
966
Re: Tension

but im not sure if its moving, and i dont know how to find out if it is
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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