Find the tension in the cable linking the two carts.

[ryty]

Homework Statement

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.

Homework 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 don't think this is right

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

 

[Doc Al]

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.

 

[ryty]

but I am not sure if its moving, and i don't know how to find out if it is

 

[Doc Al]

but I am not sure if its moving, and i don't 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'.