Atwood's Machine and incline plane combined.

AI Thread Summary
The discussion revolves around solving a physics problem involving two crates connected by a string over a frictionless pulley, with one crate on an incline. The masses of the crates are 10.0 kg and 4.00 kg, with the incline at a 40.0° angle. To find the acceleration of the 4.00 kg crate and the tension in the string, participants are encouraged to follow the teacher's hint by constructing equations for each object and recognizing that they share the same acceleration and tension. A free body diagram is recommended to visualize the forces acting on both crates. The conversation emphasizes the need to show work for effective assistance in solving the problem.
unicornrose
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So here is the problem with the two parts and then the teacher's clue... I would be majorly appreciative if you could help me out.

Two packing crates of masses m1 = 10.0 kg and m2 = 4.00 kg are connected by a light string that passes over a frictionless pulley as in Figure P4.26. The 4.00 kg crate lies on a smooth incline of angle 40.0°. Find the acceleration of the 4.00 kg crate.

Part B is:
Find the tension in the string.

The clue that the teacher gave us is:
#4 (Pulley and incline) A combination of the Atwood’s machine and an incline plane.
Construct the equation for each object and solve for ’a’ and ’T’. Both objects
share the same ’a’ and ’T’.

Thanks for your help.:cry:
 
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Well, have you followed your teacher's hint? This is homework and, as such, we require that you show your work before we can help you.
 
The forces involves are T1, T2 and the components of mg. T1 is tension of the rope connecting the m1 and the 4kg crate, and T2 is the tension of the rope between m1 and m2.

Draw the free body diagram of m1, m2 and the 4kg crate. Make three equation and solve for a , T1 and T2.
 
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