Tension and Acceleration in a Pulley System

AI Thread Summary
The discussion revolves around a physics problem involving two crates connected by a string over a frictionless pulley, where one crate is on an incline. The key challenge is to determine the acceleration of the 5.00 kg crate and the tension in the string. Participants emphasize understanding the forces acting on the crate on the incline, including tension and gravitational force. The importance of writing force equations to solve for acceleration and tension is highlighted, with a reminder that tension acts away from the body. The conversation encourages further exploration of the problem to reach a solution.
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Homework Statement



Two packing crates of masses m1 = 10.0 kg and m2 = 5.00 kg are connected by a light string that passes over a frictionless pulley . The 5.00 kg crate lies on a smooth incline of angle 40.0°. Find the acceleration of the 5.00 kg crate and the tension in the string.


Homework Equations



i know there is only 1 tension becuase they area attached by a frictionless string, i just don't know where to go from there

The Attempt at a Solution



 
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What are the forces acting on the 5 kg block on the incline?
 
i told of everything the question gave me for info
 
Like, what forces act on the crate placed on the smooth incline?
Write the force equations and calculate.
 
thats where i am stuck...I'm kinda new to this tension stuff
 
Ok, you must have read that tension always acts away from the body. The weight of the body will also have an effect on its motion, in this case. Keeping these points in mind, work out the possibilities and inform us of the developments.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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