Solving Dynamics Problem: Tension & Friction w/ 3 Blocks

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The discussion centers on solving a dynamics problem involving three blocks connected by a string over a frictionless pulley, with specific masses and acceleration provided. Key points include the need to analyze forces acting on the blocks, such as gravity, friction, and tension, while applying Newton's laws. Participants emphasize the importance of clearly labeling variables and maintaining consistency in direction for accurate calculations. Additional resources are suggested for further understanding of the forces involved. The conversation highlights the challenges faced by students in grasping these concepts and the necessity for detailed guidance in problem-solving.
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Hello, I'm a high school physics student and i have trouble solving this dynamics problem related to tension and stuff... here's the question

3 blocks of masses 10kg, 5kg and 3kg are connected by a light string that pass over a frictionless pulley as shown. the acceleration of the 5kg block is 2ms^-2 to the left, and the surfaces are rough. find (a) the tension in each string and (b) the coefficient of the kinetic friction between the blocks and the surfaces.

The diagram is attached to my post. I drew a rough one in paint.

Please help me guys! I've got to hand in this assignment tomorrow and i can't do this question =(.
 

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Equate the forces in the horizontal and vertical directions...

Think which force is acting in which direction, eg. the weight on the left only has a vertical component downwards...
 
Start out by labelling what you do know from the problem statement onto the diagram. You know the force of gravity on the outer two blocks, and you know the initial velocities of the blocks, right? What are the frictional forces on the two righthand blocks? Gravity, friction and string tension are the only forces acting on the blocks, right?
 
Thanks for the explanations but i still don't quite get it... Could i ask for more detailed help?
 
Just remember, you need three things. First is an understanding of Newton's laws, which help in organizing the math needed to solve the problem. Second, be ery clear with your labeling of your variables and yor axes. You can call them whatever you want and give anydirection the positive or negative choice, but once you choose, BE CONSISTENT WITH IT or your answer might turn out to be something different. And finally, take care with your trig, fractions, algebra and all that jazz.
 
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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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