Tension in rope between blocks on an incline

AI Thread Summary
Two blocks of different materials slide down an inclined plane, with block B above block A, and different coefficients of friction. The first step involves calculating the acceleration, which was successfully determined. The main challenge was finding the tension in the rope connecting the blocks, which requires understanding the forces acting on each block. By drawing a free body diagram and applying Newton's second law, the correct expression for tension can be derived. Ultimately, the discussion highlights the importance of visualizing forces and using proper equations to solve for tension in such systems.
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1. Two blocks made of different materials connected together by a thin rope, slide down a plane ramp inclined at an angle θ to the horizontal (block B is above block A). The masses of the blocks are mA and mB, and the coefficients of friction are μA and μB. If μA < μB, find the tension in terms of mA, mB, and θ



2. The first part of the question is to find the accelearation, a, which I've done and got the correct answer. Finding the tension is the second part of the question, which I've no idea at all how to do. Also, I'm not sure I really understand what tension is.



3. I've tried T=Fa-Fb ,but I didn't get the answer.
 
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Did you draw a free body diagram? There are three forces acting on each block, two of which you know (if you got the acceleration right). You know that the sum of the forces in the direction of motion is equal to m*a. You have a component of the weight force in the direction of motion, you have the friction force, and you have the unknown tension. The mass should cancel out.
 
Thank you, I've got the right answer now.
 
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