Tension questions, creating formula's

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The discussion focuses on a physics problem involving two blocks connected by a string over pulleys, requiring the calculation of tension and accelerations in a frictionless system. Participants emphasize the importance of using free body diagrams to visualize forces and suggest starting with Newton's second law (F = ma) to derive equations for tension and acceleration. The conversation highlights the need to express tension in terms of the given masses and accelerations, and to systematically solve for each variable step-by-step. A suggestion is made to utilize diagramming tools to aid in understanding the problem. Overall, the thread encourages a methodical approach to solving the equations involved.
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Homework Statement


A block of mass is attached to a massless, ideal string. This string wraps around a massless pulley and then wraps around a second pulley that is attached to a block of mass that is free to slide on a frictionless table. The string is firmly anchored to a wall and the whole system is frictionless.

Assuming that a2 is the magnitude of the horizontal acceleration of the block of mass m2 , what is ,T the tension in the string?

Express the tension in terms of m2 and a2

Part B
Given T, the tension in the string, calculate a1, the magnitude of the vertical acceleration of the block of mass m1

Express the acceleration magnitude a1 in terms of m1,g , and T.

Part C
Given the magnitude a1 of the acceleration of the block of mass m1 , find a2, the magnitude of the horizontal acceleration of the block of mass m2.

Part D
Using the result of Part C in the formula for T that you previously obtained in Part A, express T as a function of a1

Part E
Having solved the previous parts, you have all the pieces needed to calculate a1, the magnitude of the acceleration of the block of mass m1. Write an expression for a1.

All these are just equations that have to be rewritten. I have no clue how rearrange these so that's why I didn't try cause I had no clue. Please help.
 
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We aren't supposed to help until you show your attempt. Since you are stuck at the beginning, I suggest you draw and label a diagram (Windows paint or similar program works well; you can upload to a free service like photobucket.com and then post an IMG link here). Use F = ma on that horizontal mass to get started on the first question. Good luck!
 
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