Tension questions, creating formula's

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SUMMARY

The discussion focuses on solving a physics problem involving two blocks connected by a massless string over pulleys. Specifically, it addresses calculating the tension (T) in the string in terms of the horizontal acceleration (a2) of block m2, and subsequently deriving the vertical acceleration (a1) of block m1. The solution requires applying Newton's second law (F = ma) and rearranging equations to express T and a1 in terms of the given variables. The participants emphasize the importance of diagramming the system to visualize forces and accelerations.

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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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