Tension questions, creating formula's

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In summary, the conversation discusses a system consisting of two blocks connected by a massless, ideal string that wraps around two pulleys. The system is frictionless and anchored to a wall. The questions ask for solving for the tension in the string, the vertical and horizontal accelerations of the blocks, and expressing the tension and accelerations in terms of the given variables. A diagram is suggested to aid in solving the equations.
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Wommbatt
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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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  • #2
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!
 

1. What is tension?

Tension is a force that is created when an object is pulled or stretched. It is a measure of the pulling force exerted on an object.

2. How is tension calculated?

Tension can be calculated using the formula T = F * L, where T is tension, F is the applied force, and L is the length of the object.

3. What are the units of tension?

The units of tension are typically measured in newtons (N) or pounds (lbs), depending on the unit system being used.

4. How does tension affect an object?

Tension can have various effects on an object, depending on its material properties and the amount of tension being applied. In some cases, tension can cause an object to stretch or deform, while in other cases it can cause the object to break or fail.

5. How can tension be used in scientific experiments?

Tension is commonly used in experiments that involve measuring the strength or durability of materials. It can also be used to study the effects of forces on different objects and their structural integrity.

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