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BlakeGriffin

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**Hanging Chandelier (Solved)**

## Homework Statement

A chandelier with mass m is attached to the ceiling of a large concert hall by two cables. Because the ceiling is covered with intricate architectural decorations (not indicated in the figure, which uses a humbler depiction), the workers who hung the chandelier couldn't attach the cables to the ceiling directly above the chandelier. Instead, they attached the cables to the ceiling near the walls. Cable 1 has tension T1 and makes an angle of (theta1) with the ceiling. Cable 2 has tension T2 and makes an angle of (theta2) with the ceiling.

Find an expression for T1, the tension in cable 1, that does not depend on T2 .

Express your answer in terms of some or all of the variables m, (theta1) , and (theta2) , as well as the magnitude of the acceleration due to gravity .

## Homework Equations

No equation

## The Attempt at a Solution

I figured that Net Force=0 and therefore

Net Force x = T2cos(theta2) - T1cos(theta1)=0

Net Force y = T1sin(theta1) + T2sin(theta2) - mg=0

I came up with these equations and I know that they are right. I just don't know how to eliminate T2.

Can anyone help me with this?

This is the figure : http://session.masteringphysics.com/problemAsset/1010934/37/MFS_1l_3_v1_a.jpg

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