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## Homework Statement

A light string has its ends tied to two walls separated by a distance equal to five-ninths the length of the string as shown in the figure. A 67 kg mass is suspended from the center of the string, applying a tension in the string. What is the tension in the two strings of length L/2 tied to the wall? The acceleration of gravity is 9.8 m/s^2 . Answer in units of N.

Here's the diagram, tell me if this link isn't working, I've never used google drive for this before

https://drive.google.com/file/d/0By72ra-d5ponYWZCYllGOW90NFE/view?usp=sharing

## Homework Equations

Torque T=rFsinΘ

## The Attempt at a Solution

So I know that the two angles must be equal, I know that the tension must be evenly distributed between the two so I know that the tension in the two lengths of string must be equal and I know the downward force on the block mg = 67*9.8 = 656.6, and the upward force on the block must equal the downward force so the string provide an upward force of 656.6

but here is where I'm stuck. I have no idea what to do next and I don't know what to do with the rope length fractions. Any help would be greatly appreciated. Thanks in advance!