(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A uniform rigid rod of mass M and length L is suspended by three massless strings, as shown in the following picture:

Two of the strings are at either ends of the rod. The third string is a length x from the left end. Find the tension in these three strings.

2. Relevant equations

F=ma

Torque=I(alpha)

3. The attempt at a solution

Label the three tensions from left to right as T1, T2, and T3.

Since the net force is 0,

T1+T2+T3=Mg

Since the net torque about the left end of the rod is 0,

T2*x+T3*L=Mg*L/2

I'm stuck from here; I need another equation in order to solve for the three tensions. I can't take torque about any other point because that will just give me an equivalent equation. What do I do?

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# Seemingly Simple Statics Problem

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