# How is torque shared?

1. May 15, 2015

### Curious3

Hey there, I'm trying to figure out how torque operates in combination and I can't find anything relating to this in any textbooks or online.

So if you a mass held by two strings in equilibrium, the force of gravity is split evenly between them right?
What happens if you have torque instead of a linear force?

A common example I have seen when looking around is that if you have three masses at known distances on a see-saw in equilibrium and you know two of the masses you can solve for the third.
But now what happens if you have a system in equilibrium where you apply a torque on one side of the see saw which is opposed by two forces at different distances on the other?

I came up with a concrete example in the figure below so it is more clear.

Are the forces equal or are the torques equal? Or perhaps neither?

2. May 15, 2015

### Staff: Mentor

For an object to be in static equilibrium both the forces and the torques must sum to 0.

3. May 15, 2015

### Curious3

Right this is what I've been using to try to figure it out but I get stuck with something like x+y=T where x and y are unknown.

4. May 16, 2015

### Staff: Mentor

Yes, it is possible to have a system where you have too many unknown forces to solve. Such a system is known as "statically indeterminate".

In order to solve such a system you have to include the material properties of the beam and calculate the amount of stress and strain. This adds additional equations and gives you a system you can solve.

5. May 16, 2015

### Curious3

Awesome, thank you so much!