What Forces Act on a Rod Stabilized by Three Fulcrum Points?

[phymind]

Homework Statement

There is a homogeneous rod stabilized on three fulcrum points. The separation of the fulcrums are of different distances. What forces act in the individual fulcrum points, if the mass of the rod is m? [The rod has to be stable, and hence the net force, torque = zero]

Homework Equations

no

The Attempt at a Solution

still thinking

 

[Astronuc]

The three fulcrum points must apply a net force that is equal to the weight of the rod.

Then the net moment about any of the fulcrum must also be zero.

 

[robphy]

How many unknowns do you have?
How many equations do you need?
"any" ideas?

 

[phymind]

The only given parameters are the mass, m, and the four unequal lengths p,q,r and s. You just need to find the forces acting on the points A, B and C.