A 175 kg horizontal beam is supported at each end. A 300 kg piano rests a third of the way from one end.

Question

What is the vertical force on the support closest to the piano?
N
What is the vertical force on the support furthest from the piano?
N

Answer 1

Sum forces in the vertical

Fc= force closest
Ff=force furtherest

Fc+Ff-W-mg=0 where mg is the weight of the beam, W is the weight of the piano

Then sum moments about any point. I will sum about the closest end.

W*L/3+mgL/2-Ff*L=0
solve for Ff, then use the first equation for Fc