Answer :
Vertical force on left support = 2891 N
Vertical force on right support = 1323 N
Let's assume the Length of the horizontal beam = L(see diagram)
Mass of beam (m) = 110kg
Mass of piano(M) = 320kg
Weight of the Horizontal beam(W1) =mg = 110×9.8= 1078N
Net force acting on the beam =0
[tex]F_{L}[/tex] - Mg - mg + [tex]F_{R}[/tex] = 0
[tex]F_{L}[/tex] = Force support to the left
[tex]F_{R}[/tex] = Force support to the right
τ = F×r where, τ= Torque
Net torque is also 0
[tex]F_{R}[/tex]L - Mg[tex]\frac{L}{4}[/tex] - mg[tex]\frac{L}{2}[/tex] =0
[tex]F_{R}[/tex] = ([tex]\frac{M}{4} + \frac{m}{2}[/tex])g = 1323 N
[tex]F_{L}[/tex] = (M + m)g - [tex]F_{R}[/tex] = 2891 N
Hence Vertical force on left support is 2891 N and on right support is 1323 N
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