Asked by ami
A 175 kg horizontal beam is supported at each end. A 300 kg piano rests a third of the way from one end.
What is the vertical force on the support closest to the piano?
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What is the vertical force on the support furthest from the piano?
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What is the vertical force on the support closest to the piano?
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What is the vertical force on the support furthest from the piano?
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Answers
Answered by
bobpursley
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
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
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