Question 1107144: A 185 kg horizontal beam is supported at each end. A 320 kg piano rests a fifth 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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Answer by rothauserc(4718)   (Show Source):
You can put this solution on YOUR website! we use the relationship F(force) = mg, where m is the objects mass and g is the acceleration of gravity, therefore
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F = (185 kg) * (9.8 m/sec^2) = 1813 Newtons(N)
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each support of the beam supports 1813/2 = 906.5 N
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to find the additional weight added to each support by the 320 kg weight, consider if the weight is placed equidistant from each support, then the additional weight on each support would be 320/2 = 160 kg
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the support closest to the weight = (4/5) * 320 + 906.5 = 1162.5 N
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the support furthest to the weight = (1/5) * 320 + 906.5 = 970.5 N
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