The weight W that a horizontal beam can support varies inversely as the length L of the beam. Suppose that a 4m beam can support 1000 kg. How many kilograms can a 17m beam support?
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1 answer

W = k(1/L)
given: if L = 4m, W = 1000 kg
1000 = k(1/4)
k = 4000
so : W = 4000/L
if L = 17
W = 4000/17 = appr 235.29 kg
or
by ratio:
W1/W2 = L2/L1
1000/W2 = 17/4
17W2 = 4000
W2 = 4000/17 = 235.29 , as before 👍
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answered by Reiny
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