Problema Solution
a 2 by 6 inch beam varies inversly with its length. the 6ft beam can supports 1000 pounds. how much weight could it support if it is 20 ft long?
Answer provided by our tutors
let 'w' represent the weight
the length varies inversely with the weight if there is a constant k such that:
length*weight = k
in our case:
for length = 6 ft we have weight = 1,000 lbs
for length = 20 ft the weight is w
20w = 6*1000
by solving we find:
w = 300 lbs
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the 20 ft beam can support 300 pounds.