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August 27, 2014

Homework Help: Math: Calculus

Posted by Anonymous on Tuesday, September 22, 2009 at 8:45pm.

The max. weight M that can be supported by a beam is jointly proportional to its width w and the square of its height h, and inversely proportional to its length L.

a) write an equation that expresses the proportionality.
b) determine the constant of proportionality if a beam is 4 in. wide, 6 in. high, and 12 ft long can support a weight of 4800 lb.
c) if a 10-ft beam, made of the same material is 3 in. wide and 10 in.high, what is the max. weight it can support?

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