Determine the equation of the curve

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1. The cable of negligible mass is suspended from the two fixed points shown, and the tension at the lower support is sufficient to maintain zero slope of the cable at that point. The cable supports a unit load w which decreases from 100 lb /ft at x = 0 to 40 lb /ft at x = 30 ft with the decrease propor- tional to x2. Determine the equation of the curve assumed by the cable.

2. A light fixture is suspended from the ceiling of an outside portico. Four chains, two of which are shown, prevent excessive motion of the fixture during windy conditions. If the chains weigh 15 lb per foot of length, determine the chain tension at C and the length L of chain BC.

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Reference no: EM13933549

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