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Ldaniel
A rectangular beam is cut from a cylindrical log of radius 25 cm. A cross-section of the log is shown below. The strength, S, of a beam of width w and height h is proportional to wh2. (a) Express the strength of the beam as a function of w only. Use k as the proportionality constant. S(w) = (b) Find the exact width and height of the beam of maximum strength. Width = Height =