[Steps Shown] The strength of a rectangular beam is proportional to the width and the square of the breadth. Find the dimensions of the cross section of




Question: The strength of a rectangular beam is proportional to the width and the square of the breadth. Find the dimensions of the cross section of the strongest beam that can be cut from a circular cylindrical log of diameter 3m
Hint: Let S be the strength, then \(S=Kw{{b}^{2}}\), where k is the constant of proportionality.

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