If a diver of mass m stands at the end of a diving board with length L and linear

Chapter 4, Problem 70

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If a diver of mass m stands at the end of a diving board with length L and linear density , then the board takes on the shape of a curve y fsxd, where EIy0 mtsL 2 xd 1 1 2 tsL 2 xd 2 E and I are positive constants that depend on the material of the board and t s, 0d is the acceleration due to gravity. (a) Find an expression for the shape of the curve. (b) Use fsLd to estimate the distance below the horizontal at the end of the board. y 0 x

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