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The following equation can be used to model the deflection of a sailboat mast subject to a wind force: di (2-3) where f = wind force, E = modulus of elasticity, L = mast length, and I = moment of inertia. Note that the second order differential equation can be decoupled into the following two first order differential equations: =w de EU (2-2) dz Write a program that uses the fourth-order Runge-Kutta method to calculate the deflection distribution along the mast and plot it against z if y = 0 and dy/dz= 0 at z = 0. Use parameter values of f = 60, L = 30, E = 1.25 x 10®, and I = 0.05 for your computation For the first three problems submit: a copy of any script and function used in the problem (m), a copy of the command line input/output associated with the problem, any plots generated, and a brief summary (one or two sentences).

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