Solve equation (4) subject to the appropriate boundary conditions. The beam is of length L, and w

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Solve equation (4) subject to the appropriate boundary conditions. The beam is of length L, and w0 is a constant.

(a) The beam is embedded at its left end and simply supported at its right end, and w(x) = wsin(πx/L), 0 < x < L.

(b) Use a graphing utility to graph the deflection curve when w0 = 2π3EI and L = 1.

(c) Use a root-finding application of a CAS (or a graphic calculator) to approximate the point in the graph in part (b) at which the maximum deflection occurs. What is the maximum deflection?

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