y |y(x,t) x m 2 Use the finite elements method for the hanging cable with a lumped mass shown in the figure below to approximate its response y(x, t) to the initial deflection given as y(x, 0) = yo(x) = 0.1x. Note that the tension in the cable is T(x) = pg(L - x) + mg. Assume that y(x, 0) = 0, L = 1 m, p = 1 kg/m, m = 2 kg, g = 9.81 m/s. Project With Bonus Compute y(x,t) for each of n = 2,3,4 and plot y(L, t) vs. time for 10 seconds. Plot also w (lowest frequency) vs. n to show the convergence of the solution.