mi m2 m3 d. [5 points] For each of the first three natural frequencies, write down the associated Mode Shape equations
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mi m2 m3 d. [5 points] For each of the first three natural frequencies, write down the associated Mode Shape equations
d. [5 points] For each of the first three natural frequencies, write down the associated Mode Shape equations for U.(x), where n = 0, 1, and 2. e. [5 points) Assuming Co = 2.6137, C1 = 1.0827, and C2 = 1.0827, and the length of the rocket is l = 20 meters, use the 3 mode shape equations to compute the deflection of the rocket at x = 0,5, 10, 15, and 20 meters along it length. Create a table of these values with columns x, Vox), U2(x), and Uz(x), and X rows for x = 0,5, 10, 15, and 20. Plots these 3 curves neatly on one clear large graph. [hint: just plot the longitudinal deflections as transverse magnitudes in the plot). х Vo(x) U1(x) U2(x) 0 5 10 15 20