For a clamped-clamped bar, find the frequency response due to a harmonic load 4*exp(it). Assume the load is uniformly distributed. Using MATLAB, solve the problem with a) mode superposition analysis and b) finite element analysis before plotting the frequency response u() at the middle of the bar. Additionally, give the response for u([₁+₂]/2).

The properties of the bar are as follows: L = 50 in, E= 10000 ksi, rho = 0.0002588 (lb*s²)/(in⁴), A = 4 in²