The cart has been pushed 1 m and then released where the mass of the cart is 10 kg and spring constant k=500 N/m.
1) Find the acceleration.
2) Find the ODE of the system.
3) Find the homogeneous and the particular solution when x(0)= -1 and v(0)=0.
4) Plot the general solution using MATLAB and show the frequency matches in numerical and analytical solutions.
Note) Email the m-file. Also include a figure, m code, and analytical solution in the written
homework submission.
2. Plot the general solution using MATLAB and show the frequency matches in numerical and analyticalM solution in prob. 1. Note) Email the m-file. Also include a figure, m code, and analytical solution in the written homework submission.