Determine the response of an undamped system of m = 1kg k = 100N / m to a ramp input ofthe form F(t) = 50Nt / t_{r} ( F(t) = 50N when t> tr) between 0 and 20Tn. Plot the response for threevalues of t_{r} = 5T_{n} Tn, 0.2Tn Obtain the resulting vibration of the system by calculating theconvolution integrals ('conv` command in Matlab) Then obtain the same results numerically-treating the loading as summation of impulses.