Conduct the following: 1. Derive the governing equation for the system shown in the below Figure 03, and find the natural and damping frequencies. 2. Draw the magnification factor Vs. r 3. Draw the phase angle Vs. r 4. Draw the response (0(t)) using suitable computer software (eg. Matlab, excel, ...,etc) for ( = 1000 rpm, 0. = 7.5 degree and 0.(dot) = 5degree/S. ww Mocos wt Uniform rigid bar, mass m + -1/2- Figure 3: Rigid Pinned Bar. ASSUMING: k = 5000 N/m, c = 1000 N-s/m, Mo-100 N.m, m=10 kg and 1= 1m