A rod of mass moment of inertia In {about point D ) and total length l m is supported by a spring and damper as shown. a. Derive the equation of motion for the system using ['3' as your coordinate. Express your final answer in standard form. Leave your answer in terms of U\". a, b nadir} Determine the response 3U) given that: ,5, = 1 Kgmz, s = g m. n =fm, k = soowm. r = 15 stm,(t]] = Brad and are} = 1 rod is b. Plot (t] {Acceleration response} over the domain '3 E t E 53 for i. c = 15 stm ii. :3 = 1t]I stm