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Section 3.7 Free Mechanical Wbrations: Problem 4 Previous Problem Problem List Next Problem (1 point) This problem is an example of critically damped harmonic motion. A mass m = 8 kg Is attached to both a spring with spring constant k = 72 me amt a dash-pot with damping constant c = 48 N - Sim. 'lhe loall is started in motion with initial position x0 = 4 In and initial velocity 1.1.] = ]6 mr's. Determine the position function x') in meters. x{t') = Graph the function x(t'). Now assume the mass is set in motion with the same initial position and velocity, but with the dashpot disconnected [ so r: = D]. Solve the resulting differential equation to nd the position function nit). In this case the position function u) can be written as HO} = Canceling]! (to). Determine Cu, to\" and an . Cu: 'Jlo= A an: /(assume_au