Problem Problem List Next Problem Section 3.7 Free Mechanical Vibrations: Problem 4 (1 point) This problem is an example of critically damped harmonic motion. A mass m = 6 kg is attached to both a spring with spring constant k = 96 N/ m and a dash-pot with damping constant c = 48 N . s/ m The ball is started in motion with initial position zo = 4 m and initial velocity vo = -18 m/s Determine the position function a (t) in meters. I(t) = Graph the function z(t) Now assume the mass is set in motion with the same initial position and velocity, but with the dashpot disconnected ( so c = (). Solve the resulting differential equation to find the position function u(t) In this case the position function u(t) can be written as u(t) = Cocos(wet - ap). Determine Co. wo and ag. Co = 4 (assume 0 S co