Section 3.7 Free Mechanical Vibrations: Problem 4 (1 point) This problem is an example of critically damped harmonic motion. Amass 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 we : 4 In and initial velocity on : 18 111/5. Determine the position function t) in meters. 36) = Graph the function 3(t}. Now assume the mass is set in motion with the same initial position and velocity, but with the dashpot disconnected { so c = 0}. Solve the resulting differential equation to nd the position function u(t). In this case the position function \"(12) can be written as u(t) = (11000.9(th an). Determine Co, mo and m]. C: 0 a A = / (assumegao