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A mass m is attached to a spring with stiffness k=25 N/m. The mass is stretched...

A mass m is attached to a spring with stiffness k=25 N/m. The mass is stretched 1 m to the left of the equilibrium point then released with initial velocity 0.

  1. Assume that m = 3 kg, the damping force is negligible, and there is no external force. Find the position of the mass at any time along with the frequency, amplitude, and phase angle of the motion.
  2. Suppose that the spring is immersed in a fluid with damping constant C = 10 , and the external force is negligible. Find the mass that would produce critical damping, and find the new position of the mass at any time.
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