Finding the motion of mass on a spring

Theres a spring on a ceiling with a mass on it. The system is submerged in dampening fluid. The mass starts moving at t=0. Find y(t) given the initial values.

Describe the motion. Find the quasi-frequency of the the motion and compare it to its natural frequency. Find the minimum/max amplitude. Find the gamma of the

medium resulted in a critically damped system. What is the new max/min amplitude ? Find the new quasi frequency and the quasi-period.

Sample Solution