Consider a mechanical oscillator with the following characteristics: a mass of 3 kg, a damping constant of 30 and a spring constant of 123. It is started from equilibrium position with an initial velocity of 2 m/s. Write the equation of motion of the oscillator. Solve for the general solution. Write the solution in Amplitude - phase of the form Acos(wt+y) Apply the initial conditions to your solution. Find the damping constant that would produce critical damping. Find the solution in this case.

Consider a mechanical oscillator with the following characteristics: a mass of 3 kg, a damping constant of 30 and a spring constant of 123. It is started from equilibrium position with an initial velocity of 2 m/s. Write the equation of motion of the oscillator. Solve for the general solution. Write the solution in Amplitude - phase of the form Acos(wt+y) Apply the initial conditions to your solution. Find the damping constant that would produce critical damping. Find the solution in this case.