1 An object stretches a spring 6 inches in equilibrium. Set up the equation of motion and find its general solution.

 1 An object stretches a spring 6 inches in equilibrium.

1. Set up the equation of motion and find its general solution.

2. Find the displacement of the object for t > 0 if it is initially stretched upward 18 inches above equilibrium and given a upward velocity of 3 ft/s.

3. Write down the solution found in 2. in the form R cos(ω0t−φ) and determine the frequency, period, amplitude, and phase angle of the motion