An Artist Works on a Museum Installation That Includes a Spring

Essay

An artist works on a museum installation that includes a spring attached to the ceiling with a 5 kg pink quartz crystal attached to the other end.The artist sets the installation in motion by pulling the crystal down an additional 0.2 meters and then releasing it.Assuming no air resistance, set up a differential equation with initial conditions describing the motion of the crystal.Then solve your differential equation and use it to find the location of the crystal after $\frac{\pi}{4 \omega}$ seconds.