A 1/5 kg mass is attached to a spring with stiffness k = 50 N/m. The motion is initiated by striking the mass, at equilibrium, so as to impart a velocity of 5 m/s to the right. Find the equation of motion if any damping, external forces and friction over the sliding surface, are ignored. Identify the amplitude and period of the oscillations. After how many seconds will the mass first cross the equilibrium point?
Equilibrium point
Figure 4.1 Damped massāspring oscillator