A 1 kg mass is suspended from a spring that is stretched 1 cm downwards under the influence of the mass's weight. An external periodic force of F(t)=200cosωt is applied to the mass, which is initially...

A 1 kg mass is suspended from a spring that is stretched 1 cm downwards under the influence of the mass's weight. An external periodic force of F(t)=200cosωt is applied to the mass, which is initially in static equilibrium. Neglecting all resistance, obtain a relation for the displacement of the mass as a function of time. Also determine the value of ω that will cause resonance to take place.