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A m=5 kg mass hangs on a spring that is stretched 2 cm under the influence...

A m=5 kg mass hangs on a spring that is stretched 2 cm under the influence of the weight of this mass. The mass is attached to a damper with a damping constant of c=200 Ns/m. A periodic external force of F(t) = 200cos(ωt) is now applied on the mass that was initially in static equilibrium. Neglecting any friction, obtain a relation for the displacement of the mass x(t) as a function of ω and t. Also, determine the value of ω that will cause resonance to occur.

This is a combined question from the book of Differential Equations for Engineers and Scientists by Cengel. Question 3-195 and 3-198 is mixed.

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