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.

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Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,