Consider the spring-mass system \" +y - cost It has a solution yp tsin(t)/2. The

Question

Consider the spring-mass system " +y - cost It has a solution yp tsin(t)/2. The surprising part is that yp becomes unbounded for t>0 while the external force cos t remains bounded. This is called resonance. Select one of the following statements that describes the reason of this phenomenon. Selecting do not know, receives 0 point There is an 8 point penalty if your answer is wrong. Select one O The work done by the external force is accumulated as the internal energy of the system O I do not know O The accumulation of the external force becomes unbounded

Explanation / Answer

The correct option is The work done by the external force is accumulated as the internal energy of the system.

The external force can't get accumulated in the system. However, the work done by an external force can be accumulated. The work done by the external force in every period of the oscillation gets accumulated and becomes unbounded.

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