Many structures and materials have what is known as a natural frequency. If we apply a forcing frequency near the natural frequency of a material, the material experiences a phenomenon known as resonance.  This equation models resonance:                                          y(t) + (t/2)cos(t) a) Plot y(t) on the time interval 0 ≤ t ≤ 20.

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1. Many structures and materials have what is known as a natural frequency. If we apply a forcing frequency near the natural frequency of a material, the material experiences a phenomenon known as resonance. 

This equation models resonance:

                                         y(t) + (t/2)cos(t)

a) Plot y(t) on the time interval 0 ≤ t ≤ 20.

 

b) What is the lim as t approaches ∞ y(t)? How do physical objects like a wine glass react to this limit?

 

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