Thread: resonance?

What is resonance? How do I approach this question?

2x" + 36x = sin(wt)
a) For what values of w will the system exhibit resonance?
b) Use the method of undetermined coefficients to find a particular solution in the case where w is not the resonant frequency.

Originally Posted by lord12

What is resonance? How do I approach this question?

2x" + 36x = sin(wt)
a) For what values of w will the system exhibit resonance?
b) Use the method of undetermined coefficients to find a particular solution in the case where w is not the resonant frequency.

Resonance occurs when the natural frequency of the system is the same as the forced frequency.

So start by solving 2x" + 36x = 0. Can you do this?