In this session we study the undamped harmonic oscillator forced at its natural frequency. In this case the system responds by oscillating with an amplitude that grows to infinity over time. This is what is called pure resonance. Mathematically it is the case p(a) = 0 in the Exponential Response Formula.
Read the course notes:
Watch the lecture video clips:
Resonance in the Undamped System (00:18:22)
Reconciling the Resonant and Non-resonant Solutions (00:16:03)
Watch the problem solving video:
Complete the problem set: