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This lecture covers the solution of forced harmonic oscillators, including the equation of motion, homogeneous and particular solutions, resonance phenomenon, and application of initial conditions. It also discusses the power dissipated by the motor and the quality factor of the resonator. The instructor explains the concepts using examples of damped and driven harmonic oscillators, emphasizing the importance of initial conditions and the nature of the oscillations. The lecture concludes with an analysis of elastic and inelastic collisions, highlighting the conservation of momentum and energy in different collision scenarios.