Grade 10 physics
Mechanical Oscillations and Resonance (in depth)
Oscillations repeatedly exchange kinetic and potential energy; damping, driving and resonance determine how real amplitudes evolve.
1. Core ideas and learning goals
- Simple harmonic motion has acceleration proportional and opposite to displacement: a = -omega^2 x.
- For an ideal mass-spring system, omega0 = sqrt(k/m), so increasing mass lowers the natural frequency.
- In an undamped oscillator, kinetic and potential energies exchange while their sum remains constant.
- Damping removes mechanical energy and reduces free-oscillation amplitude over time.
- Resonance occurs when a periodic drive is near a natural frequency; its peak depends strongly on damping.
2. Physical model
Oscillations repeatedly exchange kinetic and potential energy; damping, driving and resonance determine how real amplitudes evolve.
Oscillations repeatedly exchange kinetic and potential energy; damping, driving and resonance determine how real amplitudes evolve. The model links observable changes with measurable physical quantities and conservation laws.
Before applying a relation, specify the reference frame, system boundary, initial state and approximations. The conclusion is valid only while those conditions are satisfied.