C4. Standing waves and resonance
Guiding questions:
What distinguishes standing waves from travelling waves?
How does the form of standing waves depend on the boundary conditions?
How can the application of force result in resonance within a system?
What distinguishes standing waves from travelling waves?
How does the form of standing waves depend on the boundary conditions?
How can the application of force result in resonance within a system?
How does the amplitude of vibration at resonance depend on the dissipation of energy in the driven system?
What is the relationship between resonance and simple harmonic motion?
How can resonance be explained in terms of conservation of energy?
How can the idea of resonance of gas molecules be used to model the greenhouse effect? (NOS)
the nature and formation of standing waves in terms of superposition of two identical waves travelling in opposite directions
nodes and antinodes, relative amplitude and phase difference of points along a standing wave
standing waves patterns in strings and pipes
the nature of resonance including natural frequency and amplitude of oscillation based on driving frequency
the effect of damping on the maximum amplitude and resonant frequency of oscillation
the effects of light, critical and heavy damping on the system.