Review: Mechanical Waves

  1. Oscillations
    • What force is present for an oscillating system?
    • Define T = the time `period' (time for one cycle)
    • Define f = 1/T = the `frequency' (number of cycles per second)
    • The energy of the system oscillates between stored energy and energy of motion
    • What do in-phase and out-of-phase mean? Can you draw a picture?

  2. Examples of oscillating systems
    • a mass attached to a spring
    • a pendulum
    • a ball in a bowl
    • an atom in a crystal (this has very small oscillations)

  3. Traveling waves
    • Some materials have elastic properties (even glass!)
    • The energy in a traveling wave transfer from one atom to the next
    • What are transverse waves?
    • What are longitudinal waves?
    • Can you give examples of longitudinal or transverse waves?
    • Define tex2html_wrap_inline31 = wavelength. Can you draw this?
    • The velocity of a wave is v = tex2html_wrap_inline33 f, where f = frequency

  4. Standing waves
    • Traveling waves can be reflected by a hard surface
    • What is the condition for standing waves to occur?
    • A stretched string of length L has standing waves when 2L = ntex2html_wrap_inline31, where n can take on the values of 1 or 2 or 3 or . . .

  5. Resonance
    • What is meant by the `natural frequency' of an oscillating system?
    • Pulsing the system at its natural frequency creates a 'resonance'
    • Large vibrations results when resonance occurs. Can you draw this?
    • What are examples of designed (useful) resonance?
    • What is an example of a 2-dimensional resonance?

Ch. Elster
Aug 26 14:27:03 EDT 2019