MEX-024 · Fluids, oscillations and waves Sample material

Mechanical oscillations and waves

Harmonic oscillations and their characteristics, spring and simple pendulums, the energy of oscillations, damped and forced oscillations, resonance; mechanical waves, wavelength and wave speed, sound and standing waves.

Estimated time: 2 h 50 min 3 activities

Learning objective

Understand the harmonic oscillation equation and its parameters (amplitude, period, frequency, phase).
Derive and calculate the periods of spring and simple pendulums.
Explain damped and forced oscillations and resonance.
Master the types of mechanical waves and the relation $v = \lambda\nu$.

Expected outcomes

Determines the amplitude, period, frequency and initial phase from the oscillation equation.
Calculates the period of a pendulum, the maximum speed and the energy of oscillations.
Finds the wavelength, the wave speed and the natural frequencies of a string.

Interactive modelSpring pendulum: harmonic oscillations
Interactive modelWave

Activities

Lecture
Lecture · 1 h 15 min · required
Problem solving: mechanical oscillations. Problem solving: mechanical waves
Practice · 1 h 15 min · required
Final test
Test · 20 min · required · pass ≥ 70%

Completion conditions

  • Lecture
  • Problem solving: mechanical oscillations. Problem solving: mechanical waves
  • Final test — at least 70%