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Physics module 23 · Put your knowledge to work

Oscillations Applications

Practise SHM, damping, resonance, and standing-wave problems.

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6 problem sets · Learn at your pace · Some resources require membership

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Start with a familiar topic, then work towards more demanding problems.

6 of 6 sets

  1. 01Problem studio

    Simple Harmonic Motion Problems

    a = −ω²x, spring and pendulum periods, v = ω√(A² − x²), and phase.

    Open practice
  2. 02Problem studio

    Energy in SHM Problems

    E = ½mω²A², the KE/PE split at any displacement, and maximum speeds.

    Open practice
  3. 03Problem studio

    Damped Oscillations Problems

    The envelope A₀e^(−γt), energy vs amplitude, decay constants, and Q.

    Open practice
  4. 04Problem studio

    Forced Oscillations and Resonance Problems

    Natural frequencies, resonance conditions, Q from bandwidth, and critical rpm.

    Open practice
  5. 05Problem studio

    Standing Waves Problems

    Harmonics on strings f(n) = nv/2L, open and closed pipes, and tension tuning.

    Open practice
  6. 06Problem studio

    Oscillations Calculus Problems

    Differentiate x = A sin ωt, integrate ∫kx dx, decay logarithms, and ω = √(g/L).

    Open practice
Review the foundations 3 related lessons

Extra challenging questions

Take the ideas further with course-specific extension questions, supplied-data graphs and worked solutions.