High School · Ages 14-18Grades 9-12 · IGCSE · AS & A-Level · IB DiplomaExtended

 

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Setups other learners found interesting in Spring Mass System Simulator. Try one, then tweak it.

Spring Mass System Simulator

A mass hangs from a spring and oscillates. The spring pulls back with a force proportional to how far it is stretched (Hooke's law), and that linear restoring force is exactly what produces simple harmonic motion. Change the mass, the spring constant or the damping and watch the period and decay respond.

Key formulas

  • F=−k xF = -k\,x

    Hooke's law

    FF
    Spring forceN
    kk
    Spring constantN/m
    xx
    Displacement from rest lengthm
    Open the formula card
  • ω=km\omega = \sqrt{\dfrac{k}{m}}

    Angular frequency of a mass on a spring

    ω\omega
    Angular frequencyrad/s
    kk
    Spring constantN/m
    mm
    Masskg
    Open the formula card
  • T=2πmkT = 2\pi\sqrt{\dfrac{m}{k}}

    Period of a mass on a spring

    TT
    Periods
    mm
    Masskg
    kk
    Spring constantN/m
    Open the formula card

What you can change

  • Bob mass
  • Spring constant
  • Damping coefficient
  • Rest length
  • Gravity

Key concepts

  • Hooke's law
  • Simple harmonic motion
  • Angular frequency, period and frequency
  • Damped oscillation