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Simple Harmonic Motion Calculator

Compute displacement, velocity, acceleration, period, and energy for spring and pendulum SHM with detailed steps and time-domain visualization.

Formulas Used

  • Angular frequency: ω = √(k/m) or ω = √(g/L)
  • Period: T = 2π / ω
  • Displacement: x(t) = A cos(ωt + φ)
  • Velocity: v(t) = -Aω sin(ωt + φ)
  • Acceleration: a(t) = -Aω² cos(ωt + φ)

Mass-Spring Oscillator Details

  • - Assumes linear spring and negligible damping.
  • - Energy stays constant in ideal motion.
  • - Amplitude is measured from equilibrium position.

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