Mass–Spring Oscillator (Simple Harmonic Motion)

Theory

The spring exerts $F=-kx$ (Hooke’s law). The mass performs simple harmonic motion with period $T=2\pi \sqrt{m/k}$, independent of the amplitude. Energy oscillates between kinetic and elastic $E_{el}=\frac{1}{2}k{x}^2$.

What to observe

• m = 2 kg, k = 40 N/m → T ≈ 1.40 s (vertical and horizontal!).
• The position graph is a sine wave.

Try this

• Select the spring and change k or the damping.
• Quadruple the mass: the period doubles.

Also available in: Oscilador massa–mola (MHS) (Português) · Oscilador masa–resorte (MAS) (Español)