Spring (Hooke + SHM)

Hooke's law, period, energy, spring combinations

About this tool

Three calculators in one panel.

Hooke's law

Solves F = k · x for any unknown; reports stored energy U = ½ k x².

Simple harmonic motion

Mass-spring period T = 2π√(m/k), frequency f = 1/T, angular frequency ω = √(k/m).

Two-spring combinations

Series k_s = k_a·k_b/(k_a + k_b); Parallel k_p = k_a + k_b.