Mass-spring systems are governed by the following differential equation. Play with the variables or drag the mass itself!

mx′′ + bx′ + kx = f(t)

	m = kg mass: resistance to force
	b = kg/s damping coefficient: resistance to movement
	k = kg/s2 spring constant: stiffness of spring
	f(t) = F0 cos ωt = kg px/s2 forcing function: external force on block turn oscillation on | reset f(t) = 0
	ω = s−1 angular frequency of forcing function

We can find more information by rewriting the equation as:

x′′ + 2ζω₀x′ + ω₀²x = f(t) / m

	ζ = b / 2√mk = damping ratio: system is underdamped if 0 < ζ < 1 system is critically damped if ζ = 1 system is overdamped if ζ > 1
	T = 2π / ω1 = s period of motion
	ω0 = √k / m = s−1 natural angular frequency: undamped frequency
	ω1 = ω0√1 - 2ζ2 = s−1 actual angular frequency (ω0 ≈ ω1 for ζ ≪ 1)