Classical Dynamics of Particles and Systems · Problem 3-5
Nonlinear Oscillations and Chaos — Marion & Thornton
Physics — Mechanics · simple-harmonic-oscillator
Problem
Obtain an expression for the fraction of a complete period that a simple harmonic oscillator spends within a small interval Δx at a position x. Sketch curves of this function versus x for several different amplitudes. Discuss the physical significance of the results. Comment on the areas under the various curves.