Classical Dynamics of Particles and Systems · Problem 3-2

Nonlinear Oscillations and Chaos — Marion & Thornton

Physics — Mechanics · damped-oscillator

Problem

Allow the motion in the preceding problem to take place in a resisting medium. After oscillating for 10 s, the maximum amplitude decreases to half the initial value. Calculate (a) the damping parameter β\beta, (b) the frequency ν1\nu_1 (compare with the undamped frequency ν0\nu_0), and (c) the decrement of the motion.

Related theory

Browse the problem library