Classical Dynamics of Particles and Systems · Problem 4-9

Gravitation — Marion & Thornton

Physics — Mechanics · undamped-piecewise-linear-force

Problem

Investigate the motion of an undamped particle subject to a force of the form

F(x) = \begin{cases} -kx, & |x| < a \\ -(k+\delta)x + \delta a, & |x| > a \end{cases}

where

k

and

\delta

are positive constants.