Introduction to Classical Mechanics · Problem 4.13

Conservation of energy and momentum — Morin

Physics — Mechanics · linear-differential-equations

Problem

A particle of mass mm is subject to a force F(x)=kxF(x) = kx, with k>0k > 0. What is the most general form of x(t)x(t)? If the particle starts out at x0x_0, what is the one special value of the initial velocity for which the particle doesn't eventually get far away from the origin?

Related theory

Browse the problem library