Introduction to Classical Mechanics · Problem 4.34

Conservation of energy and momentum — Morin

Physics — Mechanics · coupled-oscillators

Problem

The system in the example in Section 4.5 is modified by immersing it in a fluid so that both masses feel a damping force,

F_{\rm f} = -bv

. Solve for

x_1(t)

and

x_2(t)

. Assume underdamping.