All Problems

Mechanical Oscillations

Problem 4.11

A point participates simultaneously in two harmonic oscillations of the same direction: x1=acosωtx_{1}=a \cos \omega t and x2=acos2ωtx_{2}=a \cos 2 \omega t. Find the maximum velocity of the point.

Reveal Answer
vmax=2.73aωv_{\max }=2.73 a \omega