The displacement of a damped harmonic oscillator is suggested to be

MATHEMATICS · Multi-part · A Level · Mathematics · Quantities and units in mechanics · Quantities and units in mechanics

Problem

x = A e^{-bt} \cos(\omega t)

, where

A

b

, and

\omega

are constants. Answer the following: (a) Write the dimensions of

b

and

\omega

. (b) State briefly why dimensional analysis alone is insufficient to check the overall correctness of the given expression.