The displacement of a damped oscillator is represented as

PHYSICS · Multi-part · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

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

, where

A

\gamma

and

\omega

are constants. (a) Obtain the dimensions of

\gamma

. (b) Obtain the dimensions of

\omega

. (c) Comment on the dimensional consistency of the complete expression for

x(t)