For a damped oscillator with

PHYSICS · Single correct · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

m = 0.50\,\text{kg}

k = 200\,\text{N\,m}^{-1}

and

b = 2.0\,\text{kg\,s}^{-1}

, the natural angular frequency is

\omega_0 = 20\,\text{rad\,s}^{-1}

and the resonance frequency is

\omega_{\text{res}} = 19.8\,\text{rad\,s}^{-1}

. The percentage decrease in frequency due to damping is approximately (a)

2\%

(b)

1\%

(c)

0.5\%

(d)

4\%