Answer:
0.72 Hz minimum frequency
Explanation:
When the damping is negligible,Amplitude is given as
[tex]A = (F/m)/[\sqrt{(\omega ^{^{2}}-\omega _{o}^{2}})^2[/tex]
here [tex]\omega _{o}^{2}= k/m[/tex] = (6.30)/(0.135) = 46.67 N/m kg
[tex]F / mA[/tex] = 1.70/(0.135)(0.480) = 26.2 N/m kg
From the above equation , rearranging for ω,
[tex]\omega ^{2}= \omega _{o}^{2}\pm F/m[/tex]
⇒ ω² =46.67 ± 26.2 = 72.87 or 20.47
⇒ ω = 8.53 or 4.52 rad/s
Frequency = f
ω=2 π f
⇒ f = ω / 2π = 8.53 /6.28 or 4.52 / 6.28 = 1.36 Hz or 0.72 Hz
The lower frequency is 0.72 Hz and higher is 1.36 Hz
