Problem 8.55 Challenge

a) กำหนดให้ \(m = 0.500 kg, k = 200 N/m, b = 0.350 kg/s,\)

\(F_{0} = 5.00 N\) และ \(ω = 10.0π\)

จาก \(\omega = 10.0\pi\)

\(2\pi f = 10.0\pi\)

\(f = 5.00 Hz \;\blacksquare\)

b) จาก \(A = \frac{F_{0}}{m(\omega ^{2} - \omega _{0}^{2})^{2} + 4\gamma ^{2}\omega ^{2}}\)

A จะมากสุดเมื่อ \(ω^{2} - ω_{0}^{2} = 0\)

\(\omega = \omega _{0}\)

\(2\pi f_{res}=\sqrt{\frac{k}{m}}\)

\(f_{res}=\frac{1}{2\pi}\sqrt{\frac{k}{m}}\;\blacksquare\)