Problem 12.60

a) กำหนดให้ \(m = 5.00 kg, k = 20.0 N/m, A = 0.500 m,\)

\(f = 400 Hz, v_{O} = 10.0 m/s\) และ \(v = 349 m/s\)

จาก \(W_{NC}= \Delta E\)

\(W_{NC}= (K_{f}+ U_{f}) - (K_{i}+ U_{i})\)

\(0=(\frac{1}{2}mv_{\max}^{2}+0)-(0+\frac{1}{2}kA^{2})\)

\(v_{\max}=\sqrt{\frac{k}{m}}A = 1.00 m/s \;\blacksquare\)

b) จาก \(f_{O}= (\frac{v \pm  v_{O}}{v \mp  v_{S}})f\)

\(f_{O,\max}= (\frac{v + v_{O}}{v - v_{\max}})f = 413 Hz \;\blacksquare\)

\(_{O}\)

c) จาก \(f_{O}= (\frac{v \pm  v}{v \mp  v_{S}})f\)

\(f_{O,\min}= (\frac{v + v_{O}}{v + v_{\max}})f = 410 Hz \;\blacksquare\)