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Unformatted text preview: To convert to angle x=r can be substituted in resulting in: Fm = Fmax5800*.03 2000*.03 d /dt = Fmax174 60 d /dt Then assuming small angle where cos( ) can be approximated by 1.0 the following moment balance can be made: moments = I d 2 /dt 2 Fm*.03 mg *.3 = m L 2 d 2 /dt 2 Fmax*.03 5.22 1.8 d /dt 8.82 = 0.27 d 2 /dt 2 .27 d 2 /dt 2 + 1.8 d /dt + 5.22 = 8.82 Fmax*.03 = (5.22/.27 (1.8/(2*.27)) 2 ) 1/2 = 2.87rad/sec f=2.87/6.28=0.46 Hz This can be compared to the pendulum natural frequency which is =(9.8/.3) 1/2 = 5.72 rad/sec or 0.91 Hz The plot of the time solution (normalized) is shown below, the A coefficient was set to 1.0 and the phase at time zero was set to 0. 0.5 1 1.5 2 2.5 3 3.5 4 4.5 50.2 0.2 0.4 0.6 0.8 1 1.2 X TIME (SEC)...
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This note was uploaded on 10/20/2009 for the course BME 403 at USC.
 '07
 Yamashiro

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