467_Physics ProblemsTechnical Physics

467_Physics - Chapter 15 P15.73 For max = 5.00 the motion calculated by the Euler method agrees quite precisely with the prediction of max cos t

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Chapter 15 469 P15.73 For θ max . 5 00 , the motion calculated by the Euler method agrees quite precisely with the prediction of θω max cos t . The period is T = 220 . s . FIG. P15.73 Time, t (s) Angle, (°) Ang. speed (°/s) Ang. Accel. ° s 2 ej max cos t 0.000 5.000 0 0.000 0 –40.781 5 5.000 0 0.004 4.999 3 –0.163 1 –40.776 2 4.999 7 0.008 4.998 0 –0.326 2 –40.765 6 4.998 7 0.544 0.056 0 –14.282 3 –0.457 6 0.081 0 0.548 –0.001 1 –14.284 2 0.009 0 0.023 9 0.552 –0.058 2 –14.284 1 0.475 6 –0.033 3 1.092 –4.999 4 –0.319 9 40.776 5 –4.998 9 1.096 –5.000 0 –0.156 8 40.781 6 –4.999 8 1.100 –5.000 0 0.006 3 40.781 4 –5.000 0 1.104 –4.999 3 0.169 4 40.775 9 –4.999 6 1.644 –0.063 8 14.282 4 0.439 7 –0.071 6 1.648 0.003 3 14.284 2 –0.027 0 –0.014 5 1.652 0.060 4 14.284 1 –0.493 6 0.042 7 2.192 4.999 4 0.313 7 –40.776 8 4.999 1 2.196 5.000 0 0.150 6 –40.781 7 4.999 9 2.200 5.000 0 –0.012 6 –40.781 3 5.000 0 2.204 4.999 3 –0.175 7 –40.775 6 4.999 4 For max 100 , the simple harmonic motion approximation max cos t diverges greatly from the Euler calculation. The period is
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This note was uploaded on 12/14/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .

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