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Unformatted text preview: 20. We note that the ratio of Eq. 15-6 and Eq. 15-3 is v/x = –ωtan(ωt + φ) where ω = 1.20
rad/s in this problem. Evaluating this at t = 0 and using the values from the graphs shown
in the problem, we find φ = tan−1(–vo/xoω) = tan−1(+4.00/(2 × 1.20)) =1.03 rad (or –5.25 rad).
One can check that the other “root” (4.17 rad) is unacceptable since it would give the
wrong signs for the individual values of vo and xo. ...
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This note was uploaded on 06/03/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.
- Spring '08