ch15-p112 - period (for the part of the above graph near...

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112. (a) A plot of x versus t (in SI units) is shown below: If we expand the plot near the end of that time interval we have This is close enough to a regular sine wave cycle that we can estimate its period ( T = 0.18 s, so ω = 35 rad/s) and its amplitude ( y m = 0.008 m). (b) Now, with the new driving frequency ( ω d = 13.2 rad/s), the x versus t graph (for the first one second of motion) is as shown below:
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It is a little more difficult in this case to estimate a regular sine-curve-like amplitude and
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Unformatted text preview: period (for the part of the above graph near the end of that time interval), but we arrive at roughly y m = 0.07 m, T = 0.48 s, and = 13 rad/s. (c) Now, with d = 20 rad/s, we obtain (for the behavior of the graph, below, near the end of the interval) the estimates: y m = 0.03 m, T = 0.31 s, and = 20 rad/s....
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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.

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ch15-p112 - period (for the part of the above graph near...

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