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Unformatted text preview: the square root gives us A 2
(0 2 )2 ( )2 damped motion (9:40). Although this function is complicated, it should be immediately clear that the amplitude will
be highest when the driving frequency ω is near ω0, as expected. Near this value of frequency, the first term in the
denominator is zero, making the overall value of the function large. However, to get the value of A through this
approach, we have eliminated all information about the other unknown, δ. We can get this information back by
dividing A F0
sin by ( 2 0 ) A F0
m cos , giving 2
0 2 tan (10:20). Note that A, in turn, has disappeared, and only information about the phase shift is left. Again, something significant clearly happens to the
phase shift when the driving frequency ω is near ω0. This result of resonance may be less expected; we will explore
this below. In the...
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