M m m f0 m as the amplitude of driven dividing

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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 m 2 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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This note was uploaded on 02/18/2011 for the course PHYS 320 taught by Professor Martinconner during the Spring '10 term at Open Uni..

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