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Unformatted text preview: / m
2
(0 0) 2 (0) 2 F0
F
F 0k 0 as
2
m0 m m k expected. Also, in this limit we are pulling the spring so slowly that its stretch follows exactly the applied force, so
we expect zero phase lag (15:30). It is easy to show that the δ equation gives tan(0) or zero, as expected. We can
also consider the resonant case, ω=ω0. Then A F0 / m
(0) 2 (0 ) 2 F0
, but since Q=ω0/γ, this is
m0 F0Q F0 Q (17:10). So in resonance, the amplitude is Q times what it is at very low frequencies. This factor
m0 2 k
can have a huge effect, since Q can be very large in a system with little damping. Finally, if one drives at a very high
frequency, the inertia of the mass prevents a response, and the amplitude is essentially zero. The phase at high 1 PHYS 302: Unit 3 Viewing Notes – Athabasca University fr...
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 Spring '10
 martinconner
 Force, Mass

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