So in this limit af0k if we put 0 in the a equation we

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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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