5_7-Clickers-Driven Damped Oscillators

5_7-Clickers-Driven Damped Oscillators - 2-1Driven...

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Unformatted text preview: 2-1Driven oscillations2-Driven Oscillations & ResonanceThis class1.Particular and homogeneous solution2.Response to periodic driving forces: amplitude and phase.3.Tutorial4.Resonance: concept, Q factor2-3Driven oscillators and Resonance: phenomena occur widely in natural and in technological applications: Emission & absorption of lightLasersTuning of radio and television setsMobile phonesMicrowave communicationsMachine, building and bridge designMusical instrumentsMedicine– nuclear magnetic resonance magnetic resonance imaging– x-rays– hearingNuclear magnetic resonance scanCP 4652-What is the particular solution to the equationy’’+4y’-12y=5 ?A)y=e5tB)y=-5/12C)y=-a 5/12, a determined by initial conditionsD)y= a e2t +b e-6t +542-Consider the following equationThe solution is given byA. B. C. D. I do not know x’’+16x=9 sin(5 t), x(0)=0, x’(0)=0 x(t)=c1 cos[4 t]+ c2 sin[4t]- sin(5 t)x(t)=5/4 sin[4t]- sin(5 t)x(t)= cos[4t]- cos(5 t)52-6A person is pushing and pulling on a pendulum with a long rod. Rightward is the positive direction for both the force on the pendulum and the position x of the pendulum mass To maximize the amplitude of the pendulum, how should the phase of the driving force be related to the phase of the position of the pendulum? 62-Continue the topic : Driven Oscillations & ResonanceThis class1.Finish Tutorial2. Response to periodic driving forces: amplitude and phase....
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This note was uploaded on 02/27/2012 for the course PHYSICS 2210 taught by Professor Stevepollock during the Spring '11 term at Colorado.

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5_7-Clickers-Driven Damped Oscillators - 2-1Driven...

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