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Unformatted text preview: 21Driven oscillations2Driven Oscillations & ResonanceThis class1.Particular and homogeneous solution2.Response to periodic driving forces: amplitude and phase.3.Tutorial4.Resonance: concept, Q factor23Driven 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– xrays– hearingNuclear magnetic resonance scanCP 4652What 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 e6t +542Consider 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)526A 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? 62Continue 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.
 Spring '11
 STEVEPOLLOCK
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