Lecture21Notes

# Lecture21Notes - Physics 121 April 8 2008 Harmonic Motion...

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1 Frank L. H. Wolfs Department of Physics and Astronomy, University of Rochester Physics 121, April 8, 2008. Harmonic Motion. Frank L. H. Wolfs Department of Physics and Astronomy, University of Rochester Physics 121. April 8, 2008. Course Information Topics to be discussed today: Simple Harmonic Motion (Review). Simple Harmonic Motion: Example Systems. Damped Harmonic Motion Driven Harmonic Motion Frank L. H. Wolfs Department of Physics and Astronomy, University of Rochester Physics 121. April 8, 2008. Homework set # 8 is due on Saturday morning, April 12, at 8.30 am. Homework set # 9 will be available on Saturday morning at 8.30 am, and will be due on Saturday morning, April 19, at 8.30 am. Requests for regarding part of Exam # 1 and # 2 need to be given to me by April 17. You need to write down what I should look at and give me your written request and your blue exam booklet(s).

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2 Frank L. H. Wolfs Department of Physics and Astronomy, University of Rochester Harmonic motion (a quick review). Motion that repeats itself at regular intervals. Frank L. H. Wolfs Department of Physics and Astronomy, University of Rochester Simple Harmonic Motion (a quick review). x(t) = x m cos( ! t + " ) Amplitude Phase Constant Angular Frequency Frank L. H. Wolfs Department of Physics and Astronomy, University of Rochester Simple Harmonic Motion (a quick review). Other variables frequently used to describe simple harmonic motion: The period T: the time required to complete one oscillation. The period T is equal to 2 π / ω . The frequency of the oscillation is the number of oscillations carried out per second: ν = 1/T The unit of frequency is the Hertz (Hz). Per definition, 1 Hz = 1 s -1 .
3 Frank L. H. Wolfs Department of Physics and Astronomy, University of Rochester Simple Harmonic Motion (a quick review). What forces are required? Using Newton’s second law we can determine the force responsible for the harmonic motion: F = ma = - m ω 2 x The total mechanical energy of a system carrying out simple harmonic motion is constant. A good example of a force that produces simple harmonic motion is the spring force: F = - kx . The angular frequency depends on both the spring constant k and the mass m: ω = ( k / m ) Frank L. H. Wolfs Department of Physics and Astronomy, University of Rochester Simple Harmonic Motion (SHM).

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