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Review Exam 1. Simple Harmonic Motion 11-1 Simple Harmonic Motion The force exerted by the spring depends on the displacement: (11-1)

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Presentation on theme: "Review Exam 1. Simple Harmonic Motion 11-1 Simple Harmonic Motion The force exerted by the spring depends on the displacement: (11-1)"— Presentation transcript:

1 Review Exam 1

2 Simple Harmonic Motion

3 11-1 Simple Harmonic Motion The force exerted by the spring depends on the displacement: (11-1)

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5 11-2 Energy in the Simple Harmonic Oscillator We already know that the potential energy of a spring is given by: The total mechanical energy is then: (11-3) The total mechanical energy will be conserved, as we are assuming the system is frictionless.

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8 11-2 Energy in the Simple Harmonic Oscillator The total energy is And we can write: (11-4c) This can be solved for the velocity as a function of position: (11-5) where

9 11-3 The Period and Sinusoidal Nature of SHM (11-7a) (11-7b)

10 11-4 The Simple Pendulum Therefore, for small angles, we have: where The period and frequency are: (11-11a) (11-11b)

11 Harmonic Disturbance

12 11-7 Wave Motion Wave characteristics: Amplitude, A Wavelength, λ Frequency f and period T Wave velocity (11-12)

13 Waves on a String

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15 Guitar String

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18 Loud Quiet http://library.thinkquest.org/19537/cgi-bin/showharm.cgi #

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21 Both Source and Observer Moving

22 Exam 5 problems 3 Qualitative (30 points) 2 Quantitative (70 points) Suggestions – Read problem carefully – Underline important stuff, cross out extraneous stuff – Outline solution if out of time – If you think you need a quantity that doesn’t appear to you to be there, make one up. – Study Equation Sheet.


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