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PHYSICS 002C Lecture 03

PHYSICS 002C Lecture 03 - PHYSICS 002C Lecture 03 Serway...

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PHYSICS 002C Lecture 03 April 03, 2009 Serway and Jewett Chapter 12 – Oscillatory Motion Office hours for Prof. Mills: After class on the way to my office Physics 3023, + e-mail + see if I am not busy. Review - Chap 12.1,2 Motion of a particle on a spring: Hooke’s law : kx F s - = Combine Hooke’s law and Newton’s 2 nd law to get x dt x d 2 2 2 / ϖ - = , where m k / 2 = ϖ Solution: ) cos( φ ϖ + = t A x harmonic ” = sinusoidal motion, a consequence of Hooke’s law. “ simple ” = only one mode is excited. Review - Chap 12.3 Energy of simple harmonic motion 2 2 1 mv K = ; 2 2 1 kx U = ; 2 2 1 kA E = ; ) ( 2 2 2 1 2 2 1 x A k mv - = ; ) ( 2 2 x A v - ± = ϖ Q: What is the frequency of the DEMO oscillator with k = 10 N/m and m = 0.5 kg? a) 700 Hz, b) 70 mHz, c) 70 kHz, d) 0.7 Hz; e) 7 Hz. Chap 12.4 Simple pendulum – Angular frequency for small amplitudes is l g / = ϖ , analogous to m k / = ϖ . The restoring force is provided by gravity or the spring; resisting the motion is the length of the pendulum or the mass. The frequency squared is the ratio of the restoring tendency to the inertial resistance to that tendency.
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