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Unformatted text preview: Lecture 24 pls-24.1 Damped and Driven Harmonic Motion Media: 1. Block on spring, rubber band / equipment to measure motion 2. Resonance Demos A. tuning fork near tuned Helmholtz resonator B. hoop on shaker C. Chladni plates D. organ pipes E. membrane pipes F. rotating tubes G. singing pipes H. Tacoma Narrows Bridge video Clicker questions 1 and 2. 1. Harmonic Oscillator Ns 2nd for harmonic oscillator: x k ma = Motion is harmonic: ( ) ( ) t A x t x eq cos = T f 2 2 = = spring force = net F eq x k m x + no friction or drag angular frequency frequency period: time for the motion to repeat amplitude Lecture 24 pls-24.2 2. Damped Harmonic Oscillator (DHO) The DHO is an HO with a dissipative force v b (linear drag) added in. (A dissipative force is any force that converts (coherent) mechanical energy ME into (incoherent) internal energy associated with the motion of atoms. Kinetic friction is one such force.) For a block on a spring, this dissipative force is due to internal friction...
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This note was uploaded on 03/26/2012 for the course PHY 1020 taught by Professor Kodera during the Fall '11 term at University of Florida.
- Fall '11