Lecture_9_(Student_Handout)

# Lecture_9_(Student_Handout) - PHYS 172: Modern Mechanics...

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1 Summer 2009 PHYS 172: Modern Mechanics Lecture 9 – Oscillations Read 4.14 – 4.17 Reading Quiz #1 & 2

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2 Finish Up Motion Along a Curve Today: Springs and Oscillations The Harmonic Oscillator Analytic solution Speed of Sound Fluid Systems Detailed Formulae ˆ p pp = GG ( ) net net F dt p d p dt p d p F dt p p d G G G G G = + = ˆ ˆ ˆ net F dt p d G G =
3 p Δ G p Δ & G p Δ & G p Δ G p Δ & G p G p G p G Motion Along a Curve Centripetal Force The centripetal force is simply a new name for forces already present. It is not an additional (new) force! Rather it is the label given to the force or the sum of forces that cause the circular motion

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4 CLICKER QUESTION #1 & 2 CLICKER QUESTION #3 & 4
5 Harmonic Oscillators Everywhere! acoustics telecommunications electric circuits vibration analysis particle physics superstring theory Spring-Mass System: Analytic Solution 2 2 222 () , , dp dm v d v d d r dr mm m dt dt dt dt dt dt dxdy dz m dt dt dt ⎛⎞ ≈= = = ⎜⎟ ⎝⎠ = G GG G G ,0,0 net spring table earth dp FF F F k x dt == + + = G G G x

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## This note was uploaded on 09/14/2009 for the course ENGR 126 taught by Professor Oakes during the Fall '08 term at Purdue.

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Lecture_9_(Student_Handout) - PHYS 172: Modern Mechanics...

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