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28lecture2a08

# 28lecture2a08 - Physics 2A Lecture 28 Mar 12 Vivek Sharma...

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Physics 2A Lecture 28: Mar 12 Vivek Sharma UCSD Physics

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Examples Of Simple Harmonic Motion Simple harmonic motion is an important idealization of many phenomenon in nature! From the very small (molecules) to celestial objects
Description of SHM

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Circular Motion & Stretched Spring: Examples of SHM displacement Vs time
SHM Is Periodic Motion Angular Frequency Frequency 2 12 Time Period T= f Amplitude A = Max. displacement f ω π = = Phase : what point in the cycle, the motion was at t=0 φ

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Displacement, Velocity & Acceleration x = Acos( t+ φ ) =Asin( t+ φ +) 2 ω π dx v= = - Asin( t+ φ ) dt ωω 2 2 dv a= = - Acos( t+ φ ) dt =- x
Phase Angle & Amplitude In SHM 0 0x 0x 0 At time t =0: x cos & v v arctan( ) x sin A A φ ω = = =− 2 22 2 2 2 2 2 2 2 x0 2 00 0 2 Using si v ampl cos , sin itude A= x + ω nc o s 1 x xA v A φφ ωφ += ==

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Simple Harmonic Oscillator Angular frequency Frequency 2 12 Time Period T= 2 f 1 2 k m k m m k f ω π = = = = = - kx F= k kx ma a x m −= = 22 For SMH: a = - k x m ωω⇒=
Energy In Ideal Simple Harmonic Oscillator

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28lecture2a08 - Physics 2A Lecture 28 Mar 12 Vivek Sharma...

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