35-oscillations II

35-oscillations II - Phys 211 Chapter 15 Oscillations...

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Phys 211 4/22/09 Chapter 15 Oscillations
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Review - SHM x ( t ) = x m cos( ω t + φ ) v ( t ) = −ω x m sin( t + ) a ( t ) = −ω 2 x m cos( t + ) Displacement Velocity Acceleration Hooke’s Law F ( t ) = ma ( t ) = m 2 x ( t ) = kx ( t ) = k m v max = x m a max = 2 x m = 2 π T = 2 f Parameters
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Simple Harmonic Motion A mass on a spring in SHM has an amplitude x m and a period T. How long does it take for the mass to travel a distance of 6x m ? 1) 1/2 T 2) 3/4 T 3) 1 1/4 T 4) 1 1/2 T 5) 2 T
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Example Calculate the angular frequency, frequency, and period for the motion of a mass of 680 g connected to a spring with a constant k=65 N/m. ω = k m = 65 N / m 0.680 kg = 9.78 ( radians ) s 1 Angular Frequency f = 2 π = 9.78 ( radians ) s 1 2 ( radians ) = 1.56 s 1 = 1.56 Hz Frequency T = 1 f = 1 1.56 s 1 = 0.64 s Period
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Example Continued. .. Calculate the maximum speed, the maximum acceleration and the
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This note was uploaded on 10/03/2011 for the course PHYS 211 taught by Professor Pettie during the Spring '08 term at South Carolina.

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35-oscillations II - Phys 211 Chapter 15 Oscillations...

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