27 - Simple Harmonic Oscillation

27 - Simple Harmonic Oscillation - Simple harmonic motion...

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Simple harmonic motion For next time: Read: Chapter 15.5-15.7 Homework: Chapter 15: 10, 12, 16
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Remember: Hooke's law F = - -k x F O R C E S PR I N G T AN D P L A ME
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Hooke’s law demo Spring with different size masses find linear relationship between force and displacement , that is Hooke’s law
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Force constant “k” • Tells us how “stiff” the spring is. •S t iff spr ing Æ large k • Units: N/m (“Newton per Meter”) • minus sign just tells us that the force opposes the displacement
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SHM characterized by: • Timing – Period ( T ): How long it takes to go through one cycle (s) – Frequency ( f ): Number of cycles in a second • Amplitude ( A ) – Max distance from equilibrium
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Just think about this: A block on a spring bounces up and down every 0.25 seconds. How many times does it bounce up and down in one second? T = 0.25 s f = 4 times per second f = 4 Hz (Hertz) or 1 f T = 1 T f =
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A block hangs from a spring and is pulled down 10 cm and released. It bounces up and down at a rate of 3 times every second (frequency). How could this rate be increased ?
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This note was uploaded on 04/13/2008 for the course PHYS 211 taught by Professor Shannon during the Spring '08 term at MSU Bozeman.

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27 - Simple Harmonic Oscillation - Simple harmonic motion...

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