AP_Physics_B-_SHM

AP_Physics_B-_SHM - SimpleHarmonicMotion AP Physics B...

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    Simple Harmonic Motion AP Physics B
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Simple Harmonic Motion Back and forth motion that is caused by a force that is directly proportional to the displacement. The displacement centers around an equilibrium position. x F s α
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Springs – Hooke’s Law One of the simplest type of simple harmonic motion is called Hooke's Law. This is primarily in reference to SPRINGS. kx or kx F k k x F s s - = = = N/m) : nit Constant(U Spring ality Proportion of Constant α The negative sign only tells us that “F” is what is called a RESTORING FORCE, in that it works in the OPPOSITE direction of the displacement.
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Hooke’s Law Common formulas which are set equal to Hooke's law are N.S.L. and weight
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Example A load of 50 N attached to a spring hanging vertically stretches the spring 5.0 cm. The spring is now placed horizontally on a table and stretched 11.0 cm. What force is required to stretch the spring this amount? = = = k k kx F s ) 05 . 0 ( 50 1000 N/m = = = s s s F F kx F ) 11 . 0 )( 1000 ( 110 N
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Hooke’s Law from a Graphical Point of View x(m) Force(N) 0 0 0.1 12 0.2 24 0.3 36 0.4 48 0.5 60 0.6 72 graph x vs. F a of Slope = = = k x F k kx F s s Suppose we had the following data: Force vs. Displacement y = 120x + 1E-14 R 2 = 1 0 10 20 30 40 50 60 70 80 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 Displacement(Meters) Force(Newtons) k =120 N/m
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We have seen F vs. x Before!!!! Force vs. Displacement
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This note was uploaded on 11/18/2011 for the course PHYS 121 taught by Professor Burgeson during the Fall '11 term at BYU.

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AP_Physics_B-_SHM - SimpleHarmonicMotion AP Physics B...

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