# Lecture21 - PHYSICS 231 INTRODUCTORY PHYSICS I Lecture 21...

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PHYSICS 231 INTRODUCTORY PHYSICS I Lecture 21

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Simple Harmonic Motion ! , f, T determined by mass and spring constant A, " determined by initial conditions: x (0), v (0) Last Lecture f = 1 T = 2 f = 2 T x = A cos( t "# ) v = "! A sin( t "# ) a = "! 2 A (cos t "# ) = k m
Example 13.3 A 36-kg block is attached to a spring of constant k=600 N/m. The block is pulled 3.5 cm away from its equilibrium position and is pushed so that is has an initial velocity of 5.0 cm/s at t=0. a) What is the position of the block at t=0.75 seconds? a) -3.39 cm

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Example 13.4a An object undergoing simple harmonic motion follows the expression, x ( t ) = 4 + 2cos[ ! ( t " 3)] The amplitude of the motion is: a) 1 cm b) 2 cm c) 3 cm d) 4 cm e) -4 cm Where x will be in cm if t is in seconds
Example 13.4b An object undergoing simple harmonic motion follows the expression, x ( t ) = 4 + 2cos[ ! ( t " 3)] The period of the motion is: a) 1/3 s b) 1/2 s c) 1 s d) 2 s e) 2/ ! s Here, x will be in cm if t is in seconds

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Example 13.4c An object undergoing simple harmonic motion follows the expression, x ( t ) = 4 + 2cos[ ! ( t " 3)] The frequency of the motion is: a) 1/3 Hz b) 1/2 Hz c) 1 Hz d) 2 Hz e) ! Hz Here, x will be in cm if t is in seconds
Example 13.4d An object undergoing simple harmonic motion follows the expression, x ( t ) = 4 + 2cos[ ! ( t " 3)] The angular frequency of the motion is: a) 1/3 rad/s b) 1/2 rad/s c) 1 rad/s d) 2 rad/s e) ! rad/s Here, x will be in cm if t is in seconds

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Example 13.4e An object undergoing simple harmonic motion follows the
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## This note was uploaded on 07/25/2008 for the course PHY 231 taught by Professor Smith during the Spring '08 term at Michigan State University.

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Lecture21 - PHYSICS 231 INTRODUCTORY PHYSICS I Lecture 21...

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