Describing Simple Harmonic Motion from Graphical Analysis1. Consider the following graph of position vs. time for a horizontal spring-mass system undergoing simple har-monic motion.x (cm)10.0-10.05.0From the graph, obtain the following quantities:d. the amplitude A;e. the starting position.xo:f. the phase angle :g. the expression for the position vs. time, x();10.0 15.0t(s)

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Describing Simple Harmonic Motion from Graphical Analysis 1. Consider the following graph of position vs. time for a horizontal spring-mass system undergoing simple har- monic motion. x (cm) 10.0 IA 5.0 10.0 -10.0 From the graph, obtain the following quantities: d. the amplitude A; e. the starting position xo f. the phase angle o; g. the expression for the position vs. time, x(); 15.0 t(s)

Describing Simple Harmonic Motion from Graphical Analysis 1. Consider the following graph of position vs. time for a horizontal spring-mass system undergoing simple har- monic motion. x (cm) 10.0 IA 5.0 10.0 -10.0 From the graph, obtain the following quantities: d. the amplitude A; e. the starting position xo f. the phase angle o; g. the expression for the position vs. time, x(); 15.0 t(s)

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter12: Oscillatory Motion

Section: Chapter Questions

Problem 12OQ

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Describing Simple Harmonic Motion from Graphical Analysis 1. Consider the following graph of position vs. time for a horizontal spring-mass system undergoing simple har- monic motion. x (cm) IVA C. d. -10.0 From the graph, obtain the following quantities: a. the period T; b. the frequency f; the angular frequency ; the amplitude A; the starting position xo; e. f. the phase angle p; g. the expression for the position vs. time, x(t); h. the expression for the velocity vs. time, v(t); i. the expression for the acceleration vs. time, a(t); j. (if the point mass is 0.200 kg) the spring constant k. t (s)
1. Find the amplitude, period, and phase shift of the function. Graph the function. Be sure to label key points. Show at least two periods. y=4 sin (2x-x) What is the amplitude? (Simplify your answer. Type an exact answer, using x as needed. Use integers or fractions for any numbers in the expression.) What is the period? (Simplify your answer. Type an exact answer, using x as needed. Use integers or fractions for any numbers in the expression.) What is the phase shift? (Simplify your answer. Type an exact answer, using x as needed. Use integers or fractions for any numbers in the expression.) Use the graphing tool to graph the function. (For any answer boxes shown with the grapher, type an exact answer. Type the word pi to insert the symbol I as needed.)
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