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 O -10.0 5.0 From the graph, obtain the following quantities: a. the period T; b. the frequency f C. the angular frequency w; d. the amplitude A: 10.0 15.0 t (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)
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)
Transcribed Image Text: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)
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