The given function models the displacement of an object moving in simple harmonic motion. y = 6 sin(2t) (a) Find the amplitude, period, and frequency of the motion. amplitude           period           frequency           (b) Sketch a graph of the displacement of the object over one complete period.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
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The given function models the displacement of an object moving in simple harmonic motion.

y = 6 sin(2t)
(a) Find the amplitude, period, and frequency of the motion.
amplitude    
 
 
 
period    
 
 
 
frequency    
 
 
 


(b) Sketch a graph of the displacement of the object over one complete period.
The given function models the displacement of an object moving in simple harmonic motion.
y = 6 sin(2t)
(a) Find the amplitude, period, and frequency of the motion.
amplitude
period
frequency
(b) Sketch a graph of the displacement of the object over one complete period.
y
1
nn
t
Зл
4
0-1
y
6
y
1
O-11
π
2A
Зл
AT
t
y
6-
4
Л
2A
3 A
4
3π
π
AT
t
t
Transcribed Image Text:The given function models the displacement of an object moving in simple harmonic motion. y = 6 sin(2t) (a) Find the amplitude, period, and frequency of the motion. amplitude period frequency (b) Sketch a graph of the displacement of the object over one complete period. y 1 nn t Зл 4 0-1 y 6 y 1 O-11 π 2A Зл AT t y 6- 4 Л 2A 3 A 4 3π π AT t t
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