The graph shows the x-displacement as a function of time for a particular object undergoing simple harmonic motion. This function can be described by the following formula: x(t) = Acos(ωt+φ) where x and A are measured in meters, t is measured in seconds, ω is measured in 1/s and φ is measured in radians. A=2.90m, T=4.00s, ω=1.57 1/s, f=2.50*10^-1 Hz Determine the phase constant i.e. find the smallest positive value for φ.

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The graph shows the x-displacement as a function of time for a particular object undergoing simple harmonic motion. This function can be described by the following formula:
x(t) = Acos(ωt+φ)
where x and are measured in meters, t is measured in seconds, ω is measured in 1/s and φ is measured in radians.

A=2.90m, T=4.00s, ω=1.57 1/s, f=2.50*10^-1 Hz

Determine the phase constant i.e. find the smallest positive value for φ.

x_(m)
35
2.5
2
1.5
1
0.5
.
-0.5
-1
-1.5
-2
-2.5
-3
ܗ ܗ
-8 -7 -6 -5 -4 -3 -2 -1
t
0 1 2 3 4 5 6 7 8
(s)
Transcribed Image Text:x_(m) 35 2.5 2 1.5 1 0.5 . -0.5 -1 -1.5 -2 -2.5 -3 ܗ ܗ -8 -7 -6 -5 -4 -3 -2 -1 t 0 1 2 3 4 5 6 7 8 (s)
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