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x
X=0
FF F F
x=0x
x=0
x
By Svjo - Own work, CC BY-SA 3.0, https://commons.wikimedia.org/w/index.php?curid=25707677
x=-A x=+A
x=-A
x=+A
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For φ = 0
Note that the functions sin and cos repeat every 2π. The argument of these functions is called the phase.
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What if we want a sine function, but would like it to start at ¼ π instead of zero?
What if we want a sine function, but would like it to start at -¼ π instead of zero?
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For φ = 0
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• ω•
ω π
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No gravity…
θℓ
mg
y
xs
For small θ:
• θ
• θ
θ
θℓ
mg
y
xs
For small θ:
•π
•π
• θ
π
rθ
s
θℓ
mg
y
xs
For small θ:
Same form as mass-spring!
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