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Simple Harmonic Motion
Solution 1
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a. Amplitude
 
This can be found directly off the equation itself. This equation follows the  y=Asin(ωt) format, so we can read that the amplitude is
 
2.00 cm
 
 
b. Period
 
Remember that ω=2π/T
                      so: 10 = 2π/T
                               T = 10/2π
 
T = 0.628s
 
 
c. Maximum Speed 
 
The amplitude of the v(t) function determines the maximum speed.
v(t) = -Aωcos(ωt)
 
so:
 
vmax = Aω
        = (2.00cm)(10rad/s)
        = 20.0 cm/s 

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Alesa Rabson & Maria Forero - Simple Harmonic Motion