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Phase constant of SHM 
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#1
Oct2611, 02:21 PM

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1. The problem statement, all variables and given/known data
The displacement of a mass oscillating on a spring is given by x(t) = xmcos(ωt + ). If the initial displacement is zero and the initial velocity is in the negative x direction, then the phase constant is: 2. Relevant equations 3. The attempt at a solution How do I start? The book just tells me that the phase constant depends on displacement and velocity when t = 0, but doesn't say how. 


#2
Oct2611, 03:28 PM

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P: 11,683

Sketch a cosine curve. What's its initial value? Where on the curve would match the initial condition of the spring and mass? What's (angular) the offset from zero?



#4
Oct2611, 04:57 PM

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P: 11,683

Phase constant of SHM
Does the mass start at a maximum extension like the cosine function does?



#5
Oct2611, 05:04 PM

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No, initial displacement is 0. So, I need to find where cosx equals 0?



#6
Oct2611, 05:13 PM

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#8
Nov911, 07:17 PM

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P: 11,683

Have a gander:



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