1.2.3 Velocity LO (f)
From x = xo sin ω t
differentiating we get
where v0 = x0 ω is the maximum velocity
Variation with time of velocity
In terms of x:
From mathematical identity cos2 ωt + sin2 ωt = 1,
cos2 ωt = 1 - sin2 ωt
v = x0ω cos ωt
where x0 is the maximum displacement
Variation with displacement of velocity
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