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2015-09-21T15:20:45+05:30

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Amplitude = A = 0.5 meters
frequency = f = 50 Hz
angular frequency = ω = 2 π f = 100 π  rad/sec
initial phase = Ф = π/2

x(t) =  A Sin (ω t + Ф)
       =  0.5 Sin (100π t + π/2)
       = 0.5 Cos (100 π t)

displacement at  t = 0, 
 x(0) = 0.5 Cos 0 = 0.5 meters.

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