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Phasors

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Question

The equation y=4sin(pi*t/2 + pi/3) represents the displacement of a particle executing SHM, the time period of the SHM is?

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Solution

Standard form,
y = A Sin(wt+phy)
Phy---> phase

compare it with given equation,
So,
A = 4
w=π/2
Phy =π/3

T =2π/w

T---> time period of SHM.

here, w = π/2.
So, T =2π/(π/2 ) = 4.

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