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The equation of a particle executing sim...

The equation of a particle executing simple harmonic motion is `x=(5m)sin[(pis^-1)t+pi/3].` Write down the amplitude time period and maximum speed. Also find the velocity at t=1s.

Text Solution

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Comparing with equation `x = Asin (omegat + delta)`.
we see that amplitude `= 5 m`, and the period `= (2pi)/(omega) = (2pi)/(pis^(-1)) = 2s`.
The velocity at time `t = (dx)/(dt) = Aomegacos(omegat + delta)`
At `t = 1 s`,
`v = (5m)(pis^(-1))cos(pi + (pi)/(3)) = -(5pi)/(2) m//s`
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