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The Periodic Time of a Linear Harmonic Oscillator is 2π Second, with Maximum Displacement of 1 Cm. - Physics

The periodic time of a linear harmonic oscillator is 2π second, with maximum displacement of 1 cm. If the particle starts from extreme position, find the displacement of the particle after π/3  seconds.

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Solution

Given:-

`a=1cm,t=pi/3s,omega=(2pi)/T=(2pi)/(2pi)=1`

To find: Displacement (x)

Formula: x = A cos ωt

Calculation: From formula,

`"x"=1cos(1xxpi/3)=cos(pi/3)`

`therefore"x"=0.5cm`

The displacement of the particle after π/3 seconds is 0.5 cm.

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