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A particle is performing SHM. Its path l...

A particle is performing SHM. Its path length is 8 cm, amplitude is 4/1 th the path length and time period 0.2s. If the particle is initially in the mean position, the time at which it will be at 1 cm will be

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Length of path 2A= 8 cm, A= 4 cm
Periodic time `T= 4 xx A`, Time taken to cover distance A is 1 second.
`therefore T= 4xx 1 = 4s`
Maximum velocity at mean position `therefore v_("max")= A omega`
`= 4xx (2pi)/(T) = 4xx (2pi)/(4)`
`= 2pi cm s^(-1)`.
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