A particle is making simple harmonic motion along the X -axis. If at a distances x 1 and x 2 from the mean position the velocities of the particle are v 1 and v 2 , respectively. The time period of it

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A particle is making simple harmonic motion along the X -axis. If at a distances x 1 and x 2 from the mean position the velocities of the particle are v 1 and v 2 , respectively. The time period of its oscillation is given as:

TestHub · Accepted Answer

v 2 = ω 2 A 2 - x 2 A 2 = x 1 2 + v 1 2 ω 2 = x 2 2 + v 2 2 ω 2 ω 2 = v 2 2 - v 1 2 x 1 2 - x 2 2 T = 2 π x 1 2 - x 2 2 v 2 2 - v 1 2

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