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Physics - SHM Question with Solution | TestHub

PhysicsSHMOscillations and SHMMedium2 min

PhysicsMediumsingle choice

At a given instant the displacement of a particle from the equilibrium position is $x$ and it is moving away from $O$ with speed $v$ . The particle next reaches $O$ after a time $t = ?$ ( $ω$ is the angular frequency).

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Answer:

Solution:

Let $tan θ = ω x / v$ with $θ$ the phase from $O$ . It goes out to the extreme and returns: phase swept = $π - 2 θ$ . So $t = \frac{1}{ω} (π - 2 tan^{- 1} \frac{ω x}{v})$ .

Subject:PhysicsTopic:SHMSubtopic:Oscillations and SHM

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