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Physics - SHM Question with Solution | TestHub

PhysicsSHMMiscellaneousHard2 minPYQ_2008

PhysicsHardsingle choice

A point performs simple harmonic oscillation of period $T$ and the equation of motion is given by $x = a sin (wt + π /6)$ . After the elapse of what fraction of the time period the velocity of the point will be equal to half of its maximum velocity?NEET 2008 (Mains)

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Answer:

Solution:

$v = ω cos (ω t + \frac{π}{6}) \Rightarrow \frac{ωa}{2} = ω cos (\frac{2 π}{T} t + \frac{π}{6}) \Rightarrow \frac{π}{3} = \frac{2 π}{T} t + \frac{π}{6} \Rightarrow t = \frac{T}{12}$

Stream:NEETSubject:PhysicsTopic:SHMSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2008

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