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Physics - SHM Question with Solution | TestHub

PhysicsSHMMiscellaneousMedium2 minPYQ_2021

PhysicsMediumsingle choice

A particle executes S.H.M. of period $\frac{2 π}{3} sec$ along a straight line $4 cm$ long. The displacement of the particle at which the velocity is numerically equal to the acceleration is

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Answer:

Solution:

Acceleration, $a = ω^{2} x$ Velocity, $v = ω A^{2} - x^{2}$ $ω^{2} x = ω A^{2} - x^{2} ω^{2} x^{2} = A^{2} - x^{2} 3 x^{2} = A^{2} - x^{2} (∴ ω = \frac{2 π}{T} = 3) 4 x^{2} = A^{2} x = \frac{A}{2} = \frac{2}{2} = 1 cm$

Stream:MHT_CETSubject:PhysicsTopic:SHMSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2021

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