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Physics - SHM Question with Solution | TestHub

PhysicsSHMMiscellaneousEasy2 minPYQ_2010

PhysicsEasysingle choice

A particle is executing linear simple harmonic motion of amplitude A. At what displacement is the energy of the particle half potential and half kinetic?

Options:

Answer:

Solution:

Hints : Total Energy $(E) = \frac{1}{2} m ω^{2} A^{2}$ P.E. $= \frac{1}{2} m ω^{2} x^{2}$ As P.E. $= \frac{E}{2}$ Then, $\frac{1}{2} m ω^{2} A^{2} \times \frac{1}{2} = \frac{1}{2} m ω^{2} x^{2}$ $x^{2} = \frac{A ^{2}}{2} \Rightarrow x = \frac{A}{2}$

Stream:WBJEESubject:PhysicsTopic:SHMSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2010

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