A particle is performing linear SHM of amplitude what fraction of the total energy is kinetic when the displacement is half the amplitude
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Total energy of particle executing simple harmonic motion is,
E=21mω2A2
Therefore, kinetic energy at position is,
K=21mω2(A2−V2)
Kinetic energy at position half the amplitude of oscillation is,
K=21mω2[A2−(2A)2]
=21mω2(43A2)
K=43E
P.E=E−K=E−43E=4E
Ratio=EP.E=4E/4=0.25
Now, Potential energy will be 0.25 of the total energy.
Explanation:
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