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Physics - SHM Question with Solution | TestHub

PhysicsSHMEnergyMedium2 minQB

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The total mechanical energy of a spring-mass system in simple harmonic motion is $E = \frac{1}{2} m ω^{2} A^{2}$ . Suppose the oscillating particle is replaced by another particle of double the mass while the amplitude $A$ remains the same. The new mechanical energy will

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Answer:

Solution:

$ω^{2} = \frac{k}{m}$

$E = \frac{1}{2} m \frac{k}{m} A^{2}$

$E = \frac{1}{2} k A^{2}$

Energy depends on the spring constant and amplitude, not the mass.

Stream:JEESubject:PhysicsTopic:SHMSubtopic:Energy

⏱ 2mℹ️ Source: QB

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