The total mechanical energy of a spring-mass system in simple harmonic motion is 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

Total mechanical energy of a spring-mass system of mass m and angular frequency ω in simple harmonic motion is


According to question, the mass become twice. Hence,


New mass m’=2m and angular frequency ω will be


Therefore, the new mechanical energy (E’) will




Which is same as old Total mechanical energy.


Note: k does not changes as spring used for both are same.

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