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The total mechanical energy of a spring - mass system in simple harmonic motion is E = 1/2 m w^2 .A^2. Suppose the oscillating particle is replaced by another particle of double the mass whilw thw amplitude remains the same .the new mechanical energy will be--

The total mechanical energy of a spring-mass system in simple harmonic motion is E = 1/2 m w^2 .A^2.Suppose the oscillating particle is replaced by another particle of double the mass whilw thw amplitude remains the same .the new mechanical energy will be--

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2 Answers

Abhishek Kumar
askIITians Faculty 253 Points
6 years ago
Here, mass becomes double, but angular frequency is also affected, which depends on mass.
Angular frequency becomes \sqrt{2} times.
So, Net change = 4 times.
salma
11 Points
3 years ago
it will remain the same because the frequancy will decrease by 2 and the mass increase by 2 so the net change is zero

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