In simple harmonic motion, the total mechanical energy of a given system is E. If the mass of oscillating particle P is doubled, then the new energy of the system for same amplitude is

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Solution

Q.
In simple harmonic motion, the total mechanical energy of a given system is E. If the mass of oscillating particle P is doubled, then the new energy of the system for same amplitude is [2024]

1 $E \sqrt{2}$

2 $E$

3 $2 E$

4 $E / \sqrt{2}$

Ans.
(2)

Total energy $E = K E + P E$

$E = \frac{1}{2} m ω^{2} (A^{2} - x^{2}) + \frac{1}{2} m ω^{2} x^{2}$

$E = \frac{1}{2} k A^{2}, since A is same, T . E . will be same$

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