Physics · Mechanical Vibrations

In an under-damped vibrating system, if X1 and X2 are successive values of the amplitude on the same side of the mean position, then the logarithmic decrement (δ) is equal to:

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1ln(X2 / X1)
2ln(X2 + X1)
3ln(X2 - X1)
4ln(X1 / X2)✓

Correct answer

ln(X1 / X2)

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In an under-damped vibrating system, if X1 and X2 are successive values of the amplitude on the same side of the mean position, then the logarithmic decrement (δ) is equal to:

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In an under-damped vibrating system, if X1 and X2 are successive values of the amplitude on the same side of the mean position, then the logarithmic decrement (δ) is equal to:

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