Would a plucked guitar string vibrate for a longer time or a shorter time if the instrument had no sounding board? Why?

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter12: Oscillatory Motion
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Would a plucked guitar string vibrate for a longer time or a shorter time if the instrument had no sounding board? Why?

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