Amplitude of a mass-spring system, which is executing simple harmonic motion decreases with time....

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Amplitude of a mass-spring system, which is executing simple harmonic motion decreases with
\( \mathrm{P} \)
time. If mass \( =500 \mathrm{~g} \), Decay constant \( =20 \mathrm{~g} / \mathrm{s} \) then
W
how much time is required for the amplitude of the system to drop half of its initial value?
\[
(\ln 2=0.693)
\]
(1) \( 17.32 \mathrm{~s} \)
(2) \( 34.65 \mathrm{~s} \)
(3) \( 0.034 \mathrm{~s} \)
(4) \( 15.01 \mathrm{~s} \)


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