In the arrangement, spring constant \( \mathrm{k} \) has value \( 2 \mathrm{Nm}^{-1} \), mass \(...

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In the arrangement, spring constant \( \mathrm{k} \) has value \( 2 \mathrm{Nm}^{-1} \), mass \( \mathrm{M}=3 \mathrm{~kg} \) and mass \( \mathrm{m}=1 \mathrm{~kg} \). Mass
\( P \) \( \mathrm{M} \) is in contact with a smooth surface. The W. coefficient of friction between two blocks is \( 0.1 \) and amplitud of oscillation is \( 10 \mathrm{~cm} \). The time period of SHM executed by the system is:-
(1) \( \pi \sqrt{6} \)
(2) \( \pi \sqrt{2} \)
(3) \( 2 \sqrt{2} \pi \)
(4) \( 2 \pi \)
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