A rod of length \( L \) is held vertically on a smooth horizontal surface. The top end of the ro...

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A rod of length \( L \) is held vertically on a smooth horizontal surface. The top end of the rod is given a gentle push. At a certain instant of time, when the rod makes an angle \( 37^{\circ} \) with horizontal the velocity of COM of the rod is \( 2 \mathrm{~ms}^{-1} \). The velocity of the end of the rod in contact with the surface at that instant is
(1) \( 2 \mathrm{~m} \mathrm{~s}^{-1} \)
(2) \( 1 \mathrm{~ms}^{-1} \)
(3) \( 4 \mathrm{~ms}^{-1} \)
(4) \( 1.5 \mathrm{~m} \mathrm{~s}^{-1} \)
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