A uniform rod is kept vertically on a horizontal smooth surface at a point O. If it is rotated slightly and released, it falls down on the horizontal surface. The lower end will remain _________ .

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KollegeApply · Accepted Answer

at a distance l/2 from O It is given that there is no force along x-axis. COM of rod will remain and will not shift along x-axis (horizontal direction). Force gravity is acting along y-axis (vertical direction). So, COM will shift along the y-axis by l/2 distance and COM of horizontal rod is at a distance l/2 from one end. Therefore, lower end of the rod will remain at a distance l/2 from O.

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