The density of a rod of length l varies linearly with position along its length, such that it increases to thrice its value from one end to the other. This rod is placed on a frictionless horizontal surface and a horizontal force of magnitude f is applied to a point on the rod. At what point should this force be applied such that the rod slides on the surface without rotating?
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If the linear density of a rod of length L varies as lambda = A + Bx, determine the position of its centre of mass. ... (where x is the distance from one of its ends).
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