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Statement of a problem № 3273

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A uniform rod of mass m and length 2a is placed vertically with one end in contact with a smooth horizontal floor. When it is given a small displacement, it falls. Show that when the rod is about to strike, the reaction is equal to mg/4. [courtesy from R.W. Norris and W. Seymour, Mechanics via Calculus, Longmans & Co.]

Solution:
A uniform rod of mass m and length 2a is placed vertically with one end in conta

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