A thin and uniform rod of mass and length is held vertical on a floor with large friction

PHYSICS · Single correct · A Level · Physics · Engineering physics · Engineering physics

Problem

A thin and uniform rod of mass MM and length LL is held vertical on a floor with large friction. The rod is released from rest so that it falls by rotating about its contact point with the floor without slipping. Which of the following statement(s) is/are correct, when the rod makes an angle 60∘60^\circ with vertical ? [Adv. 2019] [g is the acceleration due to gravity] (1) The angular speed of the rod will be 3g2L\sqrt{\frac{3g}{2L}} (2) The radial acceleration of the rod's center of mass will be 3g4\frac{3g}{4} (3) The normal reaction force from the floor on the rod will be Mg16\frac{Mg}{16} (4) The angular acceleration of the rod will be 2gL\frac{2g}{L}

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