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Rotetional Motion

Q- A uniform square lamina ABCD of mass m and side 2a is free to rotate about a horizontal axis thru A. The axis is perpendicular to the plane of lamina. The lamina is in equilibrium with C vertically below A when it is given an angular speed 2(g/a)^1/2 show that the lamina will perform complete revolutions and find the horizontal and vertical components of the reaction at A(a) when AC is horizontal (b) when C is vertically above A.

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