Two uniform thin identical rods of mass M and length l are joined together to form a cross. What would be the moment of inertia of the cross about one of the rod at its axis?
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Consider the line perpendicular to the plane of the figure through the centre of the cross. The moment of inertia of each rod about this line (say about z- axis) I′=Ml2/12. Hence the moments of inertia of the cross Iz=2Iz′=Ml2/6.
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