The figure shows a uniform rod lying along the -axis. The locus of all the points lying on the  plane, about which the moment of inertia of the rod is same as that , is a) Anellipse b) A circle c) A parabola d) A straight line

Question ID - 100196 :- The figure shows a uniform rod lying along the -axis. The locus of all the points lying on the  plane, about which the moment of inertia of the rod is same as that , is a) Anellipse b) A circle c) A parabola d) A straight line

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(b)

Let us take any point  on  plane. The MI of the rod about  is

Hence ,

Applying  we get an equation of a circle

Next Question :

A cord is wrapped on a pulley (disk) of mass  and radius as shown in Figure. To one end of the cord, a block of mass  is connected as shown and to other end in (a) a force of 2  and in (b) a block of mass .Let angular acceleration of the disk in and is and , respectively, then (cord is not slipping on the pulley)

 a) b) c) d) None of these