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Questions  

The figure shows a uniform rod lying along the X-axis. The locus of all the points lying on the XY-plane, about which the moment of inertia of the rod is same as that about O is

a
an ellipse
b
a circle
c
a parabola
d
a straight line

detailed solution

Correct option is B

If the axis passes through the point (x,y) , then m[x-l22+y2 ]+112ml2=13ml2  ⇒x-l22+y2=l22 , which represents a circle of radius l2 with its centre at  l2,0.

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The moment of inertia of a thin uniform rod of mass M and length L about an axis passing through its mid-point and perpendicular to its length is I0 , Its moment of inertia about an axis passing through one of its ends and perpendicular to its length is


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