Rotational MotionMedium
Question
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
Options
A.an ellipse
B.a circle
C.a parabola
D.a straight line
Solution
Let consider a point (x,y). Calculate moment of inertia about point P.
Ip = M
It must be equal to
So
⇒
This is the equation of circle
Ip = M
It must be equal to
So
⇒
This is the equation of circle
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