Rotational MotionHard
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
Create a free account to view solution
View Solution FreeMore Rotational Motion Questions
When constant torque is acting on a body then :-...A small mass m is attached to a massless string whose other end is fixed at P as shown in the figure. The mass is underg...A thin uniform rod of mass m and length l is free to rotate about its upper end. When it is at rest, it receives an impu...A stone is tied to a string and is rotated round the finger and is then released. The string wrapps around the finger, t...Two identical discs of same radius R are rotating about their axes inopposite directions with the same constant angular ...