A nonuniform rod OM of length 1 has linear mass density that varies with the distance x from left end of the rod according to 
; Where 
is constant, is kept along x-axis and is rotating about an axis AB, which is perpendicular to the rod as shown in the figure. What is the value of x so that moment of inertia of rod about axis AB (I AB ) is minimum?
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
D
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
When a mass is rotated in a plane about a fixed point, its angular momentum is directed along the-
A chain of mass m forming a circle of radius R is slipped on a smooth round cone with half-angle 9.…
The moment of inertia of a rigid body in terms of its angular momentum L and kinetic energy K is
A solid sphere of radius R and mass M is rolled by a force F acting at the top of the sphere as sho…
A Uniform rod AB is hinged at its end A and the other end of the rod is connected to a block throug…
A circular platform is free to rotate in a horizontal plane about a vertical axis passing through i…