Question

The locus of the moment of inertia about inclined axis to the principal axis is

Answer 1

Answer:

The locus of the moment of inertia about inclined axes to the principal axis, is

[A]. straight line

[B]. parabola

[C]. circle

[D].

ellipse. @

Answer: Option D

Answer 2

Answer: Ellipse

Explanation:

With the help of some complicated analysis of classical mechanics and rigid body motion, it can be shown that the moment of inertia about an inclined axis to the principal axis forms an ellipsoid known as an Ellipsoid of Inertia. An ellipsoid is a 3-dimensional figure, so its projection locus is 2-dimension and will certainly form an ellipse.

That’s whys the moment of inertia about an inclined axis to the principal axis is an ellipse.