IGNOU MPH 6 2026 - Obtain the expression for the rotational kinetic energy of a rigid bod

Question

Obtain the expression for the rotational kinetic energy of a rigid body when the rotation is referred to its principal axes of inertia, for a spherical top (a uniform solid sphere).

19 Jan 2026

Answer :

Word Count : 219

For a rigid body rotating about its principal axes of inertia, the rotational kinetic energy is given by [ T = \frac{1}{2}\left(I_1 \omega_1^2 + I_2 \omega_2^2 + I_3 \omega_3^2\right) ] where (I_1, I_2, I_3) are the principal moments of inertia about the principal axes, and (\omega_1, \omega_2, \omega_3) are the components of angular velocity along these axes. For a spherical top (uniform solid sphere), the body is symmetric in all directions, so all principal moments of inertia are equal: [ I_1 = I_2

___ _____ ________ ________ ____ ________ ________ ______ ______.
__________ ____ ________ _____ ______ ________ ________ ____ ______ ______ ______ __________.
_____ ______ _________ ________ ___ ___ ______ ___ ____.
_____ ______ __________ __________ _____ ______ ___.
________ ___ _________ ________ ____.
_______ _____ _______ __________ _______ _______.
_____ ___ ________ _____ ___.
________ ___ ____ _______ ___.
_____ ___ ______ __________ ___.
_____ ______ _______ ____ ___ ___ ____ ______ _________ ______.
______ ________ ___ _____ _________ ______ ___ ________ ___ ____.
______ ____ ____ __________ ____ ____ ________ _____ _________ _____ _____ _________.
_______ ____ _______ _______ _____ ___ _____ __________ _________ ________ ____ _________.
_______ __________ _________ _________ ___ ____ __________ ____ ____.
___ ________ ______ ______ ___.
_______ ______ ______ ______ __________.
____ ________ ________ ________ _______ ___ _________ ___ ___.
_______.

IGNOU ACADEMY

Your IGNOU journey, made easier.

Solved Assignments
Study Notes
Guess Papers
Question Papers

Call Us WhatsApp

STUDY • PREPARE • SUCCEED

Skip in 10

IGNOU Solved Assignments Assignments Ignou Projects Project Previous Year Solved Exam Papers Notes Notes Sample Question Papers Sample Question Papers