A uniform thin rod of length is considered with several parallel axes all…
PHYSICS · Subjective · AP · Physics 1: Algebra-based · Torque and Rotational Dynamics · Torque and Rotational Dynamics
Problem
A uniform thin rod of length L is considered with several parallel axes all perpendicular to the rod.
(i) State the theorem that relates the moment of inertia of a body about any axis to its moment of inertia about a parallel axis through the centre of mass.
(ii) Qualitatively explain how the moment of inertia of the rod changes as the axis is shifted gradually from the centre of mass towards one end while remaining perpendicular to the rod.
(iii) Three specific axes are taken: A through the centre of the rod, B through one end of the rod, and C through a point on the line of the rod extended such that this point is at a distance L from the centre. Arrange IA,IB, and IC in increasing order and justify your answer.