Abstract

This chapter provides an overview of the motion of a rigid body around a fixed axis. The relation between the distortion of bodies and the forces that they transmit in consequence belongs to the subject of elasticity. Just as the mass of a body is measured by the ratio of the applied force to the resulting linear acceleration, so the moment of inertia is measured by the ratio of the applied torque to the resulting angular acceleration. The moment of inertia must always refer to a particular axis, and in the equation for angular motion, the axis around which the torque is taken must be the same axis for which the moment of inertia is measured. The chapter presents an evaluation of the moment of inertia for some simple figures. The physical concept of the moment of inertia is a property of a body, with respect to a given axis, by which it resists changes in its rotational motion round that axis.

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