Alongside this development and refinement of the concept of force and its application to the description of motion, the concept of energy slowly emerged, culminating in the middle of the nineteenth ce...Alongside this development and refinement of the concept of force and its application to the description of motion, the concept of energy slowly emerged, culminating in the middle of the nineteenth century in the discovery of the principle of conservation of energy and its immediate applications to the laws of thermodynamics.
In Chapter 5, we studied the rotation of rigid bodies about an axis of symmetry. For these cases, we have L=Iω, where I is the moment of inertia with respect to t...In Chapter 5, we studied the rotation of rigid bodies about an axis of symmetry. For these cases, we have L=Iω, where I is the moment of inertia with respect to the rotation axis. In this section, we’ll derive the more general form, in which the number I is replaced by a 2-tensor, i.e., a map from a vector space (here R3) into itself, represented by a 3×3 matrix.
