Engineering Mechanics
Engineering Mechanics. Instructor: Professor Manoj K Harbola, Department of Physics, IIT Kanpur. In this course, we would be studying mechanical interaction between different bodies when they interact through the forces applied on each other. Topics covered in this course include Review of Newton's laws of motion and vector algebra; Equilibrium of bodies; Plane trusses; Friction; Properties of plane surfaces; Method of virtual work; Motion of particles; Momentum; Work and energy; Rotational kinematics and dynamics; Simple harmonic oscillator; and Motion in non-inertial frames. (from nptel.ac.in)
| Lecture 73 - Infinitesimal Angles as Vector Quantities and Change of a Vector when Rotated ... |
To develop general theory of rotations of rigid bodies, we need to define quantities like angular velocity and their relationship with the angular momentum. In this lecture we show that finite angles are not vector quantities but infinitesimal angles are. This means that although finite angles are not vectors, angular velocity is a vector quantity. Furthermore it is shown that the rate of change of a rotating vector can be written as the vector product of the angular velocity and the vector.
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