PHYS 1003 Lecture Notes - Lecture 18: Angular Velocity, Gyroscope, Moment Of Inertia
26 Dec 2017
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Document Summary
Net torque on a rotating body as the rate of change of angular momentum where l must be measured relative to the same origin. The torque and angular momentum vectors must point in the same direction. The total angular momentum of a system is a vector sum of individual angular momentum (can be zero if cancelled out) By convention, we take the rotation axis as the z-axis. If no external torques act, then angular momentum of a rotating system must be conserved and maintained in all directions. Such as a gyroscope since torque would make it fall over but by having rotation in z and x axis, then momentum is conserved. A large rotational inertia means (mass distributed far away), small angular velocity. A small rotational inertia means (mass distributed closely), large angular velocity (such as spinning ice skater)
