Summary

The angular momentum of a system of particles is denoted by

Consider a rigid body rotating about a fixed z-axis. Let the position vector of i-th particle be**r**_{i} and its linear momentum be** p**_{i}. Its angular momentum about the origin is denoted by

In general, for a rigid body rotating about a fixed axis, its angular momentum L does not lie along the axis of rotation. It can be shown that for a rigid body that is symmetrical about the axis of rotation, the angular momentum is along its axis of rotation.

If the external torque is zero, then

Therefore, we get L_{z} or IÏ‰ as constant. This is the Law of Conservation of Angular Momentum pertaining to rotation about a fixed axis. It states that in the absence of net external torque, the total angular momentum of the system remains conserved.

Consider a rigid body rotating about a fixed z-axis. Let the position vector of i-th particle be

In general, for a rigid body rotating about a fixed axis, its angular momentum L does not lie along the axis of rotation. It can be shown that for a rigid body that is symmetrical about the axis of rotation, the angular momentum is along its axis of rotation.

If the external torque is zero, then

Therefore, we get L

The angular momentum of a system of particles is denoted by

Consider a rigid body rotating about a fixed z-axis. Let the position vector of i-th particle be**r**_{i} and its linear momentum be** p**_{i}. Its angular momentum about the origin is denoted by

In general, for a rigid body rotating about a fixed axis, its angular momentum L does not lie along the axis of rotation. It can be shown that for a rigid body that is symmetrical about the axis of rotation, the angular momentum is along its axis of rotation.

If the external torque is zero, then

Therefore, we get L_{z} or IÏ‰ as constant. This is the Law of Conservation of Angular Momentum pertaining to rotation about a fixed axis. It states that in the absence of net external torque, the total angular momentum of the system remains conserved.

Consider a rigid body rotating about a fixed z-axis. Let the position vector of i-th particle be

In general, for a rigid body rotating about a fixed axis, its angular momentum L does not lie along the axis of rotation. It can be shown that for a rigid body that is symmetrical about the axis of rotation, the angular momentum is along its axis of rotation.

If the external torque is zero, then

Therefore, we get L