Angular Momentum of a Particle: Angular momentum is a measure of the rotational motion of an object. For a single particle, the angular momentum is defined as the cross product of its position vector and its linear momentum vector:
L = r × p
Where,
The direction of the angular momentum vector is perpendicular to the plane formed by the position and momentum vectors, according to the right-hand rule. The magnitude of the angular momentum vector is given by:
|L| = r * p * sin(theta)
Where,
The angular momentum of a particle is conserved if the net torque acting on the particle is zero. This is known as the law of conservation of angular momentum.
The angular momentum of a particle is an important concept in physics and has many applications in various fields. Here are some of the key importance of angular momentum of a particle:
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