Angular Momentum
Introduction: we have studied that any object having mass m moving with a velocity 'v' have linear momentum P = mv . Angular momentum is rotational analogous of linear momentum. Let us study it in detail in this topic.
The moment of linear momentum is called as angular momentum.
mathematically,
L = r x P --(A)
Where L =angular momentum
r = position vector
P = linear momentum
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| Figure A |
Consider a rigid body rotating about an axis perpendicular to the plane with constant angular velocity ω. Let this body is made up of n numbers of particles of masses m1,m2,m3,mn at respective perpendicular distances r1,r2,r3,rn from axis of rotation. When the body rotates each particle rotates with same angular velocity ω and different linear velocity v1,v2,v3,vn.
Related topics : Rotational dynamics Uniform circular motion Centripetal force vehicle on horizontal curve road well of death banking of road vertical circular motion conical pendulum kinetic energy of rotating body moment of inertia parallel axis theorem perpendicular axis theorem application of moment of inertia Angular momentum torque conservation of angular momentum
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