Angular Momentum

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

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,m_2,m₃,m_n at respective perpendicular distances r₁,r_2,r_3,r_n from axis of rotation. When the body rotates each particle rotates with same angular velocity ω and different linear  velocity  v₁,v_2,v₃,v_n.

│<<<Perpendicular Axis theorem││Torque>>>│

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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