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BodhiAI
Oct. 31, 2019

Angular Momentum:

Angular Momentum :Ifis the linear momentum of particle and is its position vector from the point of rotation then angular momentum.

(1) S. I. Unit :kg-m2-s–1or J-sec.

(2) Dimension : [ML2T–1] and it is similar to Planck’s constant (h).

(3) In cartesian co-ordiantes if

and

Then =

(4) In case of circular motion

= mvr sin φ

  • L = mvr = mr2ω [As and v = rω]

orL = Iω [As mr2 = I]

In vector form

(5) From ∴  =

[As and ]

(6) If a large torque acts on a particle for a small time then 'angular impulse' of torque is given by

Or Angular impulse

Angular impulse = Charge in angular momentum

(7) The angular momentum of a system of particles is equal to the vector sum of angular momentum of each particle i.e.,