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Law of conservation of angular momentum

Newton’s second law for rotational motion, 43476.png
 
So, if the net external torque on a particle (or system) is zero, then 43470.png
 
i.e., 43464.png = constant
 
Angular momentum of a system (may be particle or body) remains constant if resultant torque acting on it is zero.
 
As L = , so if 43458.png then = constant ⇒ I1/ω.
 
Since angular momentum remains constant, so when I decreases, angular velocity ω increases and vice versa.




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