State law of conservation of angular momentum
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Law of conservation of angular momentum says that when net external force or physics term torque acting on a system about it's axis becomes zero then angular momentum remains constant and matematically =constant....
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Explanation:
Laws of Conservation of angular momentum
STATEMENT: If no external torque acts on body then angular momentum of body remain constant
PROOF:
We know angular momentum
L=r×p
Differentiating both side w.r to time
dL/dt=d(r×p)/dt
dL/dt=(r×dp/dt)+(dr/dt×P)-------------------(1)
dP/dt=F,dr/dt=V
P=mV
(1) -->(r×F)+(V×mv)
dL/dt=T+m(v×v) therefore r×F=T (Torque)
dL/dt=T--------------------(2)
If T =0 then dL/dt=0 i.e.L=Constant body the angular momentum of body is Constant
EXPLANATION:HOPE IT HELPFUL
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