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Write the law of conservation of angular momentum. |
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Answer» Solution :The time rate of the total angular momentum of a SYSTEM of particles about a point (taken as the origin of frame of reference) is equal to the sum of the external torque `therefore (dvecL)/(dt)=vectau_(("ext"))` If `vectau_(("ext"))=0" then "(dvecL)/(dt)=0` `therefore dvecL=0`,so `vecL` = constant Law of conservation of angular momentum : ..If the RESULTANT external torque on the system is zero, then its angular moment remains constant... Here `vecL` = constant, is equivalent to three scalar equations `L_(X)=K_(1),L_(y)=K_(2)andL_(Z)=K_(3)` Here `K_(1),K_(2)andK_(3)` are constant, `L_(x),L_(y)andL_(z)` are the components of the total angular momentum `vecL` ALONG X, Y and Z axes respectively. The total angular momentum is conserved means that each of these components is conserved. |
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