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The torque acting on a particle about an...

The torque acting on a particle about an arbitrary origin is zero, what can you say about its angular momentum' ?

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About the C.M. `tau_(0)=rF`. About the origin `0= tau_(0) + (vecR xx vecF) = rF-rF=0`

L about the origin`=I_(0)omega + vecR xx mvecv= I_(0)omega - rmv`
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