Two particles, each of mass m and speed v, travel in opposite directions along parallel lines separated by a distance d. Show that the vector angular momentum of the two particle system is the same whatever be the point about which the angular momentum is taken.

Two particles, each of mass m and speed v, travel in opposite directio

1.	Two particles, each of mass m and speed v, travel in opposite directions along parallel lines separated by a distance d. Show that the vector angular momentum of the two particle system is the same whatever be the point about which the angular momentum is taken.
Answer» SOLUTION : Let `P,Q` be the POSITIONS at TIME .t. `barL` of .P. about .O. is `barL_(P)=(xbari+ybarj)XX(-mvbari)` `barL_(P) =mvybark` , `barL` of .Q. about O is `barL_(Q)=[xbari+(y+d)barj)]xxmvbari=mv(y+d)(bar-k)` `sumbarL=bar_(P)+barL_(Q)=mvd(bar-k)`.