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Two particles each of mass m and speed v...

Two particles each of mass `m` and speed `v`, travel in opposite direction along parallel lines separated by a distance d. Show that the vector angular momentum of this system of particles is the same about any point taken as origin.

Text Solution

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`L_(0)=L_(1)+L_(2)`
`=`(mvy in clockwise or along negative z-axis)
`+[mv(y+d)` in anticlockwise or along positive z-axis)
`=mvd` in anticlockwise direction or along positive z-axis)
`=` constant
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