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  • Two particles , each of mass m and speed v , travel in opposite directions along parallel lines separated by a distance d.

Q7.7     Two particles, each of mass m and speed v, travel in opposite directions along parallel
             lines separated by a distance d. Show that the angular momentum vector of the two
            particle system is the same whatever be the point about which the angular momentum is taken.

Answers (1)

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Assume two points (say A, B) separated by distance d.

So the angular momentum of a point about point A is given by :

                                                                 =\ mv \times d\ =\ mvd

And about point B :                 =\ mv \times d\ =\ mvd

Now assume a point between A and B as C which is at y distance from point B.

 Now the angular momentum becomes :          =\ mv \times \left ( d-y \right )\ +\ mv \times y

                                                                           =\ mv d

Thus it can be seen that angular momentum is independent of the point about which it is measured.

Posted by

Devendra Khairwa

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