Physics, asked by jack6778, 11 months ago

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.

Answers

Answered by LittleNaughtyBOY
44

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According to the Question the answer is like the following :

Consider, Two particles be at points P and Q at any instant.

Angular momentum of the system about point P:

Lp = mv × 0 + mv × d

LR = mvd …(1)

Angular momentum of the system about point Q:

LQ = mv × d + mv × 0

LR = mvd ….(2)

Consider a point R, which is at a distance y from point Q, i.e. QR = y

∴ PR = d – y

Angular momentum of the system about point R:

LR = mv × (d – y) + mv × y

LR = mvd ….(3)

Comparing equations (1), (2), and (3), we get:

LP = LQ = LR

Thus, we can say that the angular momentum of a system is same wherever taken.

Answered by Anonymous
1

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