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System of Particles and Rotational Motion

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System of Particles and Rotational Motion
  1. A particle of mass m moves in the XY plane with a velocity v along the straight line AB. If the angular momentum of the particle with respect to origin O is LA when it is at A and LB when it is at B, then
    1. LA = LB
    2. the relationship between LA and LB depends upon the slope of the line AB
    3. LA < LB
    4. LA > LB
Correct Option: A

Angular momentum = Linear momentum × distance of line of action of linear momentum about the origin.

LA = pA × d, LB = pB × d
As linear momenta are pA and pB equal, therefore, LA = LB.


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