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Class 12
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 L_{A} when it is at A and L_{B} when it is B, then:Â
L_{A} > L_{B}
L_{A} = L_{B}
the relationship between L_{A} and L_{B} depends upon the slope of the line AB
L_{A} < L_{B}
B.
L_{A} = L_{B}
From the definition of angular momentum,
Therefore, the magnitude of L isÂ
L = mvr sinÂ Î¦ = mvd
where d = r sin Î¦ is the distance of closest approach of the particle so the origin. As d is same for both the particles, hence, L_{A} = L_{B}
From the definition of angular momentum,
Therefore, the magnitude of L isÂ
L = mvr sinÂ Î¦ = mvd
where d = r sin Î¦ is the distance of closest approach of the particle so the origin. As d is same for both the particles, hence, L_{A} = L_{B}