question_answer

A particle of mass m moves along line PC with velocity v as shown. What is the angular momentum of the particle about O?                AIEEE  Solved  Paper-2002

A) \[mvL\]                                   

B) \[mvl\]                    

C)           \[mvr\]          

D) 0

Correct Answer: B

Solution :

The angular momentum of a body of constant mass and constant velocity depends upon the perpendicular distance from a fixed point (origin).              Angular momentum of particle about O                           \[L=m(r\times v)\]              \[|L|=mrv\,\sin \theta \,=mv\,(r\sin \theta )\,=mvl\]