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  4. A particle is moving uniformly along a straight line as shown in the figure. During the motion of the particle from A to B, the angular momentum of the particle about ‘O’

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Q. A particle is moving uniformly along a straight line as shown in the figure. During the motion of the particle from A to B, the angular momentum of the particle about ‘O’Physics Question Image

KCETKCET 2019System of Particles and Rotational Motion

Solution:

Angular momentum $L = mvr$
where $r$ is the perpendicular distance between velocity and reference point Here since the line $AB$ is straight, there would only 1 perpendicular distance from reference point i.e OA
So,
Angular momentum at $A = mvr$
Angular momentum at $P = mvr$
Angular momentum at $B = mvr$
Since, perpendicular distance between the line $AB$ and $O$ will always be $R$ So all the points lying on the line $AB$ will have same angular momentum equals to mvr.