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A particle of mass m is projected from point P on the ground with initial speed v at an angle θ with horizontal. Find the angular momentum of particle w.r.t. point P when it is at highest point of its trajectory.

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a

mu3sin2θcosθ2g

b

mu3cosθsinθg

c

mu3cosθsin2θg

d

mu3cos2θsinθ2g

answer is A.

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Detailed Solution

Angular momentum at point PL=(mucosθ)Hmax=mucosθu2sin2θ2gL=mu3sin2θcosθ2g

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A particle of mass m is projected from point P on the ground with initial speed v at an angle θ with horizontal. Find the angular momentum of particle w.r.t. point P when it is at highest point of its trajectory.