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Questions  

A particle of mass m is projected with velocity v at an angle q with the horizontal. Find its angular momentum about the point of projection when it is at
the highest point of its trajectory.

a
mv2sinθsin2θ4g
b
mv3sinθsin2θ2g
c
mv3sinθcosθ4g
d
None of these

detailed solution

Correct option is A

At the highest point of its trajectory velocity of projectile is v θcos in the horizontal direction and value of maximum height is hmax=v2sin2θ2g∴Angular momentum about the point of projection isL=phmax=(mvcosθ)v2sin2θ2g ⇒L=mv2cos⁡θ⋅sin2⁡θ2g⇒L=mv3sin⁡θ⋅sin⁡2θ4g

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