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A particle of mass m is projected with a velocity v making an angle of 45o with the horizontal. The magnitude of angular momentum of the projectile about an axis of projection when the particle is at maximum height h is

a
0
b
mv3/42g
c
mv2/2g
d
m2gh3

detailed solution

Correct option is B

0−v2sin2⁡45∘=2gh or h=v2/4gAt highest point, momentum=mvcos⁡45∘=mv/2Angular momentum=mv2×h=mv2×v24g=mv342gIn terms of h, angular momentum=mv2×h=m2[(4gh)]×h=m2gh3

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Similar Questions

Assertion : When the velocity of projection of a body is made n times, its time of flight becomes n times.

Reason : Range of projectile does not depend on the initial velocity of a body.


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