A particle of mass ' m ' is projected with a velocity ' u ' ' making an angle ' θ ' with the horizontal. The magnitude of angular momentum of the projectile about the point of projection when the particle is at its maximum height is

Question

A particle of mass ' m ' is projected with a velocity ' u ' ' making an angle ' θ ' with the horizontal. The magnitude of angular momentum of the projectile about the point of projection when the particle is at its maximum height is, 0, m u sin 2 ⁡ θ cos ⁡ θ 2 g, 2 m u 2 cos 2 ⁡ θ sin ⁡ θ g, m u 3 sin 2 ⁡ θ cos ⁡ θ 2 g

MARKS App · Accepted Answer

Angular momentum of the particle, L = m v r ⊥ = m v h ⇒ L = m u cos θ × u 2 sin 2 θ 2 g ⇒ L = m u 3 sin 2 θ cos θ 2 g

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