A particle of mass m projected with a velocity u making an angle of 30 ° with the horizontal. The magnitude of angular momentum of the projectile about the point of projection when the particle is at

Question

A particle of mass m projected with a velocity u making an angle of 30 ° with the horizontal. The magnitude of angular momentum of the projectile about the point of projection when the particle is at its maximum height h is :

TestHub · Accepted Answer

Angular momentum at maximum height will be, L = m u cos θ h , where h = maximum height Therefore, L = m u cos θ × u 2 sin 2 θ 2 g = m u 3 2 g × 3 2 × 1 2 2 = 3 m u 3 16 g

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