A particle of mass 𝑚 is projected with a velocity 𝑣 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

Question : A particle of mass 𝑚 is projected with a velocity 𝑣 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

(A) \dfrac{3}{2}\dfrac{mv^{2}}{g}

(B) zero

(C) \dfrac{mv^{3}}{2g}

(D) \dfrac{\sqrt{3}}{16}\dfrac{mv^{3}}{g}

Answer : option (D)

Solution :

A particle of mass 𝑚 is projected with a velocity 𝑣 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
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