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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

Options

  1. A3 2 m v² g
  2. Bzero
  3. Cm v³ 2 g
  4. D3 16 m v³ g

Correct answer

D. 3 16 m v³ g

Step-by-step solution

Angular momentum L₀=p r_ ( . linear momentum p=m v and . r ₁=H ) L₀=m v H =m v 3 2 v² ² 30^ 2 g = 3 m v³ 16 g

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