A particle is projected with a speed v at 45 ° with the horizontal. The magnitude of angular momentum of the…
A particle is projected with a speed at with the horizontal. The magnitude of angular momentum of the projectille about the point of projection when the particle is at its maximum height is
Zero
Solution
When a particle is projected with a speed $v$ at $45^{\circ}$ with the horizontal then velocity of the projectile at maximum height.
$v' = v \cos 45^{\circ} = \frac{v}{\sqrt{2}}$
Angular momentum of the projectile about the point of projection
$= mv'h$
$= m \frac{v}{\sqrt{2}} h = \frac{mvh}{\sqrt{2}}$