A particle or mass m is projected with a velocity v an making angle 30° with the horizontal . the magnitude of angular momentum to the projectile about the point of projection when the particle is at it's maximum height h is [AIEEE 2011]
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Explanation:- Angular momentum of the projectile as given by L = mvₕr⏊
- velocity 'v: = vcos¢
where ,h is maximum height
- 'h' = v²sin²¢/2g
- L = m (vcos¢)[v²sin²¢ /2g]
- L = mv³sin²¢cos¢ /2g
- given as angle 30° with the horizontal
- ∴ L = √mv²sin²30° cos30° / 2g
- L = √3mv³/16g Answer
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