A particle of mass m is projected from origin o with angular speed u at angle theta with positive x-axis . positive y axis is in upward direction . find the angular momentum of particle at any time t about o before the particle strikes the ground

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final speed before hitting the ground will again be u.

resolving into components we have velocities- ucosΘ  along x-direction and usinΘ  along vertically downward direction

we know, angular momentum, L = m[r X v],

here,

     L=m[rX ucosΘ] +m[r x usinΘ]

 or L=mrucosΘsin0 +mrusinΘsin90

i.e L=0+mrusinΘ

therefore required angular momentum is mrusinΘ

correct me please, 

if i am wrong

enjoy 

AJ