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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
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