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Question

A particle is projected at an angle 60 with the horizontal with a speed 10 m/s.
Find angular velocity when particle reaches X-axis, about an axis passing through origin ang along Z-axis.
Take g=10 m/s2

A
1 rad/s
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B
2 rad/s
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C
3 rad/s
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D
4 rad/s
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Solution

The correct option is A 1 rad/s
Here in the ground to ground projectile, when the particle lands the vertical component of velocity will have same magnitude, only the direction changes to downwards and the horizontal component remains same (both magnitude and direction).
vOA=u sin60


Angular velocity:
ω=vOAR=u sin60R

Here Range of projectile
R=u2sin2θg=100×3210=53

ω=u sin60R=10×3253=1 rad/s

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