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A particle is moving along a vertical ci...

A particle is moving along a vertical circle of radius `R=20 m` with a constant speed `v=31.4 m//s` as shown in the figure. Straight line `ABC` is horizontal and passes through the centre of the circle. A shell is fired from point `A` at the instant when particle is at `C`. The distance `AB` is `20sqrt(3)m` and shell collides with the particle at `B`, if smallest possible value of the angle of projection is `k xx 10^(@)` then find the value of `k`.

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