A gun barrel of length OP = 4m is mounted on a turret as shown. To keep the gun aimed at a moving target, the azimuth angle β is being increased at the rate dβ/dt = 30°/s and the elevation angle γ is being increased at the rate dγ/dt = 10°/s. For the position β = 90° and ,γ = 30° determine

(a) The angular velocity of the barrel, 

(b) The angular acceleration of the barrel, 

(c) The velocity and acceleration of Point P.

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