A gun barrel of length OP = 4 m is mounted on a turret as shown. To keep the gun aimed at a moving target the azimuth angle b is being increased at the rate db/dt = 30 /s and the elevation angle g is...

A gun barrel of length OP = 4 m is mounted on a turret as shown. To keep the gun aimed at a moving target the azimuth angle b is being increased at the rate db/dt = 30/s and the elevation angle g is being increased at the rate dg/dt = 10/s. For the position b = 90 and g = 30, determine (a) the angular velocity of the barrel, (b) the angular acceleration of the barrel, (c) the velocity and acceleration of point P.