A cannon is mounted on the pole, the barrel of which is directed horizontally along the meridian and can freely rotate around a vertical axis passing through the gun lock. At what angular velocity relative to the Earth will the gun barrel rotate after firing? Assume that at the initial moment of time the projectile is on the axis of rotation and moves inside the barrel when fired with constant acceleration a. The mass of the gun (M = 1000 kg) is significantly greater than the mass of the projectile (m = 10 kg). The barrel is much longer

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