The car strikes the side of a light pole, which is designed to break away from its base...

The car strikes the side of a light pole, which is designed to break away from its base with negligible resistance. From a video taken of the collision it is observed that the pole was given an angular velocity of 60 rad/s when AC was vertical. The pole has a mass of 175 kg, a center of mass at G, and a radius of gyration about an axis perpendicular to the plane of the pole assembly and passing through G of k_G = 2.25 m. Determine the horizontal impulse which the car exerts on the pole at the instant AC is essentially vertical.