(Solved): 4 The car strikes the side of a light pole, which is designed to break away from its base with negli ...

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 $64\mathrm{rad}/\mathrm{s}$ when $AC$ was vertical. The pole has a mass of $170\mathrm{kg}$, 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 $k_G=2.10\mathrm{m}$. (Figure 1) Part A Determine the horizontal impulse which the car exerts on the pole at the instant $AC$ is essentially vertica Express your answer to three significant figures and include the appropriate units.