The $2$oz bullet $(=2/16$ Ibf$)$ has a horizontal velocity of $1500$ft$/$s as it strikes the $20$lb slender bar OA$,$ which is suspended from point $0$ and is initially at rest. Calculate the angular velocity w which the bar with its embedded bullet has acquired immediately after impact.

If the bullet takes $0\mathrm{.}001$s to embed itself in the bar, calculate the time average of the horizontal force Ox exerted by the pin on the bar at O during the interaction between the bullet and the bar.