$2.$ A baseball player grips the bat at point $\backslash ($ D $\backslash ).$ When he swings the bat, the bat and his arm rotates about a point $\backslash ($ O $\backslash )$ along the axial line of the bat. If the mass center of the bat is point $\backslash ($ G $\backslash )$ as shown, determine the "sweet point" $\backslash ($ P $\backslash ),$ at which no matter how hard the baseball strikes, the player will not feel any force due to the impact by the baseball. Does this point depend on where the player grips the bat? The bat has a mass of $\backslash ($ m $\backslash )$ and a mass moment of inertia of $\backslash ($ I$\_\{$G$\}\backslash )$ about its mass center.