A 1.2-lb slender bar B fits inside a slot cut in a horizontal triangular plate which is free to rotate about a vertical axis through point O. Initially the angular velocity of the plate is 10 rad/s clockwise and the bar is at rest relative to the plate in the position shown. After the bar is given a slight nudge it moves to the end of the slot. Knowing that the mass moment of inertia of the plate about O is 0.2 lb ⋅ ft ⋅ s2, determine the angular velocity of the system after the plastic impact of the bar with the end of the slot.