A thin, uniform, rectangular sign hangs vertically above the doorof a shop. The sign is hinged to a stationary horizontal rod alongits top edge. The mass of the sign is 2.40 kg and its verticaldimension is 60.0 cm. The sign isswinging without friction, becoming a tempting target for childrenarmed with snowballs. The maximum angular displacement of the signis 25.0° on both sides of the vertical. At a moment when thesign is vertical and moving to the left, a snowball of mass500 g, traveling horizontally with avelocity of 160 cm/s to the right, strikes perpendicularly thelower edge of the sign and sticks there.
(a) Calculate the angular speed of the signimmediately before the impact.
rad/s

(b) Calculate its angular speed immediately after the impact.
rad/s

(c) The spattered sign will swing up through what maximumangle?
°
Best answer: