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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 50 cm. The sign is swingingwithout friction, becoming a tempting target for children armedwith snowballs. The maximum angular displacement of the sign is25.0° on both sides of the vertical. At a moment when the signis vertical and moving to the left, a snowball of mass 400g, traveling horizontally with a velocity of 160cm/s to the right, strikes perpendicularly the lower edge of thesign 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.
(c) The spattered sign will swing up through what maximumangle?
°
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