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4. A uniform rod of length IL-2.5 m and mass M-5.8 kg is free to rotate about the y axis at one end, as shown. A steel sphere of mass m-1.7 kg is thrown at the opposite end of the rod with initial speed 3.4 m/s in a direction that is perpendicular to the rod. The sphere rebounds off of the rod in the opposite direction with a speed of 1.8 m/s. /m a. Calculate the moment of inertia of the rod about the y axis shown. b. Calculate the rotational speed of the rod after the collision. c. What is the direction of the angular velocity of the rod during the collision? d. What is the direction of the angular acceleration of the rod during the collision?

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