A 2 kg mass and a 6 kg mass are attached to either end of a 3 m long massless rod. a.) Find the center of mass of the system. 2 X m, from the 2 kg mass. Find the rotational inertia (I) of the system when rotated about: b.) the end with the 2 kg mass. 54 kg m2 c.) the end with the 6 kg mass. 18 kg m2 d.) the center of the rod. kg m2 e.) the center of mass of the system. kg m2 (Compare this to parts b-d. Is this what you expect?) f.) Suppose a frictionless pivot is attached at the center of mass, such that the system is free to rotate about this point in the horizontal plane. A force of 6 N is exerted perpendicular to the rod, pushing directly on the 6 kg mass. What is the size of the system's angular acceleration that would result? rad/s2

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