a) Calculate its moment of inertia about the axis shown in the sketch below by directintegration.- L/32L/3 -Axisb) Check your answer with the parallel-axis theorem given that ICM = ML²/12.c) Assume that the rod has mass M =2 kg, length L = 1 m and that it rotates aroundthe axis in the above picture at 3 revolutions per second. What is its angular velocity,its angular momentum, and its rotational energy?d) Two small bodies of mass mị and m2 are attached to opposite ends of a thin rigid rod oflength L and mass M. The rotational axis is oriented as before, see sketch below. Whatdistance d from mị should the rotational axis be placed so that a minimum amount ofwork is required to set the rod rotating at a fixed angular velocity w?m1m2

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Answered: a) Calculate its moment of inertia…

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