A student sitting on a chair on a circular platform of negligible mass rotates freely on an air table an initial rotational speed of 2.0rad/s. The student’s arms are initially extended with 6.0kg dumbbells in each hand. As the student pulls her arms in toward her body, the dumbbells move from a distance of 0.80m to 0.10m from the axis of rotation. The initial rotational inertia of the student’s body (not including the dumbbells) with arms extended is 6.0kgm2 and the final rotational inertia is 5.0kgm2. Determine the initial and final rotational inertia of the student-dumbbell system. (Hint: you need to add the rotational inertia from the dumbbells to the rotational inertia of the student to get the system’s rotational inertia).

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