Ball a, of mass ma, is connected to ball b, of mass mb, by a massless rod of length L. The two vertical dashed lines in the figure, one through each ball, represent two different axes of rotation, axes a and b. These axes are parallel to each other and perpendicular to the rod. The moment of inertia of the two-mass system about axis a Ia, and the moment of inertia of the system about axis b is Ib It is observed that the ratio of Ia to Ib is equal to 3:
(a) Assume that both balls are point-like; that is, neither has any moment of inertia about its own center of mass. Q. Find the ratio of the masses of the two balls.
(b) Find da, the distance from ball A to the system's center of mass.
(Express your answer in terms of L ,the length of the rod.)
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Our tutors have indicated that to solve this problem you will need to apply the Parallel Axis Theorem concept. You can view video lessons to learn Parallel Axis Theorem. Or if you need more Parallel Axis Theorem practice, you can also practice Parallel Axis Theorem practice problems.