Moment of Inertia and Center of Mass for Point Particles Ball a, of mass ma, is connected to ball b, of mass mp, by a massless rod of length L. (Figure 1)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 is I, and the moment of inertia of the system about axis b is I. It is observed that the ratio of I, to In is equal to 3: Part A = 3 Find the ratio of the masses of the two balls. Assume that both balls are pointlike; that is, neither has any moment of inertia about its own center of Express your answer numerically. mass. • View Available Hint(s) νο ΑΣφ Submit • Part 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. • View Available Hint(s) nνα ΑΣφ ? da = Submit Provide Feedback Figure 1 of 1 Axis a Axis b

Moment of Inertia and Center of Mass for Point Particles Ball a, of mass ma, is connected to ball b, of mass mp, by a massless rod of length L. (Figure 1)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 is I, and the moment of inertia of the system about axis b is I. It is observed that the ratio of I, to In is equal to 3: Part A = 3 Find the ratio of the masses of the two balls. Assume that both balls are pointlike; that is, neither has any moment of inertia about its own center of Express your answer numerically. mass. • View Available Hint(s) νο ΑΣφ Submit • Part 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. • View Available Hint(s) nνα ΑΣφ ? da = Submit Provide Feedback Figure 1 of 1 Axis a Axis b

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter9: Momentum And Its Conservation

Section: Chapter Questions

Problem 6STP

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