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

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

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

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