Two balls with masses M and m are connected by a rigidrod of length L and negligible mass as shown in FigureP10.28. For an axis perpendicular to the rod, (a) show thatthe system has the minimum moment of inertia when theaxis passes through the center of mass. (b) Show that this R moment of inertia is I = uL2, where u=mM/(m 1 M).

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter13: Rotation Ii: A Conservation Approach
Section: Chapter Questions
Problem 46PQ: A thin rod of length 2.65 m and mass 13.7 kg is rotated at anangular speed of 3.89 rad/s around an...
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Two balls with masses M and m are connected by a rigid
rod of length L and negligible mass as shown in Figure
P10.28. For an axis perpendicular to the rod, (a) show that
the system has the minimum moment of inertia when the
axis passes through the center of mass. (b) Show that this R moment of inertia is I = uL2, where u=mM/(m 1 M).

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