40. Two balls with masses M and m are connected by rigid rod of length L and negligible mass as shown in Figure P10.40. 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 moment of inertia is Г-, L2 where umM/(m+ M) Figure P10.40

Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
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Chapter10: Rotation Of A Rigid Object About A Fixed Axis
Section: Chapter Questions
Problem 24P: Two balls with masses M and m are connected by a rigid rod of length L, and negligible mass as shown...
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40. Two balls with masses M and m are connected by
rigid rod of length L and negligible mass as shown in
Figure P10.40. 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 moment of inertia is Г-, L2
where umM/(m+ M)
Figure P10.40
Transcribed Image Text:40. Two balls with masses M and m are connected by rigid rod of length L and negligible mass as shown in Figure P10.40. 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 moment of inertia is Г-, L2 where umM/(m+ M) Figure P10.40
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