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
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
University Physics Volume 1
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Chapter11: Angular Momentum
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Problem 92AP: A thin meter stick of mass 150 g rotates around an axis perpendicular to the stick’s long axis at an...
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Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F75ed199e-3e9a-47b8-aa3d-b2a3e5537015%2F041ec283-a81a-4cf3-8630-049efa9ab087%2F256l4hq.jpeg&w=3840&q=75)
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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