58. A A ball of mass M is con- nected to a second ball of mass m by a massless, rigid rod of length L (Fig. P13.58). a. Show that for an axis perpendicular to the rod, the minimum rotational inertia of the system is for an FIGURE P13.58 axis passing through the center of mass. b. What is the mini- mum rotational inertia of the system for an axis perpendicular to the rod? M CM L m

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter13: Rotation Ii: A Conservation Approach
Section: Chapter Questions
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In CH13 question number 58, I don’t understand why should we differentiate inertia (dI/dx) and why is it equal to zero, how should I answer this question? Thank you so much!
58. A A ball of mass M is con-
nected to a second ball of mass
m by a massless, rigid rod of
length L (Fig. P13.58). a. Show
that for an axis perpendicular to
the rod, the minimum rotational
inertia of the system is for an
FIGURE P13.58
axis passing through the center of mass. b. What is the mini-
mum rotational inertia of the system for an axis perpendicular
to the rod?
M
CM
L
m
Transcribed Image Text:58. A A ball of mass M is con- nected to a second ball of mass m by a massless, rigid rod of length L (Fig. P13.58). a. Show that for an axis perpendicular to the rod, the minimum rotational inertia of the system is for an FIGURE P13.58 axis passing through the center of mass. b. What is the mini- mum rotational inertia of the system for an axis perpendicular to the rod? M CM L m
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