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
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
Related questions
Question
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
Expert Solution
Introduction:
We are given the the rod with 2 masses attached at ends. The rod is massless. We choose a general axis of rotation. We find the moment of inertia for this axis. We then find point of minima. We then compare this point to moment of inertia.
Step by step
Solved in 2 steps
