a) Fill in the blanks with the phrase a greater, the phrase a smaller, the phrase fthe same, or the phrase I don't know. 1) Two solid objects have the same mass. Both rotate around the same axis. The one that has more of its mass close to the axis has_ moment of inertia for that axis. (i) Two solid objects have the same shape and size. Both rotate around the same axis. The one that has the greater mass has moment of inertia for that axis. (iii) In one situation you spin a ball around an axis through its center. In a second situation you tie one end of a long string around the same ball, hold the other end of the string in your hand, and whirl the ball around your head. Compared to the moment of inertia of the ball for the first situation, the moment of inertia of the ball for the second situation has value.

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 52PQ
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a) Fill in the blanks with the phrase a greater, the phrase a smaller, the phrase the
same, or the phrase I don't know.
(i) Two solid objects have the same mass. Both rotate around the same axis. The one that has more of its mass close to
the axis has
moment of inertia for that axis.
(ii) Two solid objects have the same shape and size. Both rotate around the same axis. The one that has the greater mass
moment of inertia for that axis.
has
(iii) In one situation you spin a ball around an axis through its center. In a second situation you tie one end of a long
string around the same ball, hold the other end of the string in your hand, and whirl the ball around your head.
Compared to the moment of inertia of the ball for the first situation, the moment of inertia of the ball for the second
situation has
value.
(b) Two spheres, each of mass m, are connected by a rod. (The mass
of the rod is so small that it can be ignored.) The X shows the
position of the center of mass (cm) of the system. Three possible
Mass m
Mass m
rotation axes, 1, 2, and 3, are shown. Rank the moments of inertia of
cm
the system for these three axes, from largest to smallest. Explain how
you made your ranking.
Axis
Axis
Ахis
# 1
#2
# 3
(c) Two spheres, one of mass m and one of mass 2m, are connected
by a rod. (The mass of the rod is so small that it can be ignored.) The
X shows the position of the center of mass (cm) of the system. Three
Mass m
Mass 2m
possible rotation axes, 1, 2, and 3, are shown. Rank the moments of
|cm
inertia of the system for these three axes, from largest to smallest.
Explain how you made your ranking.
Axis
# 1
Axis
Axis
# 2
# 3
Transcribed Image Text:a) Fill in the blanks with the phrase a greater, the phrase a smaller, the phrase the same, or the phrase I don't know. (i) Two solid objects have the same mass. Both rotate around the same axis. The one that has more of its mass close to the axis has moment of inertia for that axis. (ii) Two solid objects have the same shape and size. Both rotate around the same axis. The one that has the greater mass moment of inertia for that axis. has (iii) In one situation you spin a ball around an axis through its center. In a second situation you tie one end of a long string around the same ball, hold the other end of the string in your hand, and whirl the ball around your head. Compared to the moment of inertia of the ball for the first situation, the moment of inertia of the ball for the second situation has value. (b) Two spheres, each of mass m, are connected by a rod. (The mass of the rod is so small that it can be ignored.) The X shows the position of the center of mass (cm) of the system. Three possible Mass m Mass m rotation axes, 1, 2, and 3, are shown. Rank the moments of inertia of cm the system for these three axes, from largest to smallest. Explain how you made your ranking. Axis Axis Ахis # 1 #2 # 3 (c) Two spheres, one of mass m and one of mass 2m, are connected by a rod. (The mass of the rod is so small that it can be ignored.) The X shows the position of the center of mass (cm) of the system. Three Mass m Mass 2m possible rotation axes, 1, 2, and 3, are shown. Rank the moments of |cm inertia of the system for these three axes, from largest to smallest. Explain how you made your ranking. Axis # 1 Axis Axis # 2 # 3
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