Worksheet
Moments of Inertia and Angular Momentum
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Refer to the following information for the next four questions.
A
B
C
D
E
F
G
H
As the skater completes this
spinning maneuver
, at what positions does she have the greatest moment of inertia?
A and H
B and G
C and F
D and E
she has the same moment of inertia in all 8 positions
As the skater completes this
spinning maneuver
, at what positions does she have the greatest angular velocity?
A and H
B and G
C and F
D and E
she has the same moment of inertia in all 8 positions
As the skater completes this
spinning maneuver
, at what positions does she have the greatest rotational kinetic energy?
A and H
B and G
C and F
D and E
she has the same moment of inertia in all 8 positions
As the skater completes this
spinning maneuver
, at what positions does she have the greatest angular momentum?
A and H
B and G
C and F
D and E
she has the same angular momentum in all 8 positions
Refer to the following information for the next question.
Two identical decks of cards are to be rotated. One about a vertical axis that passes through its center of mass and the second about a horizontal axis passing through its center of mass.
In which method of rotation does the deck of cards have the greatest moment of inertia?
the one that would spin about the horizontal axis
the one that would spin about the vertical axis
they have the same moment of inertia
Refer to the following information for the next five questions.
Three toy figurines are placed on the surface of a rotating turntable at three different distances from the central axis.
Which figurine has the greatest moment of inertia?
the one most distant from the axis
the one closest to the axis
the one in the middle
all three have the same moment of inertia
Once the turntable begins rotating, which figurine has the greatest angular velocity?
the one most distant from the axis
the one closest to the axis
the one in the middle
all three have the same angular velocity
Once the turntable begins rotating, which figurine has the greatest linear velocity?
the one most distant from the axis
the one closest to the axis
the one in the middle
all three have the same linear velocity
As the turntable rotates, which figurine has the greatest angular momentum?
the one most distant from the axis
the one closest to the axis
the one in the middle
all three have the same angular momentum
As the turntable rotates, which figurine has the greatest linear momentum?
the one most distant from the axis
the one closest to the axis
the one in the middle
all three have the same linear momentum
Refer to the following information for the next two questions.
A tape between two rotating reels is taunt across the top, but droops along the bottom until it re-engages with the top right reel.
Which reel has the greater linear velocity?
the left reel which has the larger diameter
the right reel which has the smaller diameter
both reels have the same linear velocity
Which reel has the greater angular velocity?
the left reel which has the larger diameter
the right reel which has the smaller diameter
both reels have the same linear velocity
Refer to the following information for the next two questions.
A solid cylinder, a solid sphere, and a ring (all having the same radii, mass, and linear velocity) are rolling without slipping along three identical horizontal surfaces. They then all start up identical inclines.
Which shape has the greatest moment of inertia?
the cylinder
the sphere
the ring
they all have the same moment of inertia
Which will travel the greatest distance up its respective incline?
the cylinder
the sphere
the ring
they all travel the same distance
Refer to the following information for the next question.
A small mass is tied to the end of a string and swung along the top of a frictionless horizontal table's surface. One end of the string is tied to a peg. The string winds around the peg as the mass revolves.
If the original speed of the mass is v
_{1}
while it is at radius r
_{1}
, find v
_{2}
when the length of the string is 40% of its original length.
Refer to the following information for the next eleven questions.
As the satellite orbits the sun, at what position(s) does it experience its greatest:
gravitational force?
aphelion
perihelion
both are equal
linear acceleration?
aphelion
perihelion
both are equal
gravitational potential energy?
aphelion
perihelion
both are equal
linear velocity?
aphelion
perihelion
both are equal
linear kinetic energy?
aphelion
perihelion
both are equal
linear momentum?
aphelion
perihelion
both are equal
moment of inertia?
aphelion
perihelion
both are equal
angular velocity?
aphelion
perihelion
both are equal
angular kinetic energy?
aphelion
perihelion
both are equal
angular momentum?
aphelion
perihelion
both are equal
total energy?
aphelion
perihelion
both are equal
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