PhysicsLAB Worksheet
Moments of Inertia and Angular Momentum

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?




 
As the skater completes this spinning maneuver, at what positions does she have the greatest angular velocity?




 
As the skater completes this spinning maneuver, at what positions does she have the greatest rotational kinetic energy?




 
As the skater completes this spinning maneuver, at what positions does she have the greatest angular momentum?




 
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?


 
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?



 
Once the turntable begins rotating, which figurine has the greatest angular velocity?



 
Once the turntable begins rotating, which figurine has the greatest linear velocity?



 
As the turntable rotates, which figurine has the greatest angular momentum?



 
As the turntable rotates, which figurine has the greatest 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?


 
Which reel has the greater angular 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?



 
Which will travel the greatest distance up its respective incline?



 
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 v1 while it is at radius r1, find v2 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?
 
linear acceleration?
 
gravitational potential energy?
 
linear velocity?
 
linear kinetic energy?
 
linear momentum?
 
moment of inertia?
 
angular velocity?
 
angular kinetic energy?
 
angular momentum?
 
total energy?
 




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