A mass is attached to a string that goes through the hole in a horizontal table as shown in the image below. Initially, the mass rotates (without friction) around the hole along a circular trajectory of radius R1; its moment of inertia with respect to the vertical axis through the hole is I1. By pulling the string, we reduce the radius of the circular orbit to R2, and the moment of inertia becomes I2.

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A mass is attached to a string that goes through the hole in a horizontal table as shown in the image below. Initially, the mass
rotates (without friction) around the hole along a circular trajectory of radius R1; its moment of inertia with respect to the vertical
axis through the hole is l1. By pulling the string, we reduce the radius of the circular orbit to R2, and the moment of inertia becomes
12.
For each of the four physical quantities below, indicate whether the quantity increases, decreases, or stays constant when the mass
moves from R1 to R2 by selecting the appropriate choice in the menu. You must select a response for each of the quantities, so you
should have 4 selections total. There is partial credit enabled for this question.
(1) The Moment of Inertia of the mass
[ Select ]
(2) The Angular Velocity of the mass [ Select]
(3) The Angular Momentum of the mass
[ Select ]
(4) The Kinetic Energy of the mass [ Select ]
Transcribed Image Text:A mass is attached to a string that goes through the hole in a horizontal table as shown in the image below. Initially, the mass rotates (without friction) around the hole along a circular trajectory of radius R1; its moment of inertia with respect to the vertical axis through the hole is l1. By pulling the string, we reduce the radius of the circular orbit to R2, and the moment of inertia becomes 12. For each of the four physical quantities below, indicate whether the quantity increases, decreases, or stays constant when the mass moves from R1 to R2 by selecting the appropriate choice in the menu. You must select a response for each of the quantities, so you should have 4 selections total. There is partial credit enabled for this question. (1) The Moment of Inertia of the mass [ Select ] (2) The Angular Velocity of the mass [ Select] (3) The Angular Momentum of the mass [ Select ] (4) The Kinetic Energy of the mass [ Select ]
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