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While working on her bike, Amanita turns it upside down and gives the front whee

ID: 2279666 • Letter: W

Question

While working on her bike, Amanita turns it upside down and gives the front wheel a counterclockwise spin. It spins at approximately constant speed for a few seconds. During this portion of the motion, she records the x and y positions and velocities, as well as the angular position and angular velocity, for the point on the rim designated by the yellow-orange dot in the figure.  (Intro 1 figure)  Let the origin of the coordinate system be at the center of the wheel, the positive x direction to the right, the positive y position up, and the positive angular position counterclockwise. The graphs  (Intro 2 figure)  begin when the point is at the indicated position. One graph may be the correct answer to more than one part.

Intro 1

While working on her bike, Amanita turns it upside down and gives the front wheel a counterclockwise spin. It spins at approximately constant speed for a few seconds. During this portion of the motion, she records the x and y positions and velocities, as well as the angular position and angular velocity, for the point on the rim designated by the yellow-orange dot in the figure. (Intro 1 figure) Let the origin of the coordinate system be at the center of the wheel, the positive x direction to the right, the positive y position up, and the positive angular position counterclockwise. The graphs (Intro 2 figure) begin when the point is at the indicated position. One graph may be the correct answer to more than one part. Intro 1 Intro 2 Which of the graphs corresponds to x position versus time? Which of the graphs corresponds to angular position versus time? Which of the graphs corresponds to y velocity versus time? Which of the following graphs corresponds to angular velocity versus time?

Explanation / Answer

The graph corresponds to X position versus time is F

The graph corresponds to angular position versus time is A

The graph corresponds to Y vertical versustime is F

The graph corresponds to angular velocity versus time is C