While working on herbike, Amanita turns it upside down and gives the front wheel

Question

While working on herbike, Amanita turns it upside down and gives the front wheel acounterclockwise spin. It spins at approximately constant speed fora few seconds. During this portion of the motion, she records thex and y positions and velocities, as well as theangular position and angular velocity, for the point on the rimdesignated by the yellow-orange dot in the figure. (Intro 1 figure) Let the origin of the coordinatesystem be at the center of the wheel, the positive xdirection to the right, the positive y position up, andthe positive angular position counterclockwise. The graphs (Intro 2 figure) begin when the point isat the indicated position. One graph may be the correct answer tomore than one part. Which of the graphs corresponds to xposition versus time? Which of the graphs corresponds to angularposition versus time? Which of the graphs corresponds to yvelocity versus time? Which of the following graphs corresponds toangular velocity versus time?

Explanation / Answer

With time along the x axis of the graph, "x position" will be onthe y axis. Now looking at the wheel, overlay a standardx/y graph with the hub of the wheel at 0,0. The startingpoint will have the mark at the largest positive x distance so yourgraph will have to start above the x axis of the graph,leaving youtwo to choose from. Since the x position is changing you canrule out one of the two, and you are left with graph F. Can't help with the others yet, still working them out.

Related Questions

Navigate

• Browse (All)
• Browse W
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.