You and a friend with identical mass m stand on a massless merry-go-round of radius R that is free to rotate without friction about its axis. You are standing a distance R/2 from the center of the merry-go-round, and your friend is standing on the edge. Your friend begins to run along the edge of the merry-go-round at speed vo relative to the ground, while you remain stationary with respect to the merry-go-round. Top View Side View a. R Y R R 2 vo At what angular velocity do you rotate? X b. What friction force is required for you to maintain this motion without slipping?

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Chapter1: Units, Trigonometry. And Vectors
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You and a friend with identical mass m stand on a massless merry-go-round of radius R that is free
to rotate without friction about its axis. You are standing a distance R/2 from the center of the
merry-go-round, and your friend is standing on the edge. Your friend begins to run along the edge
of the merry-go-round at speed vo relative to the ground, while you remain stationary with respect
to the merry-go-round.
Top View
Side View
a.
b.
R
R2
R
R2
vo
At what angular velocity do you rotate?
X
What friction force is required for you to maintain this motion without slipping?
Transcribed Image Text:You and a friend with identical mass m stand on a massless merry-go-round of radius R that is free to rotate without friction about its axis. You are standing a distance R/2 from the center of the merry-go-round, and your friend is standing on the edge. Your friend begins to run along the edge of the merry-go-round at speed vo relative to the ground, while you remain stationary with respect to the merry-go-round. Top View Side View a. b. R R2 R R2 vo At what angular velocity do you rotate? X What friction force is required for you to maintain this motion without slipping?
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