is the angular acceleration of t

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A 30.0-kg child is riding at the edge of a 220-kg merry-go-round with a 3.00-m diameter. The merry-go-round is rotating counterclockwise at
constant angular velocity, making 1.00 complete revolution in 1.80 seconds. Then, the child begins to drag his foot on the ground near the
merry-go-round, resulting in a 40.0-N friction force between his foot and the ground.
(a) Set up this problem as practiced in class. Your setup should include a free-body diagram for the merry-go-round.
b) What is the angular acceleration of the merry-go-round as it comes to rest? = -0.19
c) How much time does it take for the merry-go-round to come to rest, and through what angle does it rotate in this time? = 32
Transcribed Image Text:A 30.0-kg child is riding at the edge of a 220-kg merry-go-round with a 3.00-m diameter. The merry-go-round is rotating counterclockwise at constant angular velocity, making 1.00 complete revolution in 1.80 seconds. Then, the child begins to drag his foot on the ground near the merry-go-round, resulting in a 40.0-N friction force between his foot and the ground. (a) Set up this problem as practiced in class. Your setup should include a free-body diagram for the merry-go-round. b) What is the angular acceleration of the merry-go-round as it comes to rest? = -0.19 c) How much time does it take for the merry-go-round to come to rest, and through what angle does it rotate in this time? = 32
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