7.2 (a) A playground merry-go-round is essentially a solid iron disk of radius R and mass m. Two children, with masses Bm each, are originally sitting on opposite sides of the disk near its outer edge. The merry- go-round is turning (without friction) with a period (i.e. time per revolution) T;. The children then clamber toward each other until each is at a distance yR from the center (with y < 1). Calculate the new period T; in terms of B, y and T;. Check: For B = 0.25 and y = 0.50 you should find Tf = 0.625 T;. (b) Now assume that m = 80 kg, that R = 2.0 m, that each kid has mass 44 kg, and that T; What is Tf if the children end up at a distance of 0.50 m from the center of the merry-go-round? = 5.0 s.
7.2 (a) A playground merry-go-round is essentially a solid iron disk of radius R and mass m. Two children, with masses Bm each, are originally sitting on opposite sides of the disk near its outer edge. The merry- go-round is turning (without friction) with a period (i.e. time per revolution) T;. The children then clamber toward each other until each is at a distance yR from the center (with y < 1). Calculate the new period T; in terms of B, y and T;. Check: For B = 0.25 and y = 0.50 you should find Tf = 0.625 T;. (b) Now assume that m = 80 kg, that R = 2.0 m, that each kid has mass 44 kg, and that T; What is Tf if the children end up at a distance of 0.50 m from the center of the merry-go-round? = 5.0 s.
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Transcribed Image Text:7.2 (a) A playground merry-go-round is essentially a solid iron disk of radius R and mass m. Two children,
with masses ßm each, are originally sitting on opposite sides of the disk near its outer edge. The merry-
go-round is turning (without friction) with a period (i.e. time per revolution) T;. The children then
clamber toward each other until each is at a distance yR from the center (with < 1). Calculate the
new period T† in terms of B, y and T;.
Check: For B = 0.25 and y = 0.50 you should find Tf = 0.625 T;.
(b) Now assume that m =
80 kg, that R= 2.0 m, that each kid has mass 44 kg, and that T;
5.0 s.
What is Tf if the children end up at a distance of 0.50 m from the center of the merry-go-round?
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