A merry-go-round of radius R, shown in the figure, is rotating at constant angular speed. The friction in its bearings is so small that it can be ignored. A sandbag of mass m is dropped onto the merry-go-round, at a position designated by r. The sandbag does not slip or roll upon contact with the merry-go-round.
A merry-go-round of radius R, shown in the figure, is rotating at constant angular speed. The friction in its bearings is so small that it can be ignored. A sandbag of mass m is dropped onto the merry-go-round, at a position designated by r. The sandbag does not slip or roll upon contact with the merry-go-round.
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Transcribed Image Text:Rank the following different combinations of m and r on the basis of the angular speed of the merry-go-round after the sandbag "sticks" to the merry-
go-round.
Rank from largest to smallest. To rank items as equivalent, overlap them.
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m = 20 kg
r = 0.25R
m = 10 kg
r = 0.50R
m = 10 kg
r = 0.25R
m = 40 kg
r = 0.25R
m = 15 kg
r = 0.75R
m = 10 kg
r = 1.0R
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Transcribed Image Text:A merry-go-round of radius R, shown in the figure, is rotating at constant angular speed. The friction in its
bearings is so small that it can be ignored. A sandbag of mass m is dropped onto the merry-go-round, at a
position designated by r. The sandbag does not slip or roll upon contact with the merry-go-round.
R
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