A kid's merry-go-round in a park is a thin 150 kg disk (I = ½ MR?) with a radius of 3 m mounted to rotate freely about a central axis. On the edge of %3D the disk is an essentially massless bar. A 25 kg child jumps onto the bar (tangentially to the outer rim of the disk) at a speed of 12 m/s and a distance of 3 m from the rotation axis. If we think of the child as being essentially a point mass, what is the angular velocity of the system after the collision?

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A kid's merry-go-round in a park is a thin 150 kg disk (I = ½ MR2) with a
radius of 3 m mounted to rotate freely about a central axis. On the edge of
%3D
the disk is an essentially massless bar. A 25 kg child jumps onto the bar
(tangentially to the outer rim of the disk) at a speed of 12 m/s and a
distance of 3 m from the rotation axis. If we think of the child as being
essentially a point mass, what is the angular velocity of the system after
the collision?
Transcribed Image Text:A kid's merry-go-round in a park is a thin 150 kg disk (I = ½ MR2) with a radius of 3 m mounted to rotate freely about a central axis. On the edge of %3D the disk is an essentially massless bar. A 25 kg child jumps onto the bar (tangentially to the outer rim of the disk) at a speed of 12 m/s and a distance of 3 m from the rotation axis. If we think of the child as being essentially a point mass, what is the angular velocity of the system after the collision?
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