A merry-go-round with a moment of inertia equal to 1260kg m² and a radius of 2.5 m rotates with negligible friction at 1.70 rad/s. A little girl initially standing still next to the merry-go-round jumps onto the edge of the platform straighttoward the axis ofrotation causing the platform to slow to 1.55 rad/s. a) What is her mass? Then the girl begins walking with speed 1 m/s (relative to the platform) toward the center of the platform. (b) Determine the angular velocity ofthe system 2 seconds later. (c) What will be the angular velocity when the girl reaches the center? (d) Calculate therotational kineticenergy of the system of the platform plus the girl before and after the girl's walk.
A merry-go-round with a moment of inertia equal to 1260kg m² and a radius of 2.5 m rotates with negligible friction at 1.70 rad/s. A little girl initially standing still next to the merry-go-round jumps onto the edge of the platform straighttoward the axis ofrotation causing the platform to slow to 1.55 rad/s. a) What is her mass? Then the girl begins walking with speed 1 m/s (relative to the platform) toward the center of the platform. (b) Determine the angular velocity ofthe system 2 seconds later. (c) What will be the angular velocity when the girl reaches the center? (d) Calculate therotational kineticenergy of the system of the platform plus the girl before and after the girl's walk.
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter13: Rotation Ii: A Conservation Approach
Section: Chapter Questions
Problem 73PQ: A uniform disk of mass m = 10.0 kg and radius r = 34.0 cm mounted on a frictionlessaxle through its...
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