Eire is tied to a rope that is tied to the branch of a tree so that the tire swings in a circular trajectory of radius h, = 16.08 m. A child takes the tire to the top of a platform that is a height h, - 12.70 m above the ground, sits in the tire, and swings from rest from the platform. The combined mass of the tire and child is 36 kg. The rope is taut when the child leaves the platform and you may neglect the mass of the rope. At the bottom of the circular trajectory, the child and tire are a height h,- 0.92 m above the ground. you must include a diagram showing the physical situation. (a) Calculate the speed of the child/tire at the bottom of the circular trajectory. (b) Calculate the maximum tension in the rope as the child/tire swing back and forth. m/s N

Physics for Scientists and Engineers: Foundations and Connections
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Chapter13: Rotation Ii: A Conservation Approach
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A tire is tied to a rope that is tied to the branch of a tree so that the tire swings in a circular trajectory of radius h,
= 16.08 m. A child takes the tire to the top of a platform that is a height h, = 12.70 m above the ground,
sits in the tire, and swings from rest from the platform. The combined mass of the tire and child is 36 kg. The rope is taut when the child leaves the platform and you may neglect the mass of the rope. At the bottom of the
circular trajectory, the child and tire are a height h, = 0.92 m above the ground. .
%3D
you must include a diagram showing the physical situation.
(a) Calculate the speed of the child/tire at the bottom of the circular trajectory.
(b) Calculate the maximum tension in the rope as the child/tire swing back and forth.
m/s
tree-swing-edited-v2
h2
Transcribed Image Text:A tire is tied to a rope that is tied to the branch of a tree so that the tire swings in a circular trajectory of radius h, = 16.08 m. A child takes the tire to the top of a platform that is a height h, = 12.70 m above the ground, sits in the tire, and swings from rest from the platform. The combined mass of the tire and child is 36 kg. The rope is taut when the child leaves the platform and you may neglect the mass of the rope. At the bottom of the circular trajectory, the child and tire are a height h, = 0.92 m above the ground. . %3D you must include a diagram showing the physical situation. (a) Calculate the speed of the child/tire at the bottom of the circular trajectory. (b) Calculate the maximum tension in the rope as the child/tire swing back and forth. m/s tree-swing-edited-v2 h2
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