A 16 kg child is spinning while holding their favorite toy (toy mass is 1 kg). If the child's arms are 24 cm in length, by how much does the child's moment of inertia change when their arms are stretched out (with the toy) as compared to when they are pulled in? Assume the closest the child's arms can come to their center of rotation is 10 cm and that each arm is about 1 kg in mass (the mass of the arms is included in the 16 kg.)

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter9: Mass And Mass-related Variables In Engineering
Section: Chapter Questions
Problem 5P
Question
A 16 kg child is spinning while holding their favorite toy (toy mass is 1
kg). If the child's arms are 24 cm in length, by how much does the
child's moment of inertia change when their arms are stretched out
(with the toy) as compared to when they are pulled in? Assume the
closest the child's arms can come to their center of rotation is 10 cm
and that each arm is about 1 kg in mass (the mass of the arms is
included in the 16 kg.)
Transcribed Image Text:A 16 kg child is spinning while holding their favorite toy (toy mass is 1 kg). If the child's arms are 24 cm in length, by how much does the child's moment of inertia change when their arms are stretched out (with the toy) as compared to when they are pulled in? Assume the closest the child's arms can come to their center of rotation is 10 cm and that each arm is about 1 kg in mass (the mass of the arms is included in the 16 kg.)
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