In a playground, there is a small merry-go-round of radius 1.20 m and mass 180 kg. Its radius of gyration (see Problem 79 of Chapter 10) is 91.0 cm.A child of mass 44.0 kg runs at a speed of 3.00 m/s along a path that is tangent to the rim of the initially stationary merry-go-round and then jumps on. Neglect friction between the bearings and the shaft of the merry-go-round. Calculate (a) the rotational inertia of the merry-go-round about its axis of rotation, (b) the magnitude of the angular momentum of the running child about the axis of rotation of the merry-go-round, and (c) the angular speed of the merry-go-round and child after the child has jumped onto the merry-go-round.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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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In a playground, there is a small merry-go-round of
radius 1.20 m and mass 180 kg. Its radius of gyration (see Problem
79 of Chapter 10) is 91.0 cm.A child of mass 44.0 kg runs at a speed
of 3.00 m/s along a path that is tangent to the rim of the initially
stationary merry-go-round and then jumps on. Neglect friction between
the bearings and the shaft of the merry-go-round. Calculate
(a) the rotational inertia of the merry-go-round about its axis of
rotation, (b) the magnitude of the angular momentum of the running
child about the axis of rotation of the merry-go-round, and
(c) the angular speed of the merry-go-round and child after the
child has jumped onto the merry-go-round.

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