In a playground, there is a small merry-go-round of radius 4.30 m and mass 150 kg. Its radius of gyration is 3.60 m. A child of mass 32.0 kg runs at a speed of 1.60 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 on. (a) Number 2540 Units kg-m^2 (b) Number 2.20E2 Units kg-m^2/s (c) Number 0.0868 Units rad/s

In a playground, there is a small merry-go-round of radius 4.30 m and mass 150 kg. Its radius of gyration is 3.60 m. A child of mass 32.0 kg runs at a speed of 1.60 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 on. (a) Number 2540 Units kg-m^2 (b) Number 2.20E2 Units kg-m^2/s (c) Number 0.0868 Units rad/s

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 46P: A playground merry-go-round of radius R = 2.00 m has a moment of inertia I = 250 kg m2 and is...

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