PM John, who has a mass m = 44 kg, was so excited to be taken to the playground on a sunny day. He runs tangentially to a merry-go-round at a speed of v = 2.3 m/s and leaps on. For this problem, the merry-go-round may be modeled as a solid disk that rotates freely without friction. The merry-go-round is initially not rotating (it is stationary), has a radius R = 1.1 meters, and a mass M = 246 kg. Assume John may be modeled by a point mass while he rides the merry-go-round. Calculate the moment of inertia of the merry-go-round before John leaps upon it, in kg m-.
PM John, who has a mass m = 44 kg, was so excited to be taken to the playground on a sunny day. He runs tangentially to a merry-go-round at a speed of v = 2.3 m/s and leaps on. For this problem, the merry-go-round may be modeled as a solid disk that rotates freely without friction. The merry-go-round is initially not rotating (it is stationary), has a radius R = 1.1 meters, and a mass M = 246 kg. Assume John may be modeled by a point mass while he rides the merry-go-round. Calculate the moment of inertia of the merry-go-round before John leaps upon it, in kg m-.
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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Transcribed Image Text:E A 25% Part (b) Determine John's angular speed, in radians/second, the instant before John leaps on the merry-go-round about the center of the merry-go-
round.
E A 25% Part (c) Determine the angular speed of the merry-go-round, in radians/second, the instant after John leaps on it.
E A 25% Part (d) John decides to now walk towards the center of the merry-go-round along a radius. Determine the new angular speed of the merry go round, in
radians/second, when he at a distance of R/2 from the center.
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Transcribed Image Text:PM
John, who has a mass m = 44 kg, was so excited to be taken to the playground
on a sunny day. He runs tangentially to a merry-go-round at a speed of v = 2.3 m/s and leaps on. For
this problem, the merry-go-round may be modeled as a solid disk that rotates freely without friction.
The merry-go-round is initially not rotating (it is stationary), has a radius R = 1.1 meters, and a
mass M = 246 kg. Assume John may be modeled by a point mass while he rides the merry-go-round.
Calculate the moment of inertia of the merry-go-round before John leaps upon it, in kg m².
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