**Problem 4:**A merry-go-round is a playground ride that consists of a large disk mounted to rotate freely in a horizontal plane. The merry-go-round is initially at rest, with a radius \( R = 1.1 \) meters and a mass \( M = 286 \) kg. A small boy of mass \( m = 41 \) kg runs tangentially to the merry-go-round at a speed of \( v = 2.5 \) m/s and jumps on.**Randomized Variables:**- \( R = 1.1 \) meters- \( M = 286 \) kg- \( m = 41 \) kg- \( v = 2.5 \) m/s**Part (a)**Calculate the moment of inertia of the merry-go-round, in kg·m².- \( I = 178 \) ✔ Correct!**Part (b)**Immediately before the boy jumps on the merry-go-round, calculate his angular speed (in radians/second) about the central axis of the merry-go-round.- \( \omega_1 = 2.27 \) ✔ Correct!**Part (c)**Immediately after the boy jumps on the merry-go-round, calculate the angular speed in radians/second of the merry-go-round and boy.- \( \omega_2 = 0.5 \) ✔ Correct!**Part (d)**The boy then crawls towards the center of the merry-go-round along a radius. What is the angular speed in radians/second of the merry-go-round when the boy is halfway between the edge and the center of the merry-go-round?- \( \omega_3 = 0.59 \) ✔ Correct!**Part (e)**The boy then crawls to the center of the merry-go-round. What is the angular speed in radians/second of the merry-go-round when the boy is at the center?- Input: \( \omega_4 = 0.63 \) **Diagram Explanation:**The diagram shows a merry-go-round with a silhouette of a boy approaching it tangentially. The structure is depicted with various colored sections and handrails, indicating a typical playground setup.

Answered: Image /qna-images/answer/862a2d9f-37f3-4fef-8fce-2c548c448c2e.jpg

Problem 4: A merry-go-round is a playground ride that consists of a large disk mounted to that it can freely rotate in a horizontal plane. The merry-go-round shown is initially at rest, has a radius R = 1.1 meters, and a mass M= 286 kg. A small boy of mass m = 41 kg runs tangentially to the merry-go-round at a speed of v = 2.5 m/s, and jumps on.

Problem 4: A merry-go-round is a playground ride that consists of a large disk mounted to that it can freely rotate in a horizontal plane. The merry-go-round shown is initially at rest, has a radius R = 1.1 meters, and a mass M= 286 kg. A small boy of mass m = 41 kg runs tangentially to the merry-go-round at a speed of v = 2.5 m/s, and jumps on.

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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