Problem 4: Amerry-go-round is a playground ride that consists of a large disk mounted tothat it can freely rotate in a horizontal plane. The merry-go-round shown is initially at rest, has aradius R = 1.1 meters, and a mass M= 286 kg. A small boy of mass m = 41 kg runs tangentially tothe merry-go-round at a speed of v = 2.5 m/s, and jumps on.Randomized VariablesR = 1.1 metersM= 286 kgm = 41 kgv= 2.5 m/sPart (a) Calculate the moment of inertia of the merry-go-round, in kg · m?.I=sin()cos()tan()8 9HOMEcotan()asin()acos()E45atan()acotan()sinh()*1|2|3cosh()tanh()cotanh()+| -ENDODegrees O RadiansVol BACKSPACE DEL CLEARSubmitFeedbackI give up!HintPart (b) Immediately before the boy jumps on the merry go round, calculate his angular speed (in radians/second) about the central axis of themerry-go-round.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.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 half way between the edge and the center of the merry go round?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 boyis at the center of the merry go round?Part (f) Finally, the boy decides that he has had enough fun. He decides to crawl to the outer edge of the merry-go-round and jump off. Somehow,he manages to jump in such a way that he hits the ground with zero velocity with respect to the ground. What is the angular speed in radians/second of themerry-go-round after the boy jumps off?

Answered: Image /qna-images/answer/28856d14-f53b-4979-a683-44fb1cac89a1.jpg

Answered: Problem 4: A merry-go-round is a…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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A slender bar with a length of 2 ft is pin-connected with a roller positioned on a smooth horizontal surface. The bar is at rest initially, and a horizontal force F is applied to the roller. If F = 13 lb and the weight of the bar is 10 lb, calculate the magnitude of the acceleration of the roller at that instant by neglecting the mass and the size d of the roller. Present your answer in ft/sec² using 3 significant figures. 2 ft F
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