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?./ Correct!I= 178Part (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./ Correct!227 - ן"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./ Correct!w2 = 0.5Part (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?V Correct!O3 = 0.59Part (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?/ Correct!w4 = 0.65Part (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?ws = 0.63|sin()cos()tan()79НОМEcotan()asin()acos()E456atan()acotan()sinh()1| 23cosh()tanh()cotanh()ENDO Degrees O Radiansvol BACKSPACEDELCLEAR

Given: Mass,M=286kgMass of boy,m=41kgRadius,R=1.1mVelocity,v=2.5m/s

Answered: Problem 4: Amerry-go-round is a…

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