**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 shown is initially at rest, has a radius \( R = 1.1 \) meters, and a mass \( M = 286 \) kg. A small boy with mass \( m = 41 \) kg runs tangentially to the merry-go-round at a speed \( v = 2.5 \) 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.\[ I = \]Calculator interface with trigonometric and arithmetic functions is provided for computations, including options for using degrees or radians.**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.**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 halfway 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 boy is at the center?**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 the merry-go-round after the boy jumps off?**Illustration:**The image shows a colorful sketch of a merry-go-round with a child running towards it. The child is depicted next to the merry-go-round.Each part is accompanied by an icon indicating

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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

Problem 1.1MA

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Q26:
The 2.00-kg slender rod shown is hanging in a vertical position and is pin-supported at point A. The slender rod is initially at rest until a 1.000-kg block C, strikes it at its end at point B. The block slides on a frictionless surface with a velocity of 3.50 m/s to the right. After the impact, it slides with a velocity of 1.250 m/s to the right, and the bar rotates with an angular velocity, w'. 3.5 m/s с B 1.5 m Answer the following questions given the picture. Please show clear solutions, I want to learn how to solve the problem. 1a. Which of the following gives the correct kinematic relationship relating the final velocity of the center of the rod, v'G, and its angular velocity, w'? A) 1.333 w' B) 0.667 w' C) 1.500 w' D) 0.75 w' 1b. Which of the following gives the closest value of the magnitude of the horizontal impulse at the support at point A? A) 1.125 N-s B) 1.350 N-s C) 0.1180 N-s D) 2.25 N-s
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I need the answer as soon as possible
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