I need help with parts d, e, and f. Problem 5: A merry-go-round is a playground ride that consists of a large disk mountedto that it can freely rotate in a horizontal plane. The merry-go-round shown is initially atrest, has a radius R = 1.5 meters, and a mass M = 291 kg. A small boy of mass m = 44 kgruns tangentially to the merry-go-round at a speed of v= 1.9 m/s, and jumps on.I=M₁Randomized VariablesR 1.5 metersM = 291 kgm = 44 kgv = 1.9 m/sPart (a) Calculate the moment of inertia of the merry-go-round, in kg. m².Numeric: A numeric value is expected and not an expression.I=Part (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.Numeric: A numeric value is expected and not an expression.@1=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.Numeric: A numeric value is expected and not an expression.@2=Otheexpertta.comPart (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?Numeric: A numeric value is expected and not an expression.03=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?Numeric: A numeric value is expected and not an expression.04=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, hemanages 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 ofthe merry-go-round after the boy jumps off?Numeric: A numeric value is expected and not an expression.@5=

Merry-go-round is in form of large disk. Mass of disk: M = 291 kg Radius of disk: R = 1.5 m…

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? Numeric: A numeric value is expected and not an expression. 003= 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 of the merry go round? Numeric: A numeric value is expected and not an expression. 004 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? Numeric: A numeric value is expected and not an expression. @5=

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? Numeric: A numeric value is expected and not an expression. 003= 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 of the merry go round? Numeric: A numeric value is expected and not an expression. 004 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? Numeric: A numeric value is expected and not an expression. @5=

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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Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

I need help with parts d, e, and f.

Problem 5: 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 = 1.5 meters, and a mass M = 291 kg. A small boy of mass m = 44 kg
runs tangentially to the merry-go-round at a speed of v= 1.9 m/s, and jumps on.
I=
M₁
Randomized Variables
R 1.5 meters
M = 291 kg
m = 44 kg
v = 1.9 m/s
Part (a) Calculate the moment of inertia of the merry-go-round, in kg. m².
Numeric: A numeric value is expected and not an expression.
I=
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.
Numeric: A numeric value is expected and not an expression.
@1=
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.
Numeric: A numeric value is expected and not an expression.
@2=
Otheexpertta.com
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?
Numeric: A numeric value is expected and not an expression.
03=
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 of the merry go round?
Numeric: A numeric value is expected and not an expression.
04
=
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?
Numeric: A numeric value is expected and not an expression.
@5=

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Step 1: Given data:

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Step 2: To find moment of inertia and angular velocities:

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Step 3: Part (d) To find the angular speed of disk when boy is at midway of the disk towards the center:

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Step 4: Part (e) To find the angular speed of disk when boy is at center of the disk:

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Step 5: Part (f) To find the angular speed of disk after the boy jumps off the merry-go-round:

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