To compute the exact work required to pull the whole rope to the top of the building, slice the rope into many segments of equal length, Ay. One such segment, centered at a height y, is shown on the figure below: 25 ΔΜ = y = 25 Ay A. Find the mass, AM, of the indicated segment of the rope. Leave your answer in terms of Ay. AW= ROPE y=0 By approximating that the segment is a particle located at height y: B. Find the distance d = d(y) that the segment must be moved to reach the top of the building in terms of y. W = d(y) = C. Find the approximate the work, AW required to move the segment to the top of the building by using the formula given in the beginning of the problem. For computational convenience, take g = 10 m/s² and leave your final answer in terms of y and Ay. D. Set up, but do not evaluate an integral that would give the work required to pull the entire rope up to the top of the building.
To compute the exact work required to pull the whole rope to the top of the building, slice the rope into many segments of equal length, Ay. One such segment, centered at a height y, is shown on the figure below: 25 ΔΜ = y = 25 Ay A. Find the mass, AM, of the indicated segment of the rope. Leave your answer in terms of Ay. AW= ROPE y=0 By approximating that the segment is a particle located at height y: B. Find the distance d = d(y) that the segment must be moved to reach the top of the building in terms of y. W = d(y) = C. Find the approximate the work, AW required to move the segment to the top of the building by using the formula given in the beginning of the problem. For computational convenience, take g = 10 m/s² and leave your final answer in terms of y and Ay. D. Set up, but do not evaluate an integral that would give the work required to pull the entire rope up to the top of the building.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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![II. (The Exact Work)
To compute the exact work required to pull the whole rope to the top of the building, slice the rope into many segments of
equal length, Ay. One such segment, centered at a height y, is shown on the figure below:
25
BUILDING
ΔΜ =
y = 25
Ay
A. Find the mass, AM, of the indicated segment of the rope. Leave your answer in terms of Ay.
AW =
ROPE
y=0
By approximating that the segment is a particle located at height y:
B. Find the distance d = d(y)] that the segment must be moved to reach the top of the building in terms of y.
W =
d(y)
C. Find the approximate the work, AW required to move the segment to the top of the building by using the formula
given in the beginning of the problem. For computational convenience, take g = 10 m/s² and leave your final answer
in terms of y and Ay.
D. Set up, but do not evaluate an integral that would give the work required to pull the entire rope up to the top of the
building.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8217541a-72ba-453b-9d61-72cc8ecf567a%2F2b67a6d7-6177-4c6e-b453-81903bdc9e85%2F3ckvzzo_processed.png&w=3840&q=75)
Transcribed Image Text:II. (The Exact Work)
To compute the exact work required to pull the whole rope to the top of the building, slice the rope into many segments of
equal length, Ay. One such segment, centered at a height y, is shown on the figure below:
25
BUILDING
ΔΜ =
y = 25
Ay
A. Find the mass, AM, of the indicated segment of the rope. Leave your answer in terms of Ay.
AW =
ROPE
y=0
By approximating that the segment is a particle located at height y:
B. Find the distance d = d(y)] that the segment must be moved to reach the top of the building in terms of y.
W =
d(y)
C. Find the approximate the work, AW required to move the segment to the top of the building by using the formula
given in the beginning of the problem. For computational convenience, take g = 10 m/s² and leave your final answer
in terms of y and Ay.
D. Set up, but do not evaluate an integral that would give the work required to pull the entire rope up to the top of the
building.
Expert Solution
Step 1
We will find work done to pull a small length and then integrate it to find total work done
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