able weighing 25 newtor per meter length is suspended hall pulley at B. Calculate the mass m of the attached cylinder which so determine the horizontal distance from A to C. Because of the sm proximation of a parabolic cable. int: point B gives 21 = bint A gives 9 = WIB 2Fn¹ w(100-xB)² 2.F.
able weighing 25 newtor per meter length is suspended hall pulley at B. Calculate the mass m of the attached cylinder which so determine the horizontal distance from A to C. Because of the sm proximation of a parabolic cable. int: point B gives 21 = bint A gives 9 = WIB 2Fn¹ w(100-xB)² 2.F.
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
Related questions
Question
![8. A cable weighing 25 newtons per meter of length is suspended from point A and passes over the
small pulley at B. Calculate the mass m of the attached cylinder which will produce the sag of 9 m.
Also determine the horizontal distance from A to C. Because of the small sag-to-span ratio, use the
approximation of a parabolic cable.
wx
2Fn
Hint: point B gives 21 =
point A gives 9 =
w(100-xB)²
2Fn
Eliminate Fn to obtain
x - 350xB+ 17500 = 0
Solving for B, Use the value x = 60.4m the other is not valid for this system, to solve for Fn using the
first two equations. Since tension at B is equal to weight, mg. Use equation T² = (mg)² = F2+(wxB)²
to solve for mass, m.
Answer: m=270 kg.
2Fn
Use the equation y = Fat C, to solve for xc. Take note that AO(fromthelowesttosupportA) =
39.6m, finally AC = AO + xc = 79.12m
Answer: AC = 2xc = 79.12m since AO = xc
A
-100 m
12 m
C
K
9m
OB
m](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa36211ff-413d-45db-8330-03ac493e19cc%2Fed12a737-df83-4f70-8192-3998282e65d9%2Fprodcoq_processed.png&w=3840&q=75)
Transcribed Image Text:8. A cable weighing 25 newtons per meter of length is suspended from point A and passes over the
small pulley at B. Calculate the mass m of the attached cylinder which will produce the sag of 9 m.
Also determine the horizontal distance from A to C. Because of the small sag-to-span ratio, use the
approximation of a parabolic cable.
wx
2Fn
Hint: point B gives 21 =
point A gives 9 =
w(100-xB)²
2Fn
Eliminate Fn to obtain
x - 350xB+ 17500 = 0
Solving for B, Use the value x = 60.4m the other is not valid for this system, to solve for Fn using the
first two equations. Since tension at B is equal to weight, mg. Use equation T² = (mg)² = F2+(wxB)²
to solve for mass, m.
Answer: m=270 kg.
2Fn
Use the equation y = Fat C, to solve for xc. Take note that AO(fromthelowesttosupportA) =
39.6m, finally AC = AO + xc = 79.12m
Answer: AC = 2xc = 79.12m since AO = xc
A
-100 m
12 m
C
K
9m
OB
m
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