FL The deflection y of the top of a sailboat mast is y = where F is the uniform 8EI side loading (N/m). L is the height (m), E is the modulus of elasticity (N/m2): and I is the moment of inertia (m*). Estimate the error in y given the following data: F = 750 N/m AF = 30 N/m AL = 0.03 m AE = 5 × 107 N /m² AI = 0.000005 mª L = 9 m E = 7.5 x 10° N/m? I = 0.0005 mª
FL The deflection y of the top of a sailboat mast is y = where F is the uniform 8EI side loading (N/m). L is the height (m), E is the modulus of elasticity (N/m2): and I is the moment of inertia (m*). Estimate the error in y given the following data: F = 750 N/m AF = 30 N/m AL = 0.03 m AE = 5 × 107 N /m² AI = 0.000005 mª L = 9 m E = 7.5 x 10° N/m? I = 0.0005 mª
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Subject: Numerical Method and Analysis
Lesson: Linear Approximation and Differential
![The deflection y of the top of a sailboat mast is y =
FL*
where F is the uniform
8EI
side loading (N/m), L is the height (m), E is the modulus of elasticity (N/m2),
and I is the moment of inertia (m*). Estimate the error in y given the following
data:
F = 750 N/m
AF = 30 N/m
L = 9 m
AL = 0.03 m
E = 7.5 x 10° N/m²
I = 0.0005 m4
AE = 5 x 107 N/m²
AI = 0.000005 mª](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9e357d83-74f0-42aa-a8a7-5c1b3b172b92%2Fdd339180-73db-4dbe-9223-269f64f03aa9%2Fr330i4n_processed.png&w=3840&q=75)
Transcribed Image Text:The deflection y of the top of a sailboat mast is y =
FL*
where F is the uniform
8EI
side loading (N/m), L is the height (m), E is the modulus of elasticity (N/m2),
and I is the moment of inertia (m*). Estimate the error in y given the following
data:
F = 750 N/m
AF = 30 N/m
L = 9 m
AL = 0.03 m
E = 7.5 x 10° N/m²
I = 0.0005 m4
AE = 5 x 107 N/m²
AI = 0.000005 mª
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