A horizontal beam of unit length under load w(x) satisfies the system: y" = M, M" = w(x), x = (0, 1). The deflection profile y(x) is given by y(x) = x² log(x) - 752 24 -x² + 4x³ - 3x². 12 Find which end is embedded and which end is free. Find the load w(x).

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A horizontal beam of unit length under load w(x) satisfies the system:
y" = M, M" = w(x), x = (0, 1).
The deflection profile y(x) is given by
25
4
y(x)
4
= x² log(x) -x² + 4x³ - 3x².
12
Find which end is embedded and which end is free. Find the load w(x).
-
Transcribed Image Text:A horizontal beam of unit length under load w(x) satisfies the system: y" = M, M" = w(x), x = (0, 1). The deflection profile y(x) is given by 25 4 y(x) 4 = x² log(x) -x² + 4x³ - 3x². 12 Find which end is embedded and which end is free. Find the load w(x). -
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