3 Q2 A beam, AB, of weight W= 50 N and length L = 0.8 m is supported by two springs, as shown in figure 2.1. The two springs have identical unstressed length; the spring on the left has a spring constant, k, = 200 N/m, while the one on the right has a spring constant, k₂= 100 N/m. A vertical and downward load, P = 40 N, is applied at a distance x from A. (i) Derive the value of x for which the beam will have a horizontal orientation at equilibrium. State and justify your assumptions and comment on your working. (ii) Assume the two springs have different unstressed lengths. In your own festsm or words, show whether it is possible for the beam to have a horizontal orientation at equilibrium when one spring is stretched while the other spring is compressed. State and justify your assumptions and comment on your working. kı k₂ (olsce of ton) 1.8 empl B 10964 tenimsx3 to bra P Figure 2.1 (not to scale) A nction, and
3 Q2 A beam, AB, of weight W= 50 N and length L = 0.8 m is supported by two springs, as shown in figure 2.1. The two springs have identical unstressed length; the spring on the left has a spring constant, k, = 200 N/m, while the one on the right has a spring constant, k₂= 100 N/m. A vertical and downward load, P = 40 N, is applied at a distance x from A. (i) Derive the value of x for which the beam will have a horizontal orientation at equilibrium. State and justify your assumptions and comment on your working. (ii) Assume the two springs have different unstressed lengths. In your own festsm or words, show whether it is possible for the beam to have a horizontal orientation at equilibrium when one spring is stretched while the other spring is compressed. State and justify your assumptions and comment on your working. kı k₂ (olsce of ton) 1.8 empl B 10964 tenimsx3 to bra P Figure 2.1 (not to scale) A nction, and
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
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Transcribed Image Text:3
Q2
A beam, AB, of weight W= 50 N and length L = 0.8 m is supported by two
springs, as shown in figure 2.1. The two springs have identical unstressed
length; the spring on the left has a spring constant, k, = 200 N/m, while the one
on the right has a spring constant, k₂= 100 N/m. A vertical and downward load,
P = 40 N, is applied at a distance x from A.
(i)
Derive the value of x for which the beam will have a horizontal orientation
at equilibrium. State and justify your assumptions and comment on your
working.
bewalls
(ii) Assume the two springs have different unstressed lengths. In your own
(exham Or words, show whether it is possible for the beam to have a horizontal
orientation at equilibrium when one spring is stretched while the other
spring is compressed. State and justify your assumptions and comment
on your working.
kı
k₂
(oisse of ton) 1. etgR
B
10964 mtsnimsx3 to bn3
P
Figure 2.1 (not to scale)
A
inction, and
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