An experiment is conducted to solve for the displacements of masses, x, which suspended horizontally by a series of springs. Four springs with different spring constants, k, and unstretched lengths, L, are attached to each other in series (refer to Table 2). One of the endpoint is then displaced such that the distance between the two endpoints is L= 0.8 m. Table 2 Spring, i k, (N/m) 1 2 3 4 30 34 40 46 L, (m) 0.10 0.13 0.18 0.22 The displacement formulation can be written as k, [x; -4]=k, [(x, - x)– L] k:[(x, – x)– L]= k;[(x; – x;)– L] k; [(x; – x,)– L]= k, [(*, - x,) – L,], where x, = L Write down the above problem in [4]{x} = {b} as well as the augmented form. (a) || (b) Hence, find the resulting displacements by using Thomas algorithm.
An experiment is conducted to solve for the displacements of masses, x, which suspended horizontally by a series of springs. Four springs with different spring constants, k, and unstretched lengths, L, are attached to each other in series (refer to Table 2). One of the endpoint is then displaced such that the distance between the two endpoints is L= 0.8 m. Table 2 Spring, i k, (N/m) 1 2 3 4 30 34 40 46 L, (m) 0.10 0.13 0.18 0.22 The displacement formulation can be written as k, [x; -4]=k, [(x, - x)– L] k:[(x, – x)– L]= k;[(x; – x;)– L] k; [(x; – x,)– L]= k, [(*, - x,) – L,], where x, = L Write down the above problem in [4]{x} = {b} as well as the augmented form. (a) || (b) Hence, find the resulting displacements by using Thomas algorithm.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Application of system of linear equations: -
![An experiment is conducted to solve for the displacements of masses, x, which suspended horizontally
by a series of springs. Four springs with different spring constants, k, and unstretched lengths, L, are
attached to each other in series (refer to Table 2). One of the endpoint is then displaced such that the
distance between the two endpoints is L= 0.8 m.
Table 2
Spring, i
k, (N/m)
1
2
3
4
30
34
40
46
L, (m)
0.10
0.13
0.18
0.22
The displacement formulation can be written as
k, [x; -4]=k, [(x, - x)– L]
k:[(x, – x)– L]= k;[(x; – x;)– L]
k; [(x; – x,)– L]= k, [(*, - x,) – L,], where x, = L
Write down the above problem in [4]{x} = {b} as well as the augmented form.
(a)
||
(b)
Hence, find the resulting displacements by using Thomas algorithm.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F24e49e0f-eeb9-412e-8482-f5bd547084ec%2F3eb4d9a7-dabe-480a-8939-ba59161277c7%2F7dckrzy_processed.png&w=3840&q=75)
Transcribed Image Text:An experiment is conducted to solve for the displacements of masses, x, which suspended horizontally
by a series of springs. Four springs with different spring constants, k, and unstretched lengths, L, are
attached to each other in series (refer to Table 2). One of the endpoint is then displaced such that the
distance between the two endpoints is L= 0.8 m.
Table 2
Spring, i
k, (N/m)
1
2
3
4
30
34
40
46
L, (m)
0.10
0.13
0.18
0.22
The displacement formulation can be written as
k, [x; -4]=k, [(x, - x)– L]
k:[(x, – x)– L]= k;[(x; – x;)– L]
k; [(x; – x,)– L]= k, [(*, - x,) – L,], where x, = L
Write down the above problem in [4]{x} = {b} as well as the augmented form.
(a)
||
(b)
Hence, find the resulting displacements by using Thomas algorithm.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 6 steps with 6 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
