2. a. In an automobile testing the relationship between the displacement s, velocity v and acceleration a of a piston is given by the following set of linear simultaneous equations: s+2v+2a=4 3s-v+4a=25 3s+2v-a=-4 Use Gauss-Jordon elimination method to determine the values of s, v and a.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Q2. a. In an automobile testing the relationship between the displacement s, velocity v and
acceleration a of a piston is given by the following set of linear simultaneous equations:
s+2v+2a=4
Use Gauss-Jordon elimination method to determine the values of s, v and a.
Force
(Newton)
11.4
18.7
11.7
12.3
14.7
a.
3s-v+4 a 25
b. The results obtained during helical spring loading test are as follows:
18.8
19.6
3s+2v-a-4
Time (Seconds)
0.56
0.35
0.55
0.52
0.43
0.34
0.31
Determine the equation of the regression line of time on force.
b. Find the equation for the regression line of force on time.
c. Draw the scatter diagram.
TAS-AH
Transcribed Image Text:Q2. a. In an automobile testing the relationship between the displacement s, velocity v and acceleration a of a piston is given by the following set of linear simultaneous equations: s+2v+2a=4 Use Gauss-Jordon elimination method to determine the values of s, v and a. Force (Newton) 11.4 18.7 11.7 12.3 14.7 a. 3s-v+4 a 25 b. The results obtained during helical spring loading test are as follows: 18.8 19.6 3s+2v-a-4 Time (Seconds) 0.56 0.35 0.55 0.52 0.43 0.34 0.31 Determine the equation of the regression line of time on force. b. Find the equation for the regression line of force on time. c. Draw the scatter diagram. TAS-AH
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