(b) Figure Ql(a) shows a design of mechanical system for stamping process that consists of a slender bar with a mass of M kg with a length of 2 m, spring stiffiness coefficient, k and damping coefficient, c. To ensure the system oscillating, a vertical force of 50 N is applied at point P and then removed. The oscillation at point P is monitored, and its displacement data is recorded as displayed in Figure Q1(b). If the system lead to the equation of motion as follows: Ac Bk *+7xz*+7xz* = 0 Here, the value of 4, B and Z depends on the 4ª, 5th and 6 digit of your matric number respectively as shown in Table Q1. For example, if your matrix number is DD 110345 gives the value of A = 3, value of B = 4 and value of Z = 5. Table Q1 5ª digit of matrix number 4 digit of 6ª digit of matrix matrix A B number number 10 10 10 1 1 1 2 2 2 3 3 3 4 4 4 4 4 5 5 5 5 6 6. 6. 6. 6. 6. 7 7 8. 9 9 9. 9. Based on the displacement data given in Figure Ql(b), analyze the spring stiffness coefficient, k and the damping coefficient, c of the mechanical system if the formula for damping ratio, 3 is given as: V4n² + 82 Where in this case, 6 is defined as logarithmic đecrement. Calculate the initial displacement, x(t) of the mechanical system when the slender bar is in equilibrium position. 1.
(b) Figure Ql(a) shows a design of mechanical system for stamping process that consists of a slender bar with a mass of M kg with a length of 2 m, spring stiffiness coefficient, k and damping coefficient, c. To ensure the system oscillating, a vertical force of 50 N is applied at point P and then removed. The oscillation at point P is monitored, and its displacement data is recorded as displayed in Figure Q1(b). If the system lead to the equation of motion as follows: Ac Bk *+7xz*+7xz* = 0 Here, the value of 4, B and Z depends on the 4ª, 5th and 6 digit of your matric number respectively as shown in Table Q1. For example, if your matrix number is DD 110345 gives the value of A = 3, value of B = 4 and value of Z = 5. Table Q1 5ª digit of matrix number 4 digit of 6ª digit of matrix matrix A B number number 10 10 10 1 1 1 2 2 2 3 3 3 4 4 4 4 4 5 5 5 5 6 6. 6. 6. 6. 6. 7 7 8. 9 9 9. 9. Based on the displacement data given in Figure Ql(b), analyze the spring stiffness coefficient, k and the damping coefficient, c of the mechanical system if the formula for damping ratio, 3 is given as: V4n² + 82 Where in this case, 6 is defined as logarithmic đecrement. Calculate the initial displacement, x(t) of the mechanical system when the slender bar is in equilibrium position. 1.
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
Related questions
Question
A=2
B=3
Z=9
Transcribed Image Text:50 N
cs/m L
M kg
PO
k N/m
0.5 m
1.5 m
Figure Q1(a)
x(1), mm
8
4
2
t, s
0.1
0.2
0.3/0.4
0.5
0.6
Figure Q1(b)
Transcribed Image Text:(b)
Figure Ql(a) shows a design of mechanical system for stamping process that
consists of a slender bar with a mass of M kg with a length of 2 m, spring
stiffness coefficient, k and damping coefficient, c. To ensure the system
oscillating, a vertical force of 50 N is applied at point P and then removed. The
oscillation at point P is monitored, and its displacement data is recorded as
displayed in Figure Q1(b). If the system lead to the equation of motion as
follows:
Ac
i +7xZ
Bk
7xz*
x = 0
Here, the value of.4, B and Z depends on the 4, 5th and 6th digit of your matric
number respectively as shown in Table Q1. For example, if your matrix number
is DD 110345 gives the value of A = 3, value of B = 4 and value of Z = 5.
Table Q1
5ª digit
of matrix
4# digit of
6à digit of
matrix
A
B
matrix
number
number
number
10
10
10
1
1
1
1
1
2
2
2
2
3
3
3
3
3
4
4
4
4
4
4
6.
6.
6.
6.
6
7
7
7
7
7
7
8
9
9
9
9
9
Based on the displacement data given in Figure Q1(b), analyze the
spring stiffness coefficient, k and the damping coefficient, c of the
mechanical system if the formula for damping ratio, 3 is given as:
-= }
V4n² + 82
Where in this case, ô is defined as logarithmic decrement.
Calculate the initial displacement, x(t) of the mechanical system when
the slender bar is in equilibrium position.
11.
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