For problem on the picture. assume that the left side of the spring has a fixed end and the other side has pull force applied to it.  The force applied to the spring is 3lbf. Solve for the following: a. Draw the free body diagram using the equivalent spring constant b. total deformation of the spring

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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For problem on the picture. assume that the left side of the spring has a fixed end and the other side has pull force applied to it. 
The force applied to the spring is 3lbf. Solve for the following:
a. Draw the free body diagram using the equivalent spring constant
b. total deformation of the spring

Problem No. 1
Solve for the Equivalent
Spring Constant for the
Given Spring Constant.
K₁ =
2KN,
m
Solution
K₁. K² And ks are Parallel Connection. Also
ky, ks are Parallel Connection.
For 1.2 and 3 -
(keq) = K + K₂ + K3
= 2 + 4.5+ 1.2
K₂= 4.5KN, ks. 1.2 KN, kn. 3.2KN, ks.
m
m
m
(keq), = 7.7 kN/m
Net Equivalent, (ken)Ne
T
(koq)net (keq),
1₁ 1
KG
+
(keq), (keq)₂
ki
For 4 and 5 -
(keq)₂ = k₁ + ks
= 3.2 + 4.2
(keq)₂ = 7.4 kN/m
1.1.1.1
(keq)nct 7.7 7.4 2.5
(keq)net 1.504 kN/m
4.2KN
m
Ks
K₂
ke 2.5-
Transcribed Image Text:Problem No. 1 Solve for the Equivalent Spring Constant for the Given Spring Constant. K₁ = 2KN, m Solution K₁. K² And ks are Parallel Connection. Also ky, ks are Parallel Connection. For 1.2 and 3 - (keq) = K + K₂ + K3 = 2 + 4.5+ 1.2 K₂= 4.5KN, ks. 1.2 KN, kn. 3.2KN, ks. m m m (keq), = 7.7 kN/m Net Equivalent, (ken)Ne T (koq)net (keq), 1₁ 1 KG + (keq), (keq)₂ ki For 4 and 5 - (keq)₂ = k₁ + ks = 3.2 + 4.2 (keq)₂ = 7.4 kN/m 1.1.1.1 (keq)nct 7.7 7.4 2.5 (keq)net 1.504 kN/m 4.2KN m Ks K₂ ke 2.5-
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