of y= 2 ft. The cords CAD and CBD are attached to the rings at C and D. Draw the free-body diagrams for poit wwwww k= 40 lb/ft 2 ft C 2 f -F B 2 ft 2 ft O wwwwww k= 40 lb/ft Solution 1. Imagine A and C to be separated or detached from the system. 2. Each of A and C is subjected to three external forces. For A, they are caused by: 1

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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When y is zero, the springs sustain a force of 60 lb. The applied vertical forces F and -F pull the point A away from B a distance
of y=2 ft. The cords CAD and CBD are attached to the rings at C and D. Draw the free-body diagrams for point A and ring C.
k= 40 lb/ft
iii.
For C, they are caused by:
i.
2 ft
C 2 ft
B
-F
-2 ft
2 ft O
Solution
1. Imagine A and C to be separated or detached from the system.
2. Each of A and C is subjected to three external forces. For A, they are caused by:
i.
ii.
k = 40 lb/ft
3. Draw the free-body diagrams of A and C showing all these forces labeled with their magnitudes and directions. You should
also include any other available information e.g. lengths, angles etc. - which will help when formulating the equilibrium
equations.
. A
Transcribed Image Text:When y is zero, the springs sustain a force of 60 lb. The applied vertical forces F and -F pull the point A away from B a distance of y=2 ft. The cords CAD and CBD are attached to the rings at C and D. Draw the free-body diagrams for point A and ring C. k= 40 lb/ft iii. For C, they are caused by: i. 2 ft C 2 ft B -F -2 ft 2 ft O Solution 1. Imagine A and C to be separated or detached from the system. 2. Each of A and C is subjected to three external forces. For A, they are caused by: i. ii. k = 40 lb/ft 3. Draw the free-body diagrams of A and C showing all these forces labeled with their magnitudes and directions. You should also include any other available information e.g. lengths, angles etc. - which will help when formulating the equilibrium equations. . A
Expert Solution
Step 1: Determine the distance as follows-

At y=0, The horizontal stretch is as follows-

x equals F over e subscript e q end subscript
equals fraction numerator 2 F over denominator k end fraction
equals fraction numerator 2 cross times 60 over denominator 40 end fraction
equals 3 space ft

Now when y=2 ( the given condition), the horizontal distance becomes-

table row cell sin 60 end cell equals cell fraction numerator O D over denominator 2 end fraction end cell row cell O D end cell equals cell 1.73 space ft end cell row blank blank cell Thus comma end cell row cell C D end cell equals cell 2 open parentheses O D close parentheses end cell row blank equals cell 3.46 space ft end cell row blank blank blank end table

Here, O is at the center point.

Now net shift of length, when the external load is applied is as follows-

table row cell increment x end cell equals cell 3.46 minus 3 end cell row blank equals cell 0.46 space ft end cell row cell open parentheses increment straight x close parentheses subscript each end cell equals cell fraction numerator 0.46 space ft over denominator 2 end fraction end cell row blank equals cell 0.23 space ft end cell row blank blank blank end table

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