displaced 0

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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Determine the load P if the end C is displaced 0.075 in. downward.

4 ft
B
A
-3 ft-
D
3 ft
C
Transcribed Image Text:4 ft B A -3 ft- D 3 ft C
Expert Solution
Step 1: Dtaw the triangle diagram.

The triangle ABD is

Mechanical Engineering homework question answer, step 1, image 1

the deflection at point d is -

fraction numerator 0.075 over denominator 6 end fraction equals delta over 3
delta equals 0.0375 space in

Using the cosine rule, find the value of new length.

table row cell B D to the power of apostrophe end cell equals cell open parentheses 5 cross times 12 close parentheses squared plus open parentheses 0.0375 close parentheses squared minus 2 open parentheses 12 cross times 5 close parentheses open parentheses 0.0375 close parentheses cos 143.13 end cell row blank equals cell 60.03 space in end cell end table

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