are cre several cperoaches we cond use to fincd taa, but lets stick th dot product for the excple FaA Need F and û ea in Cantesian vector format. 34+ - 75.81 + a5 30 R

Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter4: Forces In One Dimension
Section: Chapter Questions
Problem 45A
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Hi so here is a question we have and here is the answer for it, i understand everything up until the circled part i am really stuck there so if you could just use alot of words when you explain it because our professor just puts the equation in without explaining it so please explain it as much as you can because i really dont understand it i would really appreciate it.

 

Thank you

(B Page view | A Read aloud|
O Add text
Draw
the projection of ř along this segiment,
Knaon
1, aft
Dimersions
FoA
shoan
Aprach: We're clealing with 3-dimegion
eos,tion + force vectors Oefine the
Jectors as Crtesien vecters + sowe with
dat product.
Ift
To fnd the augle e between lines Ao e BA and BC,
define vectus along these lines.
The dot preduct between these vectors ould be defined as
an fac cose
Recoranging
O= Crccos
(-Ə)O) + (-)(-3) +
= secos (0.7379)
:142.5"7
There cre several apprenches we conks use to find FaA,
but lets stick th dot product for the excuple
FOA
Need F and û BA in
Cartesion vector format.
F- (801b) - (s0a5) (-3k) - - 75.895 + 25 30R
Transcribed Image Text:(B Page view | A Read aloud| O Add text Draw the projection of ř along this segiment, Knaon 1, aft Dimersions FoA shoan Aprach: We're clealing with 3-dimegion eos,tion + force vectors Oefine the Jectors as Crtesien vecters + sowe with dat product. Ift To fnd the augle e between lines Ao e BA and BC, define vectus along these lines. The dot preduct between these vectors ould be defined as an fac cose Recoranging O= Crccos (-Ə)O) + (-)(-3) + = secos (0.7379) :142.5"7 There cre several apprenches we conks use to find FaA, but lets stick th dot product for the excuple FOA Need F and û BA in Cartesion vector format. F- (801b) - (s0a5) (-3k) - - 75.895 + 25 30R
Example 6
The pipe shown is subjected to the force of F = 80 lb. Determine the
angle 0 between F and the pipe segment BA and the projection of F
along this segment.
it
2 ft
y
2 ft
1 ft
F = 80 lb
В
31
Transcribed Image Text:Example 6 The pipe shown is subjected to the force of F = 80 lb. Determine the angle 0 between F and the pipe segment BA and the projection of F along this segment. it 2 ft y 2 ft 1 ft F = 80 lb В 31
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