please just check if the answer correct and solve it in another method ( parallelogram method )

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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please just check if the answer correct and solve it in another method ( parallelogram method )

Iving the force vectors into Cartesian components (using the projection method).
F₂
8
F3
F₁
F₂
F3
a
В
8
100 N
120 N
50 N
30 degrees
10 degrees
10 degrees
Transcribed Image Text:Iving the force vectors into Cartesian components (using the projection method). F₂ 8 F3 F₁ F₂ F3 a В 8 100 N 120 N 50 N 30 degrees 10 degrees 10 degrees
•Projechin method :
F₁=100N; F₂=120N ; F3 = 50N
x= 30° ; A = 10°; 6 = 10°
taking angles from x-axis and
in anticlockwise direction..
0₁= x= 30°
Og = 90-P = 90-10=80°
032180° + 65 = 180 + 10 = 190°
F₁ = 100 cose,↑ + 100 sing, Ĵ
= 100 cos 30 + 106 sin 303 = 86.60257 +503).
A
03
F2 = 120 cos@₂ ↑ + 120 sine
= 120 cos 80² + 120 5:080 = 20.83778 + 118.17693]
£3 = 50 cas 1901 +50 sin 1908
=-49.2403-8.6824j)
R=F₁+F₂ +F3 = 58.19 ↑ +159.4945)
tane 159.4945
58.15
8=69.96°
anti clockwise
from x-axis.
Transcribed Image Text:•Projechin method : F₁=100N; F₂=120N ; F3 = 50N x= 30° ; A = 10°; 6 = 10° taking angles from x-axis and in anticlockwise direction.. 0₁= x= 30° Og = 90-P = 90-10=80° 032180° + 65 = 180 + 10 = 190° F₁ = 100 cose,↑ + 100 sing, Ĵ = 100 cos 30 + 106 sin 303 = 86.60257 +503). A 03 F2 = 120 cos@₂ ↑ + 120 sine = 120 cos 80² + 120 5:080 = 20.83778 + 118.17693] £3 = 50 cas 1901 +50 sin 1908 =-49.2403-8.6824j) R=F₁+F₂ +F3 = 58.19 ↑ +159.4945) tane 159.4945 58.15 8=69.96° anti clockwise from x-axis.
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