12:46 PM Edit P FR 150 N 115° $15 100 N (c) Fig. 2-11 88 4G B/s FR = √(100 N)2 + (150 N)² - 2(100 N)(150 N) cos 115° V10 000 +22 500 - 30 000(-0.4226) = 212.6 N = 213 N Applying the law of sines to determine 0, 150 N 212.6 N sin 0 sin 115° 150 N sin (sin 115°) 212.6 N 0 = 39.8° 3 50 Х Ans. Thus, the direction (phi) of FR, measured from the horizontal, is 39.8° 15.0° = 54.8° Ans. EXERCISE: EXAMPLE 2.2 Resolve the horizontal 600-lb force in Fig. 2-12a into components acting along the u and v axes and determine the magnitudes of these components. (a) 30 130° 600 lb Fig. 2-12 D DO w Tools Mobile View Share PDF to DOC Edit on PC

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 87E
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Question
12:46 PM
Edit
P
FR
150 N
115°
$15
100 N
(c)
Fig. 2-11
88
4G
B/s
FR = √(100 N)2 + (150 N)² - 2(100 N)(150 N) cos 115°
V10 000 +22 500 - 30 000(-0.4226) = 212.6 N
= 213 N
Applying the law of sines to determine 0,
150 N
212.6 N
sin 0
sin 115°
150 N
sin
(sin 115°)
212.6 N
0 = 39.8°
3
50
Х
Ans.
Thus, the direction (phi) of FR, measured from the horizontal, is
39.8° 15.0° = 54.8°
Ans.
EXERCISE:
EXAMPLE 2.2
Resolve the horizontal 600-lb force in Fig. 2-12a into components
acting along the u and v axes and determine the magnitudes of these
components.
(a)
30
130°
600 lb
Fig. 2-12
D
DO
w
Tools
Mobile View
Share
PDF to DOC
Edit on PC
Transcribed Image Text:12:46 PM Edit P FR 150 N 115° $15 100 N (c) Fig. 2-11 88 4G B/s FR = √(100 N)2 + (150 N)² - 2(100 N)(150 N) cos 115° V10 000 +22 500 - 30 000(-0.4226) = 212.6 N = 213 N Applying the law of sines to determine 0, 150 N 212.6 N sin 0 sin 115° 150 N sin (sin 115°) 212.6 N 0 = 39.8° 3 50 Х Ans. Thus, the direction (phi) of FR, measured from the horizontal, is 39.8° 15.0° = 54.8° Ans. EXERCISE: EXAMPLE 2.2 Resolve the horizontal 600-lb force in Fig. 2-12a into components acting along the u and v axes and determine the magnitudes of these components. (a) 30 130° 600 lb Fig. 2-12 D DO w Tools Mobile View Share PDF to DOC Edit on PC
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