2-2. If e = 60° and T = 5 kN, determine the magnitude of the resultant force acting on the eyebolt and its direction measured clockwise from the positivex axis. 8 kN

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2-2. If e = 60° and T = 5 kN, determine the magnitude
of the resultant force acting on the eyebolt and its direction
measured clockwise from the positive x axis.
8 kN
The parallelogram law of addition and the triangular rule are shown in Figs. a and b, respectively.
Applying the law of cosines to Fig. b,
FR =52+82-2SX8)cos 105°
= 10.47 kN = 10.5 kN
%3D
Ans.
Applying the law of sines to Fig. band using this result, yields
sina
sin 105°
a = 47.54°
8
10.47
Thus, the direction angle o of FR measured clockwise from the positive xaxis is
O =a - 30° =47.54°-30° 17.5°
Ans.
5 KN
-60%45의105°
600
5KN
10s
8 KN
450
FR
(b)
8 kN
(a)
Transcribed Image Text:2-2. If e = 60° and T = 5 kN, determine the magnitude of the resultant force acting on the eyebolt and its direction measured clockwise from the positive x axis. 8 kN The parallelogram law of addition and the triangular rule are shown in Figs. a and b, respectively. Applying the law of cosines to Fig. b, FR =52+82-2SX8)cos 105° = 10.47 kN = 10.5 kN %3D Ans. Applying the law of sines to Fig. band using this result, yields sina sin 105° a = 47.54° 8 10.47 Thus, the direction angle o of FR measured clockwise from the positive xaxis is O =a - 30° =47.54°-30° 17.5° Ans. 5 KN -60%45의105° 600 5KN 10s 8 KN 450 FR (b) 8 kN (a)
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