Two forces are applied at the end of a screw eye in order to y
remove the post. Determine the angle u 10° … u … 90°2 F
and the magnitude of force F so that the resultant force
30°
acting on the post is directed vertically upward and has a 500 N θ
magnitude of 750 N.
x
SOLUTION
Parallelogram Law: The parallelogram law of addition is shown in Fig. (a).
Trigonometry: Using law of sines [Fig. (b)], we have
*2–4.
Determine the magnitudes
The vertical force of the
F acts downward at two components
on the of F
two-membered
along
frame.members
Determine and
ABthe AC. Set F of
magnitudes 500two
= the N. components of
B
F directed along the axes of and . Set 500 N.
SOLUTION A
Parallelogram Law:
Parallelogram Law: The parallelogram law of addition is shown in Fig. a.
Trigonometry:
Trigonometry: Using the law of sines (Fig. b), we have
F
500 C
sin 60° sin 75°
448 N Ans.
500
sin 45° sin 75°
366 N Ans.
Ans:
FAB = 448 N
FAC = 366 N
25
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