67–72 - Equilibrium of Forces The forces F,, F,. . .., F, acting at the same point P are said to be in equilibrium if the resultant force is zero, that is, if F, + F, + ...+ F, = 0. Find (a) the resultant forces acting at P, and (b) the additional force required (if any) for the forces to be in equilibrium. 67. F, = (2, 5), F; = (3, -8) 68. F, = (3, –7), F2 = (4, -2), F; = (-7,9) 69. F, = 4i – j, F; = 3i – 7j, F; = -8i + 3j. F, = i +j 70. F, = i - j. F, = i + j, F; = -2i + j 71. y F, 10, 8 60° 30° 20° F, 72. 4 2+ 3

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.1: Vectors In Two Dimensions
Problem 68E
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67–72 - Equilibrium of Forces The forces F,, F,. . .., F,
acting at the same point P are said to be in equilibrium if the
resultant force is zero, that is, if F, + F, + ...+ F, = 0. Find
(a) the resultant forces acting at P, and (b) the additional force
required (if any) for the forces to be in equilibrium.
67. F, = (2, 5), F; = (3, -8)
68. F, = (3, –7), F2 = (4, -2), F; = (-7,9)
69. F, = 4i – j, F; = 3i – 7j, F; = -8i + 3j.
F, = i +j
70. F, = i - j. F, = i + j, F; = -2i + j
71.
y
F,
10,
8
60°
30°
20°
F,
72.
4
2+
3
Transcribed Image Text:67–72 - Equilibrium of Forces The forces F,, F,. . .., F, acting at the same point P are said to be in equilibrium if the resultant force is zero, that is, if F, + F, + ...+ F, = 0. Find (a) the resultant forces acting at P, and (b) the additional force required (if any) for the forces to be in equilibrium. 67. F, = (2, 5), F; = (3, -8) 68. F, = (3, –7), F2 = (4, -2), F; = (-7,9) 69. F, = 4i – j, F; = 3i – 7j, F; = -8i + 3j. F, = i +j 70. F, = i - j. F, = i + j, F; = -2i + j 71. y F, 10, 8 60° 30° 20° F, 72. 4 2+ 3
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