F1y - ZZ Problem 2.4 Consider forces shown in Fig. 2.18. FR is the resul- tant force vector making an angle 0 = 27° with the positive x axis. The magnitude of the resultant force is FR = 21.4 N. Furthermore, Fıx = 26 N and Fy = 25 N represent the scalar components of the force F1. Fıx F2 Fig. 2.18 Problem 2.4 Force Vector 33 (a) Calculate the magnitude of the force F1. (b) Calculate an angle a that the force F, makes with the posi- tive x axis. (c) Calculate the magnitude of the force F2. (d) Calculate an angle ß that the force F2 makes with the horizontal. Answers: (a) F1 = 36.1 N; (b) a = 43.9°; (c) F2 = 16.8 N; (d) ß = 65.7°

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
Section: Chapter Questions
Problem 13OQ: Figure OQ1.13 shows two vectors D1 and D2. Which of the possibilities (a) through (d) is the vector...
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Solve C and D
F1y
FR
Problem 2.4 Consider forces shown in Fig. 2.18. FR is the resul-
tant force vector making an angle 0 = 27° with the positive
x axis. The magnitude of the resultant force is FR = 21.4 N.
Furthermore, F1x = 26 N and F1y = 25 N represent the scalar
components of the force F1.
F1x
F2
Fig. 2.18 Problem 2.4
Force Vector
33
(a) Calculate the magnitude of the force F1.
(b) Calculate an angle a that the force F1 makes with the posi-
tive x axis.
(c) Calculate the magnitude of the force F2.
(d) Calculate an angle ß that the force F2 makes with the
horizontal.
Answers: (a) F1 = 36.1 N; (b) a = 43.9°; (c) F2 = 16.8 N;
(d) В — 65.7°
Transcribed Image Text:F1y FR Problem 2.4 Consider forces shown in Fig. 2.18. FR is the resul- tant force vector making an angle 0 = 27° with the positive x axis. The magnitude of the resultant force is FR = 21.4 N. Furthermore, F1x = 26 N and F1y = 25 N represent the scalar components of the force F1. F1x F2 Fig. 2.18 Problem 2.4 Force Vector 33 (a) Calculate the magnitude of the force F1. (b) Calculate an angle a that the force F1 makes with the posi- tive x axis. (c) Calculate the magnitude of the force F2. (d) Calculate an angle ß that the force F2 makes with the horizontal. Answers: (a) F1 = 36.1 N; (b) a = 43.9°; (c) F2 = 16.8 N; (d) В — 65.7°
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