Problem 2.5 Consider four forces F1, F2, F3, and F4 shown in Fig. 2.19. Assume that these forces are applied on an object in the xy-plane. The first, second, and third forces have a magni- tude of F = 32 N, F2 = 45 N, and F3 = 50 N, respectively, and they make angles a = 35°, ß = 32°, and y = 50° with the posi- tive x axis. The force F4 has a magnitude F4 55N and its line of action makes an angle 0 = 65° with the negative x axis. Fa F2 %3D %3D %3D %3D F1 (a) Calculate the scalar components of the resultant force vector ER (b) Calculate the magnitude FR Oof the resultant force. (c) Calculate an angle z that the resultant force vector FR makes with the horizontal. Fig. 2.19 Problem 2.5 93.5 N: (b) FR = 118.8 N;

Problem 2.5 Consider four forces F1, F2, F3, and F4 shown in Fig. 2.19. Assume that these forces are applied on an object in the xy-plane. The first, second, and third forces have a magni- tude of F = 32 N, F2 = 45 N, and F3 = 50 N, respectively, and they make angles a = 35°, ß = 32°, and y = 50° with the posi- tive x axis. The force F4 has a magnitude F4 55N and its line of action makes an angle 0 = 65° with the negative x axis. Fa F2 %3D %3D %3D %3D F1 (a) Calculate the scalar components of the resultant force vector ER (b) Calculate the magnitude FR Oof the resultant force. (c) Calculate an angle z that the resultant force vector FR makes with the horizontal. Fig. 2.19 Problem 2.5 93.5 N: (b) FR = 118.8 N;

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Basic Terminology in Mechanics

The area of science and mathematics concerned the motion of the objects, the relation between the force matter, and motion if specified. Forces exerted over the objects result in displacements or changes in the position of an object concerning its environment. This branch of physics keeps its roots in Ancient Greece in the form of the scripts of Aristotle and Archimedes.

Question

Answers: (a) F1= 36.1 N; (b) a= 43.9°; (c) F2 16.8 N;
(d)= 65.7
%3D
%3D
Problem 2.5 Consider four forces F, F2, F3, and F4 shown in
Fig. 2.19. Assume that these forces are applied on an object in
the xy-plane. The first, second, and third forces have a magni-
tude of F = 32 N, F2 = 45 N, and F3 = 50 N, respectively, and
they make angles a = 35°, B = 32°, and y = 50° with the posi-
tive x axis. The force F4 has a magnitude F4 55 N and its line
of action makes an angle 0 = 65° with the negative x axis.
F2
%3D
%3D
F1
(a) Calculate the scalar components of the resultant force vector
ER
(b) Calculate the magnitude FR Oof the resultant force.
(c) Calculate an angle z that the resultant force vector FR makes
with the horizontal.
Fig. 2.19 Problem 2.5
Answers: (a) FRE 73.3 N, FRy = 93.5 N; (b) FR = 118.8 N;
(c)r 51.9
Problem 2.6 As illustrated in Fig. 2.20, consider a 2 kg, 20 cm

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