Q.3) Given the following system of three forces (a) express each vector in Cartesian vector notation (b) determine the magnitude and coordinate direction angles of the resultant force F2 = 300 lb 45° F = 170 lb %3D 60° 30° 120° 40° F3 = 240 lb
Q.3) Given the following system of three forces (a) express each vector in Cartesian vector notation (b) determine the magnitude and coordinate direction angles of the resultant force F2 = 300 lb 45° F = 170 lb %3D 60° 30° 120° 40° F3 = 240 lb
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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can you please solve these two questions?
Transcribed Image Text:Q.3) Given the following system of three forces
(a) express each vector in Cartesian vector notation
(b) determine the magnitude and coordinate direction angles of the resultant force
F2 = 300 lb
45°
F = 170 lb
%3D
60°
- у
30°
120°
40°
F3 = 240 lb
%3D
Expert Solution
Step 1
Given.
F1 = 170 lb
F2 = 300 lb
F3 = 240 lb
Component of forces in X, Y, Z directions
F1x = 170*cos30° * cos 40° = 112.78 lb
F1y = -170*cos30° * sin 40° = 94.6339 lb
F1z = 170*sin30° = 85 lb
Cartesian vector of F1 = 112.78i -94.6339j +85k
F2x = 300*cos120° = -150 lb
F2y = 300*cos60° = 150 lb
F2z = 300*cos45° = 212.132 lb
Cartesian vector of FF2 = -150i +150j +212.132k
F3x = F3y = 0
F3z = -240lb
Cartesian vector of F3 = -240k
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