How to Find a 3D Resultant Vector with Transverse and Azmuth Angles – Statics 3D Problem 2

In this video, we find the resultant force, location angles and direction from the given component vectors. This problem is solved by combing the component vectors to form a single final resultant force by using one of the following three dimensional methods: directional cosines or transverse and azmuth angles.

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Problem statement:
The screw eye is subjected to the two forces shown. Express each force in Cartesian Vector form and then determine the resultant force in Cartesian Vector form. Find the magnitude and coordinate direction angles of the resultant force.

Problem walkthrough steps:
Look at each applied component force separately
Find or determine the x, y, and z directional component forces for each starting component force
Sum all the x directional component forces together. Then sum all the y directional component forces together. Then finally sum all the z directional component forces together.
Square root the sum of the squares of the total summations in each direction to find the resultant force.
-Use the directional cosines to determine the directional arrow for the resultant force

Topics of this problem include:
Solve a statics 3D components and resultants problem via the directional cosines.
Solve three dimension resultant forces and vectors
Resultant from at least 2 component forces
Resultant from at least 2 component vectors
X and Y and Z Components
Summation of forces in the x and y and z directions
Transverse and Azmuth Angles
Vector Addition
Force combination
Vector combination
Vector Mechanics
Forces in right triangles
Orthogonal vectors
Determining resultant angles
Find tension in cables
Three dimension vectors
Hibbler problem 2-65

Engineering statics
Components and resultants – 3D (three dimensions)
College level
3D components and resultants problem 2
Professor Engineer
Professor_Engineer