How to Find the Resultant Force for 3D Vectors – Statics 3D Components and Resultants Problem 1
Description
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.
SUBSCRIBE to my channel for similar videos and problem walkthroughs. Also, by SUBSCRIBING, you help this video reach others just like you. Make sure to leave a LIKE if this video was helpful. Please check out videos on the channel, as we cover many different topics.
Problem statement:
Determine the magnitude and coordinate direction angles of the resultant force, and its coordinate direction angles.
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
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 2-70
Engineering statics
Components and resultants – 3D (three dimensions)
College level
3D components and resultants problem 1
Professor Engineer
Professor_Engineer