How to Find the Resultant of Three Force Vectors – Statics Components and Resultants Problem 18
In this video, we find resultant force for all the forces shown. This problem is solved by combing the two component vectors to form a single final resultant force by using the Rectangular Method.
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Problem statement:
Find the resultant of the forces shown.
Problem walkthrough steps:
-Draw a free body diagram
- Look at each applied component force separately
- Find or determine the x and y 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
-Use the Pythagorean Theorem to find the resultant force and vector value of the original starting component forces
-Use the directions of the summation of X forces and the summation of Y forces to determine the directional arrow for the resultant force
-With a right triangle formed, use the tangent (tan) inverse function to find the angle of the resultant off of the x-axis.
Topics of this problem include:
Free Body Diagram
Solve a statics components and resultants problem via the Rectangular Method.
Resultant from 3 component forces
Resultant from 3 component vectors
X and Y Components
Summation of forces in the x and y directions
Vector Addition
Force combination
Vector combination
Vector Mechanics
Forces in right triangles
Orthogonal vectors
Determining resultant angles
Find tension in cables
Engineering statics
Components and resultants - Rectangular
College level
2D components and resultants problem 18
Professor Engineer
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