How to Find the Resultant Using the Rectangular Method – Statics Components and Resultants Problem 8

In this video, we find the resultant force, location angle and direction from the given component vectors. 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:
Determine the magnitude and direction of the resultant of the two 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 2 component forces
Resultant from 2 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
Beer Johnston problem 2.2

Engineering statics
Components and resultants - Rectangular
College level
2D components and resultants problem 8
Professor Engineer
Professor_Engineer