How to Find the Resultant Using the Parallelogram Law- Statics Components and Resultants Problem 9

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 Parallelogram Rule or Parallelogram Law.
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Problem statement:
Two structural members B and C are bolted to the bracket A. Knowing that the tension in member B is 6 kN and that the tension in C is 10 kN, determine the magnitude and direction of the resultant force acting on the bracket.
Problem walkthrough steps:
Draw a quick free body diagram
Form a parallelogram by copying and pasting the component forces
Draw in the resultant from corner to corner
-Calculate the angle opposite the resultant force
-Use the law of cosines to find the value of the resultant
-Use the law of sines to find the angle of the resultant off of one of the components
-Use this angle to find the resultant angle off of the x-axis
Topics of this problem include:
Free Body Diagram
Solve a statics components and resultants problem via the Parallelogram Law
Resultant from 2 component forces
Resultant from 2 component vectors
Vector Addition
Force combination
Vector combination
Vector Mechanics
Forces in right triangles
Orthogonal vectors
Determining resultant angles
Parallelogram Law
Parallelogram Rule
Beer Johnston problem 2.3
Engineering statics
Components and resultants - Parallelogram
College level
2D components and resultants problem 9
Professor Engineer
Professor_Engineer