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In this video, we find the component forces and their directions from the given resultant vector that would result from these two forces. This problem is resolving 1 resultant force to make two component vectors via the Rectangular Method.

Problem statement:
A barge is pulled by two tugboats. If the resultant of the forces exerted by the tugboats is a 5000 lb force directed along the axis of the barge, determine the tension in each of the ropes knowing that alpha is 45 degrees.

Problem walkthrough steps:
Draw a free body diagram
Look at each applied component force separately in variable form
Find or determine the x and y directional component forces for each starting component force in variable form
Sum all the x directional component forces together. Then sum all the y directional component forces together. Also include the resultant force in the correct summation equations
-Use the given resultant value to find the unknown component forces via 2 equations 2 unknown solutions

Topics of this problem include:
Free Body Diagram (FBD)
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 sample problem 2.2

Engineering statics
2D components and resultants problem 3
Professor Engineer
Professor_Engineer