How to Calculate the Components – Components and Resultants Parallelogram Rule – Statics Problem 4
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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 Parallelogram Rule.
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 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 sines to find the unknown components which are the tension forces in the cables
Topics of this problem include:
Free Body Diagram (FBD)
Solve a statics components and resultants problem via the Parallelogram Rule.
Resultant from 2 component forces
Resultant from 2 component vectors
Vector Addition
Force combination
Vector combination
Vector Mechanics
Law of cosines
Law of sines
Determining resultant angles
Beer Johnston sample problem 2.2
Engineering statics
2D components and resultants problem 4
Professor Engineer
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