How to Find the Resultant Using the Parallelogram Law. Hibbeler Statics Problem 2-1

Описание: 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. This problem is 2-1 (or 2.1) from R. C. Hibbeler Engineering Mechanics Statics textbook.

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Problem statement:
If theta equals 60 degrees and F equals 450 N, determine the magnitude of the resultant force and its direction, measured counterclockwise from the positive x axis.

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
Hibbeler problem 2.1


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Professor Engineer
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