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Force Vector Directed Along a Line Using Position Vectors
Write a cable or rope force as a Cartesian vector from the coordinates of two points, using position and unit vectors.
Used at:Ch. 2, §2.4 Adding Forces in Space
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Source Details
Bibliographic details of "Vector Mechanics for Engineers: Statics" and every note, problem and app that cites it.
Book
Vector Mechanics for Engineers: Statics
Where it is used
2
Resultant of Concurrent Forces in 3D
Add concurrent forces in space component by component and find the magnitude and direction angles of the resultant.
Used at:Ch. 2 "Statics of Particles", §2.4 Adding Forces in Space (Addition of Concurrent Forces in Space)
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3
Cartesian Vectors in 3D: Components and Direction Angles
Describe a force in 3D with i, j, k components, its magnitude, coordinate direction angles and unit vector.
Used at:Ch. 2, §2.4 Adding Forces in Space (Rectangular Components of a Force in Space)
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4
Resultant of Coplanar Forces by Rectangular Components
Add any number of coplanar forces by summing x and y components, and find an unknown force from a known resultant.
Used at:Ch. 2 "Statics of Particles", §2.2 Adding Forces by Components
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5
Rectangular Components of a Force in 2D
Write a force by its x and y components, in scalar and Cartesian vector form, and get its magnitude and direction back.
Used at:Ch. 2 "Statics of Particles", §2.2 Adding Forces by Components
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6
Resolving a Force into Components Along Two Axes
Split a force into components along any two given directions, and see why oblique components are not projections.
Used at:Ch. 2 "Statics of Particles", §2.1 Addition of Planar Forces (Resolution of a Force into Components)
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7
Adding Forces: Parallelogram Law and Triangle Rule
Find the resultant of two or more forces with the parallelogram law, the triangle rule and the laws of sines and cosines.
Used at:Ch. 2 "Statics of Particles", §2.1 Addition of Planar Forces
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8
Dot Product: Angle Between Vectors and Projection of a Force
Use the dot product to find the angle between two lines and the parallel and perpendicular components of a force.
Used at:Ch. 3 "Rigid Bodies: Equivalent Systems of Forces", §3.2 Moment of a Force about an Axis
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9
Scalars and Vectors in Statics
What makes force a vector, how vectors are drawn and written, and how free, sliding and fixed vectors differ.
Used at:Ch. 2 "Statics of Particles", §2.1 Addition of Planar Forces (Vectors)
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10
Fundamental Principles of Statics
The six principles statics rests on, from the parallelogram law to Newton’s laws and gravity, and how each is used in problems.
Used at:No page or section given
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11
Unit Conversion Method Examples and Conversion Tables
Convert any unit with ratios equal to 1: step-by-step examples from length to temperature, and full conversion tables for 12 engineering quantities.
Used at:No page or section given
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12
Basic Concepts of Statics Particle Rigid Body and Force
The basic quantities of statics and its three models (particle, rigid body and concentrated force), with when to use each.
Used at:No page or section given
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22
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How to Solve Statics Problems
A five-step method for statics problems, with the checks that catch mistakes: units, significant figures and a sanity check.
Used at:No page or section given
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Units in Statics Si US Customary and Conversion
How force, mass and length units fit together through F = ma, how to convert between SI and U.S. units, and how to write SI correctly.
Used at:No page or section given
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32
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15
What Is Mechanics
Learn what mechanics studies, how it splits into statics, dynamics and other branches, and why statics comes first.
Used at:No page or section given
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