Free Body Diagram - Revision history

Vpatel656: /* Common Mistakes in Free Body Diagrams */

2026-04-24T19:53:01Z

Common Mistakes in Free Body Diagrams

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	* Forgetting the normal force when an object is on a surface		* Forgetting the normal force when an object is on a surface
	* Drawing gravity in the wrong direction		* Drawing gravity in the wrong direction
	* Confusing Newton’s ~~Third~~ Law pairs (they act on different objects)		* Confusing Newton’s 3rd Law pairs (they act on different objects)
	* Forgetting to break angled forces into components		* Forgetting to break angled forces into components
	* Assuming constant velocity means no forces exist (it means net force is zero)		* Assuming constant velocity means no forces exist (it means net force is zero)

Vpatel656: /* Quick Free Body Diagram Checklist */

2026-04-24T19:52:43Z

Quick Free Body Diagram Checklist

← Older revision		Revision as of 15:52, 24 April 2026
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	* Choose a coordinate system (tilted if helpful)		* Choose a coordinate system (tilted if helpful)
	* Break angled forces into components if needed		* Break angled forces into components if needed
	* Apply Newton’s ~~Second~~ Law (ΣF = ma)		* Apply Newton’s 2nd Law (ΣF = ma)
	* Solve for unknowns using force equations		* Solve for unknowns using force equations

Vpatel656 at 19:51, 24 April 2026

2026-04-24T19:51:50Z

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 ==== Sum the forces ====
 Once you have drawn the free body diagram and broken the forces into components along the convenient x-y axis (if needed), then it is time to use [[#Mathematical Model | Mathematical Model]] to create a system of equations summing the forces in the x and y directions and then set them equal to the correct value, such as 0 if there is no acceleration in that direction or <math>m\mathbf{a}</math>.
 ==Examples==

Vpatel656 at 19:48, 24 April 2026

2026-04-24T19:48:44Z

← Older revision		Revision as of 15:48, 24 April 2026
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			'''Vidhi Patel – Fall 2026'''

	==Main Idea==		==Main Idea==
	A free body diagram, or force diagram, is a rough sketch that shows the relative magnitude and direction of all the forces acting on a system. There are various forces that can be acting on the object, such as applied force, frictional force, normal force, and gravitational force. A free body diagram allows for analysis in a steady state condition, where there can be no acceleration or a constant acceleration on a system.		A free body diagram, or force diagram, is a rough sketch that shows the relative magnitude and direction of all the forces acting on a system. There are various forces that can be acting on the object, such as applied force, frictional force, normal force, and gravitational force. A free body diagram allows for analysis in a steady state condition, where there can be no acceleration or a constant acceleration on a system.

Dravi33: /* History */

2025-12-02T18:51:45Z

History

← Older revision		Revision as of 14:51, 2 December 2025
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	Free Body Diagrams were developed alongside Newtonian physics as a graphical way to analyze what forces were acting on a system and how the system would react. More specifically, it traces its roots back to the works of Isaac Newton and later engineers who wanted to develop practical methods for applying Newton's laws. Although Newton himself did not develop the modern form of a force diagram, he developed the conceptual fondation of isolation a system and analyzing the forces acting upon it.<ref>Dugas, René. ''A History of Mechanics''. Routledge, 1955 [http://deadnet.se:8080/Books_and_manuals_on_various_stuff/Science/History%20and%20Philosophy%20of%20Science/Dugas%20-%20A%20History%20of%20Mechanics%20%28Routledge%2C%201955%29.pdf Online PDF]</ref> As physics and engineering developed rapidly through the Industrial Revolution, a systemic approach to statics and dynamics grew. Early engineering texts in the 1800s started to include sketches which showed loads on beams, tension in cables, and normal forces acting on supports. These sketches slowly became the standardized norm in engineering colleges. By the late 19th and early 20th centuries, free body diagrams became an essential problem solving tool, especially in the development of infrastructure, such as bridges. Take for example an analysis of the forces in a Truss Bridge.<ref>TeachEngineering. "Analyzing Forces in a Truss Bridge." https://www.teachengineering.org/lessons/view/ind-2472-analysis-forces-truss-bridge-lesson</ref>		Free Body Diagrams were developed alongside Newtonian physics as a graphical way to analyze what forces were acting on a system and how the system would react. More specifically, it traces its roots back to the works of Isaac Newton and later engineers who wanted to develop practical methods for applying Newton's laws. Although Newton himself did not develop the modern form of a force diagram, he developed the conceptual fondation of isolation a system and analyzing the forces acting upon it.<ref>Dugas, René. ''A History of Mechanics''. Routledge, 1955 [http://deadnet.se:8080/Books_and_manuals_on_various_stuff/Science/History%20and%20Philosophy%20of%20Science/Dugas%20-%20A%20History%20of%20Mechanics%20%28Routledge%2C%201955%29.pdf Online PDF]</ref> As physics and engineering developed rapidly through the Industrial Revolution, a systemic approach to statics and dynamics grew. Early engineering texts in the 1800s started to include sketches which showed loads on beams, tension in cables, and normal forces acting on supports. These sketches slowly became the standardized norm in engineering colleges. By the late 19th and early 20th centuries, free body diagrams became an essential problem solving tool, especially in the development of infrastructure, such as bridges. Take for example an analysis of the forces in a Truss Bridge.<ref>TeachEngineering. "Analyzing Forces in a Truss Bridge." https://www.teachengineering.org/lessons/view/ind-2472-analysis-forces-truss-bridge-lesson</ref>
	Due to their widespread usefulness, free body diagrams have not fallen out of favor with scientists and engineers. They continue to be used as a teaching and real world tool for well over a century. Free body diagrams are emphasized to be a foundational skill for students, allowing them to translate real-world systems into mathematical models. With the improvements in computer-aided models and design tools, the role of FBDs still remains essential to engineering.		<div style="text-align:center;">[[File:Trussbridge.jpg\|400px\|Truss bridge forces]]</div>

			Due to their widespread usefulness, free body diagrams have not fallen out of favor with scientists and engineers. They continue to be used as a teaching and real world tool for well over a century. Free body diagrams are emphasized to be a foundational skill for students, allowing them to translate real-world systems into mathematical models. With the improvements in computer-aided models and design tools, the role of FBDs still remains essential to engineering.

	== References ==		== References ==

Dravi33: /* History */

2025-12-02T18:47:14Z

History

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	==History==		==History==
			EDITED BY DEEPIKA RAVI, FALL 2025

	Free Body Diagrams were developed alongside Newtonian physics, as a graphical way to analyze what forces were acting on a system, and how the system would react.		Free Body Diagrams were developed alongside Newtonian physics as a graphical way to analyze what forces were acting on a system and how the system would react. More specifically, it traces its roots back to the works of Isaac Newton and later engineers who wanted to develop practical methods for applying Newton's laws. Although Newton himself did not develop the modern form of a force diagram, he developed the conceptual fondation of isolation a system and analyzing the forces acting upon it.<ref>Dugas, René. ''A History of Mechanics''. Routledge, 1955 [http://deadnet.se:8080/Books_and_manuals_on_various_stuff/Science/History%20and%20Philosophy%20of%20Science/Dugas%20-%20A%20History%20of%20Mechanics%20%28Routledge%2C%201955%29.pdf Online PDF]</ref> As physics and engineering developed rapidly through the Industrial Revolution, a systemic approach to statics and dynamics grew. Early engineering texts in the 1800s started to include sketches which showed loads on beams, tension in cables, and normal forces acting on supports. These sketches slowly became the standardized norm in engineering colleges. By the late 19th and early 20th centuries, free body diagrams became an essential problem solving tool, especially in the development of infrastructure, such as bridges. Take for example an analysis of the forces in a Truss Bridge.<ref>TeachEngineering. "Analyzing Forces in a Truss Bridge." https://www.teachengineering.org/lessons/view/ind-2472-analysis-forces-truss-bridge-lesson</ref>
	~~Because of~~ their widespread usefulness, free body diagrams have not fallen out of favor with scientists and engineers.		Due to their widespread usefulness, free body diagrams have not fallen out of favor with scientists and engineers. They continue to be used as a teaching and real world tool for well over a century. Free body diagrams are emphasized to be a foundational skill for students, allowing them to translate real-world systems into mathematical models. With the improvements in computer-aided models and design tools, the role of FBDs still remains essential to engineering.

	~~Free body diagrams have been used as a teaching and real world tool for well over a century.~~		== References ==
			<references/>

	==See Also==		==See Also==

Jnation8 at 17:07, 29 November 2021

2021-11-29T17:07:31Z

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	~~'''Claimed By: Jared Nation Fall 2021~~
	~~'''~~
	==Main Idea==		==Main Idea==
	A free body diagram, or force diagram, is a rough sketch that shows the relative magnitude and direction of all the forces acting on a system. There are various forces that can be acting on the object, such as applied force, frictional force, normal force, and gravitational force. A free body diagram allows for analysis in a steady state condition, where there can be no acceleration or a constant acceleration on a system.		A free body diagram, or force diagram, is a rough sketch that shows the relative magnitude and direction of all the forces acting on a system. There are various forces that can be acting on the object, such as applied force, frictional force, normal force, and gravitational force. A free body diagram allows for analysis in a steady state condition, where there can be no acceleration or a constant acceleration on a system.

Jnation8 at 17:03, 29 November 2021

2021-11-29T17:03:39Z

← Older revision		Revision as of 13:03, 29 November 2021
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	'''Claimed By: Jared Nation Fall 2021		'''Claimed By: Jared Nation Fall 2021
	'''==Main Idea==		'''
			==Main Idea==
	A free body diagram, or force diagram, is a rough sketch that shows the relative magnitude and direction of all the forces acting on a system. There are various forces that can be acting on the object, such as applied force, frictional force, normal force, and gravitational force. A free body diagram allows for analysis in a steady state condition, where there can be no acceleration or a constant acceleration on a system.		A free body diagram, or force diagram, is a rough sketch that shows the relative magnitude and direction of all the forces acting on a system. There are various forces that can be acting on the object, such as applied force, frictional force, normal force, and gravitational force. A free body diagram allows for analysis in a steady state condition, where there can be no acceleration or a constant acceleration on a system.

Jnation8 at 17:03, 29 November 2021

2021-11-29T17:03:23Z

← Older revision		Revision as of 13:03, 29 November 2021
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			'''Claimed By: Jared Nation Fall 2021
	==Main Idea==		'''==Main Idea==
	A free body diagram, or force diagram, is a rough sketch that shows the relative magnitude and direction of all the forces acting on a system. There are various forces that can be acting on the object, such as applied force, frictional force, normal force, and gravitational force. A free body diagram allows for analysis in a steady state condition, where there can be no acceleration or a constant acceleration on a system.		A free body diagram, or force diagram, is a rough sketch that shows the relative magnitude and direction of all the forces acting on a system. There are various forces that can be acting on the object, such as applied force, frictional force, normal force, and gravitational force. A free body diagram allows for analysis in a steady state condition, where there can be no acceleration or a constant acceleration on a system.

Laurence12799 at 20:12, 17 June 2019

2019-06-17T20:12:01Z

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	~~'''by Whitney Graham'''~~

	~~Edited by wboonban3@gatech.edu (Fall 2018)~~

	~~Edited by lleon30@gatech.edu (Summer 2019)~~

	==Main Idea==		==Main Idea==