Potential Energy of Macroscopic Springs - Revision history

Sydney: /* References */

2019-08-18T23:35:30Z

References

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	[https://en.wikipedia.org/wiki/Spring]		[https://en.wikipedia.org/wiki/Spring]
	[https://en.wikipedia.org/wiki/Robert_Hooke]		[https://en.wikipedia.org/wiki/Robert_Hooke]

			[[Category:Energy]]

Sydney: /* References */

2019-08-18T21:53:12Z

References

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	==References==		==References==

	~~Hailey:~~
	[http://hyperphysics.phy-astr.gsu.edu/hbase/pespr.html]		[http://hyperphysics.phy-astr.gsu.edu/hbase/pespr.html]
	[https://www.generalspringkc.com/coil_springs_and_its_uses_s/2989.htm]		[https://www.generalspringkc.com/coil_springs_and_its_uses_s/2989.htm]
	[http://coilingtech.com/history-springs/]		[http://coilingtech.com/history-springs/]

	~~Someone else:~~
	[https://en.wikipedia.org/wiki/William_John_Macquorn_Rankine]		[https://en.wikipedia.org/wiki/William_John_Macquorn_Rankine]
	[https://en.wikipedia.org/wiki/Spring]		[https://en.wikipedia.org/wiki/Spring]

	~~Lanier:~~
	[https://en.wikipedia.org/wiki/Robert_Hooke]		[https://en.wikipedia.org/wiki/Robert_Hooke]

Sydney: /* External Links */

2019-08-18T21:52:48Z

External Links

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	===External Links===		===External Links===
	~~Hailey:~~

	Good explanation (and calculator) for potential energy in macroscopic springs:		Good explanation (and calculator) for potential energy in macroscopic springs:

Sydney: /* Further reading */

2019-08-18T21:52:37Z

Sydney: /* History */

2019-08-18T21:52:25Z

History

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	==History==		==History==
	~~Hailey:~~

	Before the existence of coiled springs, leaf springs were used. These springs consisted of curved strips of metal clamped to one another. However, these were not very efficient because they always had to be lubricated and squeaked a lot. It was not until 1763 when R. Tradwell invented the first coiled spring. Finally in 1857 when a steel coil spring was invented. Springs progressed and within just a century, springs have been used in many different things and have substantially improved the car and machine industry.		Before the existence of coiled springs, leaf springs were used. These springs consisted of curved strips of metal clamped to one another. However, these were not very efficient because they always had to be lubricated and squeaked a lot. It was not until 1763 when R. Tradwell invented the first coiled spring. Finally in 1857 when a steel coil spring was invented. Springs progressed and within just a century, springs have been used in many different things and have substantially improved the car and machine industry.

	~~Someone else:~~
	*'''William Rankinet'''		*'''William Rankinet'''
	**The term potential energy was introduced e, although it has links to Greek philosopher Aristotle's concept of potentiality.		**The term potential energy was introduced as e, although it has links to Greek philosopher Aristotle's concept of potentiality.
	**Scottish engineer and physicist		**Scottish engineer and physicist
	** links to Greek philosopher Aristotle's concept of potentiality

	~~Lanier:~~
	*'''Robert Hooke'''		*'''Robert Hooke'''
	**Came up with Hooke's Law, which is used to find the potential energy of springs.		**Came up with Hooke's Law, which is used to find the potential energy of springs.

Sydney: /* Connectedness */

2019-08-18T21:51:11Z

Connectedness

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	2. This topic relates to being a math major for obvious reasons; it presents a basic, practical application for advanced mathematics, something that isn't seen often in my experience.		2. This topic relates to being a math major for obvious reasons; it presents a basic, practical application for advanced mathematics, something that isn't seen often in my experience.

	3. A silly yet decent example of industrial applications of spring applications is the way many pens are constructed: A spring of specific dimensions requiring a spring constant within a certain range is necessary to make the button on a pen work.		3. A silly yet decent example of industrial applications of spring applications is the way many pens are constructed: a spring of specific dimensions requiring a spring constant within a certain range is necessary to make the button on a pen work.

	==History==		==History==

Sydney: /* Examples */

2019-08-18T21:49:09Z

Examples

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	==Examples==		==Examples==

			===Simple===

			'''Question'''

	'''~~Simple~~'''		If a spring has a spring constant, k = 1000 N/m, and is stretched 10 cm, find the force and potential energy of the spring.

			'''Solution'''

	~~''If a spring has a spring constant, k = 1000 N/m, and is stretched 10 cm, find the force and potential energy of the spring. ''~~
	[[File:lastexampleofthis.jpg]]		[[File:lastexampleofthis.jpg]]

			===Moderate===

			'''Question'''

			If a spring has a spring constant, k = 1000 N/m and is stretched 10 cm by an unknown mass, find the unknown mass.

	'''~~Moderate~~'''		'''Solution'''

	~~''If a spring has a spring constant, k = 1000 N/m and is stretched 10 cm by an unknown mass, find the unknown mass.''~~
	[[File:haileyexample1-2.jpg]]		[[File:haileyexample1-2.jpg]]

			===Difficult===

			'''Question'''

			If there is a cart of mass, m = 1 kg, moving at speed, v = 10 m/s^2, and it collides with a spring of spring constant, k = 1000 N/m, how far does the spring compress? You can ignore friction in this example!

	'''~~Difficult~~'''		'''Solution'''

	''If there is a cart of mass, m = 1 kg, moving at speed, v = 10 m/s^2, and it collides with a spring of spring constant, k = 1000 N/m, how far does the spring compress? You can ignore friction in this example!''
	[[File:fullsizerender-2.jpg]]		[[File:fullsizerender-2.jpg]]

Sydney: /* Terms and Definitions */

2019-08-18T21:45:28Z

Terms and Definitions

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	A macroscopic ideal spring is an elastic device which stores potential energy when stretched or compressed. Ideal springs exert a force which is linearly proportional to its change in length. This relationship can be modeled by the equation '''F = -kx''', where '''F''' is the force, '''k''' is the spring constant in N/m or lb/in, and '''x''' is the change in length of the spring from its equilibrium length.		A macroscopic ideal spring is an elastic device which stores potential energy when stretched or compressed. Ideal springs exert a force which is linearly proportional to its change in length. This relationship can be modeled by the equation '''F = -kx''', where '''F''' is the force, '''k''' is the spring constant in N/m or lb/in, and '''x''' is the change in length of the spring from its equilibrium length.

	~~==Terms and Definitions==~~

	===A Mathematical Model===		===A Mathematical Model===

Sydney: /* The Key Concept */

2019-08-18T21:45:05Z

The Key Concept

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	Claimed by Hailey Lindstrom for Spring 2017		Claimed by Hailey Lindstrom for Spring 2017

	==The ~~Key Concept~~==		==The Main Idea==

	A macroscopic ideal spring is an elastic device which stores potential energy when stretched or compressed. Ideal springs exert a force which is linearly proportional to its change in length. This relationship can be modeled by the equation '''F = -kx''', where '''F''' is the force, '''k''' is the spring constant in N/m or lb/in, and '''x''' is the change in length of the spring from its equilibrium length.		A macroscopic ideal spring is an elastic device which stores potential energy when stretched or compressed. Ideal springs exert a force which is linearly proportional to its change in length. This relationship can be modeled by the equation '''F = -kx''', where '''F''' is the force, '''k''' is the spring constant in N/m or lb/in, and '''x''' is the change in length of the spring from its equilibrium length.

Hlindstrom3: /* A Computational Model */

2017-04-09T18:22:02Z

A Computational Model

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	[[File:~~firstgraphhailey~~.png]]		[[File:finalfinalgraph.png]]

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	===Further reading===		===Further reading===

	~~Someone else:~~

	[http://en.wikipedia.org/wiki/Potential_energy Potential Energy]		[http://en.wikipedia.org/wiki/Potential_energy Potential Energy]