Curving Motion - Revision history

Mdouglas34: I clarified that the child moves at a constant speed in the question of example 1

2025-03-03T18:26:56Z

I clarified that the child moves at a constant speed in the question of example 1

← Older revision		Revision as of 14:26, 3 March 2025
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	[[File:CMSimpleSketch.jpeg\|300px\|right\|thumb\|A diagram of the simple example]]		[[File:CMSimpleSketch.jpeg\|300px\|right\|thumb\|A diagram of the simple example]]

	A child whose mass is <math>30 \ \text{kg}</math> sits on a merry-go-round at a distance of <math>3 \ \text{meters}</math> from the center. The merry-go-round makes one revolution every <math>8 \ \text{seconds}</math>. What are the magnitude and direction of the net force (<math>F_{net}</math>) acting on the child?		A child whose mass is <math>30 \ \text{kg}</math> sits on a merry-go-round at a distance of <math>3 \ \text{meters}</math> from the center. The merry-go-round makes one revolution every <math>8 \ \text{seconds}</math> and the child moves at a constant speed. What are the magnitude and direction of the net force (<math>F_{net}</math>) acting on the child?

	'''Solution:'''		'''Solution:'''

Ctarver3: Adding more references regarding connectedness, in addition to ones added earlier for history.

2023-12-03T11:47:06Z

Adding more references regarding connectedness, in addition to ones added earlier for history.

← Older revision		Revision as of 07:47, 3 December 2023
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	4) https://earthobservatory.nasa.gov/features/OrbitsHistory/page2.php#:~:text=If%20Kepler's%20laws%20define%20the,followed%20the%20same%20basic%20principles.		4) https://earthobservatory.nasa.gov/features/OrbitsHistory/page2.php#:~:text=If%20Kepler's%20laws%20define%20the,followed%20the%20same%20basic%20principles.

			5) https://www.medicaldesignbriefs.com/component/content/article/mdb/pub/briefs/34808#:~:text=Robot%20motion%20control%20enables%20articulated,is%20appropriate%20on%20the%20robot.

			6) https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9597107/

			7) https://news.mit.edu/2019/robot-brain-blood-vessels-0828

Ctarver3: Adding more connectedness.

2023-12-03T11:45:43Z

Adding more connectedness.

← Older revision		Revision as of 07:45, 3 December 2023
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	*How is it connected to your major?		*How is it connected to your major?
	As of now I am a CS major, and using vPython to model curving motion animations among many things helps apply programming ideas such as iteration and variable update.		As of now I am a CS major, and using vPython to model curving motion animations among many things helps apply programming ideas such as iteration and variable update.

			Specifically within learning the DEvices and Intelligence Threads, basically introduction to robotics, curving (circular) motion presents itself as opportunity to learn how to attribute such to robotics so that they may be better able to be applied to complex tasks or complete tasks in general with increased range and efficiency.

	*Is there an interesting industrial application?		*Is there an interesting industrial application?
	Centripetal and Centrifugal forces can be found in many industrial applications, as curved motion is a very frequent occurrence when observing interactions between various objects. For instance, a centrifuge using these mechanics helps astronauts train for higher effective gravity.		Centripetal and Centrifugal forces can be found in many industrial applications, as curved motion is a very frequent occurrence when observing interactions between various objects. For instance, a centrifuge using these mechanics helps astronauts train for higher effective gravity.

			Specifically in areas of applying robotics to search and rescue operations, curving (circular) motion allows such small bodies the flexibility to enter crevices inaccessible from the outside to the human body, especially with rescue gear, to try and locate people or objects.

			What's more is that more softer and miniscule robot bodies, curving (circular) motion allows for ease of traverse through sensitive and delicate areas, like organs and veins/arteries.

	==History==		==History==

Ctarver3: /* Computational Model */

2023-12-03T11:31:24Z

Computational Model

← Older revision		Revision as of 07:31, 3 December 2023
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	</code>		</code>

	~~[[File:GlowScriptL3SimulationResult.png\|200px\|thumb\|right\|Computational Model Result of Glowscript link code.]]~~

	Additionally, here is my supplied computationally simulation model: https://www.glowscript.org/#/user/WolfCTarver/folder/MyPrograms/program/Lab3MyTestSTAR/edit		Additionally, here is my supplied computationally simulation model: https://www.glowscript.org/#/user/WolfCTarver/folder/MyPrograms/program/Lab3MyTestSTAR/edit
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	Then, we launch from the side of the planet that is in the same direction as the planet's motion, but then immediately after takeoff the engines fail! We are now at the mercy of the gravitational forces of the planet and the black hole. The mission is to fly around the black hole (not necessarily orbiting it, but rather getting close to it at some point) without crashing on the planet or the black hole. To do this, we will need to determine what initial velocity your ship must have when it leaves the surface of the planet.		Then, we launch from the side of the planet that is in the same direction as the planet's motion, but then immediately after takeoff the engines fail! We are now at the mercy of the gravitational forces of the planet and the black hole. The mission is to fly around the black hole (not necessarily orbiting it, but rather getting close to it at some point) without crashing on the planet or the black hole. To do this, we will need to determine what initial velocity your ship must have when it leaves the surface of the planet.
	We simulate the motion of the spaceship around the planet and black hole, by calculating all the necessary gravitational forces and using Newton's 2nd law to predict the motion of the planet and the spaceship~~. A snapshot of the result is to the right~~.		We simulate the motion of the spaceship around the planet and black hole, by calculating all the necessary gravitational forces and using Newton's 2nd law to predict the motion of the planet and the spaceship.

	==Examples==		==Examples==

Ctarver3: /* Computational Model */

2023-12-03T11:30:04Z

Computational Model

← Older revision		Revision as of 07:30, 3 December 2023
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	</code>		</code>

			[[File:GlowScriptL3SimulationResult.png\|200px\|thumb\|right\|Computational Model Result of Glowscript link code.]]

	Additionally, here is my supplied computationally simulation model: https://www.glowscript.org/#/user/WolfCTarver/folder/MyPrograms/program/Lab3MyTestSTAR/edit		Additionally, here is my supplied computationally simulation model: https://www.glowscript.org/#/user/WolfCTarver/folder/MyPrograms/program/Lab3MyTestSTAR/edit

	~~[[File:GlowScriptL3SimulationResult.png\|300px\|thumb\|right\|Computational Model Result of Glowscript link code.]]~~


	This is from a prior lab where a star is orbiting a black hole of unknown mass located at the origin. The star has a mass of 2.0e30 kg. The position data (x and y coordinates) of the star will be generated in the starter code, and the resulting trajectory will be unique to me, generated and keyed to my student email by replacing the dummy email address in line 11.		This is from a prior lab where a star is orbiting a black hole of unknown mass located at the origin. The star has a mass of 2.0e30 kg. The position data (x and y coordinates) of the star will be generated in the starter code, and the resulting trajectory will be unique to me, generated and keyed to my student email by replacing the dummy email address in line 11.

Ctarver3: /* Computational Model */

2023-12-03T11:29:16Z

Computational Model

← Older revision		Revision as of 07:29, 3 December 2023
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	Additionally, here is my supplied computationally simulation model: https://www.glowscript.org/#/user/WolfCTarver/folder/MyPrograms/program/Lab3MyTestSTAR/edit		Additionally, here is my supplied computationally simulation model: https://www.glowscript.org/#/user/WolfCTarver/folder/MyPrograms/program/Lab3MyTestSTAR/edit

	[[File:GlowScriptL3SimulationResult.png.\|300px\|right\|Computational Model Result of Glowscript link code.]]		[[File:GlowScriptL3SimulationResult.png\|300px\|thumb\|right\|Computational Model Result of Glowscript link code.]]

Ctarver3: /* Computational Model */

2023-12-03T11:27:57Z

Computational Model

← Older revision		Revision as of 07:27, 3 December 2023
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	Additionally, here is my supplied computationally simulation model: https://www.glowscript.org/#/user/WolfCTarver/folder/MyPrograms/program/Lab3MyTestSTAR/edit		Additionally, here is my supplied computationally simulation model: https://www.glowscript.org/#/user/WolfCTarver/folder/MyPrograms/program/Lab3MyTestSTAR/edit

	[[File:GlowScriptL3SimulationResult.png.\|300px\|right~~\|thumb~~\|Computational Model Result of Glowscript link code.]]		[[File:GlowScriptL3SimulationResult.png.\|300px\|right\|Computational Model Result of Glowscript link code.]]

Ctarver3: /* Computational Model */

2023-12-03T11:25:17Z

Computational Model

← Older revision		Revision as of 07:25, 3 December 2023
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	Additionally, here is my supplied computationally simulation model: https://www.glowscript.org/#/user/WolfCTarver/folder/MyPrograms/program/Lab3MyTestSTAR/edit		Additionally, here is my supplied computationally simulation model: https://www.glowscript.org/#/user/WolfCTarver/folder/MyPrograms/program/Lab3MyTestSTAR/edit

	[[File:~~CMSimpleSketch~~.~~jpeg~~\|300px\|right\|thumb\|~~A diagram~~ of ~~the simple example~~]]		[[File:GlowScriptL3SimulationResult.png.\|300px\|right\|thumb\|Computational Model Result of Glowscript link code.]]

Ctarver3: /* Computational Model */

2023-12-03T11:17:52Z

Computational Model

← Older revision		Revision as of 07:17, 3 December 2023
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	Additionally, here is my supplied computationally simulation model: https://www.glowscript.org/#/user/WolfCTarver/folder/MyPrograms/program/Lab3MyTestSTAR/edit		Additionally, here is my supplied computationally simulation model: https://www.glowscript.org/#/user/WolfCTarver/folder/MyPrograms/program/Lab3MyTestSTAR/edit

			[[File:CMSimpleSketch.jpeg\|300px\|right\|thumb\|A diagram of the simple example]]


	This is from a prior lab where a star is orbiting a black hole of unknown mass located at the origin. The star has a mass of 2.0e30 kg. The position data (x and y coordinates) of the star will be generated in the starter code, and the resulting trajectory will be unique to me, generated and keyed to my student email by replacing the dummy email address in line 11.		This is from a prior lab where a star is orbiting a black hole of unknown mass located at the origin. The star has a mass of 2.0e30 kg. The position data (x and y coordinates) of the star will be generated in the starter code, and the resulting trajectory will be unique to me, generated and keyed to my student email by replacing the dummy email address in line 11.

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	Then, we launch from the side of the planet that is in the same direction as the planet's motion, but then immediately after takeoff the engines fail! We are now at the mercy of the gravitational forces of the planet and the black hole. The mission is to fly around the black hole (not necessarily orbiting it, but rather getting close to it at some point) without crashing on the planet or the black hole. To do this, we will need to determine what initial velocity your ship must have when it leaves the surface of the planet.		Then, we launch from the side of the planet that is in the same direction as the planet's motion, but then immediately after takeoff the engines fail! We are now at the mercy of the gravitational forces of the planet and the black hole. The mission is to fly around the black hole (not necessarily orbiting it, but rather getting close to it at some point) without crashing on the planet or the black hole. To do this, we will need to determine what initial velocity your ship must have when it leaves the surface of the planet.
	We simulate the motion of the spaceship around the planet and black hole, by calculating all the necessary gravitational forces and using Newton's 2nd law to predict the motion of the planet and the spaceship. A snapshot of the result is to the right.		We simulate the motion of the spaceship around the planet and black hole, by calculating all the necessary gravitational forces and using Newton's 2nd law to predict the motion of the planet and the spaceship. A snapshot of the result is to the right.

	==Examples==		==Examples==

Ctarver3 at 11:14, 3 December 2023

2023-12-03T11:14:09Z

← Older revision		Revision as of 07:14, 3 December 2023
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	</code>		</code>

			Additionally, here is my supplied computationally simulation model: https://www.glowscript.org/#/user/WolfCTarver/folder/MyPrograms/program/Lab3MyTestSTAR/edit
			This is from a prior lab where a star is orbiting a black hole of unknown mass located at the origin. The star has a mass of 2.0e30 kg. The position data (x and y coordinates) of the star will be generated in the starter code, and the resulting trajectory will be unique to me, generated and keyed to my student email by replacing the dummy email address in line 11.

			First, we analyze the star's motion to find the net force on the star for all points in the data set using the scaffolded starter code, beginning on line 96. Assume the net force on the star is due solely to a black hole located at the origin and that the time between data points in the trajectory is one day. Using the results of the analysis, we estimate the mass of the black hole.

			Then, we launch from the side of the planet that is in the same direction as the planet's motion, but then immediately after takeoff the engines fail! We are now at the mercy of the gravitational forces of the planet and the black hole. The mission is to fly around the black hole (not necessarily orbiting it, but rather getting close to it at some point) without crashing on the planet or the black hole. To do this, we will need to determine what initial velocity your ship must have when it leaves the surface of the planet.
			We simulate the motion of the spaceship around the planet and black hole, by calculating all the necessary gravitational forces and using Newton's 2nd law to predict the motion of the planet and the spaceship. A snapshot of the result is to the right.
	==Examples==		==Examples==