Editing 2924: Pendulum Types
Warning: You are not logged in. Your IP address will be publicly visible if you make any edits. If you log in or create an account, your edits will be attributed to your username, along with other benefits.
The edit can be undone.
Please check the comparison below to verify that this is what you want to do, and then save the changes below to finish undoing the edit.
Latest revision | Your text | ||
Line 10: | Line 10: | ||
==Explanation== | ==Explanation== | ||
+ | {{incomplete|Embed animation of double pendulum crom wikipedia page. Created by CREEPING TENDRILS OF STARCH - Please change this comment when editing this page. Do NOT delete this tag too soon.}} | ||
This comic shows and describes several {{w|pendulums}}. The first three are actual physics models, while the last one is made up for absurdity. This is a recurring format of xkcd comics, as shown in [[2289: Scenario 4]]. | This comic shows and describes several {{w|pendulums}}. The first three are actual physics models, while the last one is made up for absurdity. This is a recurring format of xkcd comics, as shown in [[2289: Scenario 4]]. | ||
− | + | The simple pendulum consists of a joint, rod, and weight, and when released (inside a gravity field or other accelerating force), it swings in a regular fashion. The "period" of a pendulum is the amount of time it takes to complete one cycle, swinging back and forth. In a simple pendulum, the period is consistent, predictable, and depends primarily on the length of the pendulum (being largely independent of both mass and length of arc). This predictability makes pendulums useful in applications such as timekeeping, where the earliest accurate clocks (such as a {{w|grandfather clock}}) made use of pendulums as regulators. | |
− | |||
− | |||
− | |||
− | |||
− | The nightmare pendulum appears to be an inverted double pendulum, with an additional uninverted pendulum swinging within its much more substantial weight (which is also adorned with archaic/mystical symbols). The comic claims that this pendulum summons {{w|Maxwell's demon}}, jokingly implying that Maxwell’s demon is an actual entity. In fact, Maxwell's demon is a thought experiment in which a being - the demon - is posted at a tiny door between two gas vessels. It lets only slow-moving (cold) gas molecules move through the door in one direction, and only fast-moving (hot) ones in the other direction. One vessel gradually becomes hot and the other cold, | + | The {{w|double pendulum}} consists of 2 joints, 2 rods, and a weight, and when released, it swings in a {{w|chaos theory|chaotic fashion}}. Interestingly, this follows by the mathematical definition of chaotic, being that small changes in initial conditions result in vast differences in end results. This pendulum is thus nearly unpredictable, and due to this chaotic nature, real life applications are very limited. |
+ | |||
+ | The {{w|inverted pendulum}} consists of a simple pendulum that is placed upside down, with some powered apparatus underneath vibrating it vertically to keep it upwards. If left unpowered it will fall, hence the "unstable" part. The comic appears to depict {{w|Kapitza's pendulum}}. See a [video demonstration by Harvard Natural Sciences](https://www.youtube.com/watch?v=5oGYCxkgnHQ). | ||
+ | |||
+ | The nightmare pendulum appears to be an inverted double pendulum, with an additional uninverted pendulum swinging within its much more substantial weight (which is also adorned with archaic/mystical symbols). The comic claims that this pendulum summons {{w|Maxwell's demon}}, jokingly implying that Maxwell’s demon is an actual entity. In fact, Maxwell's demon is a thought experiment in which a being - the demon - is posted at a tiny door between two gas vessels. It lets only slow-moving (cold) gas molecules move through the door in one direction, and only fast-moving (hot) ones in the other direction. One vessel gradually becomes hot and the other cold, appearing to violate the {{w|second law of thermodynamics}}. It doesn't, but the thought experiment has stimulated much discussion since it was first proposed by {{w|James Clerk Maxwell}} in 1867. | ||
The title text continues this joke explicitly, by referencing a real paper titled [https://pubs.rsc.org/en/content/articlelanding/2014/sm/c4sm00265b Vibro-levitation and inverted pendulum: parametric resonance in vibrating droplets and soft materials] and implying that the paper ties the [https://www.youtube.com/watch?v=3zoTKXXNQIU "creepy fingers"] produced in this way to Maxwell's demon. The paper only actually suggests that the phenomenon is related to inverted pendulum dynamics. This gives a humorous example for the abuse of citations. Technically, the cited reference only supports the claim immediately before it, that the behavior of a cornstarch-water mix (also known as {{w|Non-Newtonian fluid#Oobleck|oobleck}}) can be modeled as inverted pendulums. But by proximity the reference also seems to support the part about Maxwell's demon. The illusion is helped by the description of the cornstarch as creepy, which is added in the beginning without any visible separation from the actual content of the citation. | The title text continues this joke explicitly, by referencing a real paper titled [https://pubs.rsc.org/en/content/articlelanding/2014/sm/c4sm00265b Vibro-levitation and inverted pendulum: parametric resonance in vibrating droplets and soft materials] and implying that the paper ties the [https://www.youtube.com/watch?v=3zoTKXXNQIU "creepy fingers"] produced in this way to Maxwell's demon. The paper only actually suggests that the phenomenon is related to inverted pendulum dynamics. This gives a humorous example for the abuse of citations. Technically, the cited reference only supports the claim immediately before it, that the behavior of a cornstarch-water mix (also known as {{w|Non-Newtonian fluid#Oobleck|oobleck}}) can be modeled as inverted pendulums. But by proximity the reference also seems to support the part about Maxwell's demon. The illusion is helped by the description of the cornstarch as creepy, which is added in the beginning without any visible separation from the actual content of the citation. |