Which is faster * Brachistochrone Curve 2 ❤️ C4D4U

Which is faster * Brachistochrone Curve 2 ❤️ C4D4U

Which is faster * Brachistochrone Curve 2 ❤️ C4D4U on YouTube

Which is faster? First write in the comments and then start the video!!!
Even though it is an animation / simulation the results are very real.
On the website in the following link, you are welcome to check this for the lower 3 tracks:
Courtesy of GeoGebra: https://www.geogebra.org/m/xHHUNEcR
Thank you for that M. ❤️😃❤️
Settings:
x Blue
x Cyan
x Orange n=7
(Please note that the colors in my animation / simulation are different.)

In my animation / simulation, the balls are calculated only by the Dynamics Engine of the program.
—————————————————————————————————–
More about Brachistochrone:
https://de.wikipedia.org/wiki/Brachistochrone

https://google.com/search?q=brachistochrone+curve

More of my videos about Brachistochrone:
Gravitational Illusions:
Normal:
https://youtu.be/09Qnr6BlqSQ
10 x Longer
https://youtu.be/xV_JQIo9pnM

Why is a ball faster on a brachistochrone curve?

Why is a ball faster on a brachistochrone curve than on a straight path? It’s due to how gravity acts along the curve.
On a straight path, gravity only partially contributes to the ball’s motion since the path is inclined. On a brachistochrone curve, however, the path is designed so that gravity acts more effectively, especially at the start when the ball is moving slowly, thus accelerating it more quickly.

The cycloid curve is shaped in such a way that gravity’s acceleration is maximized at the beginning, where the ball starts from a higher point. Since the ball initially rolls down a steeper path, it quickly gains speed.
After this steep start, the path becomes less steep, allowing the high speed to be efficiently utilized to cover the remaining distance quickly.
On a straight path, the acceleration is limited by the constant incline, resulting in slower acceleration and, consequently, a longer time to reach the destination.

The mathematical description and derivation of the brachistochrone are based on the principle of least action, a fundamental concept in physics that states nature always chooses the path that requires the least “action” (a combination of energy and time). Thus, the brachistochrone is the path where the total time a ball takes to move from one point to another is minimized by optimally utilizing the properties of gravity.

————————————————————
Rendertime: Top to Side
00 Days
01 Hours
05 Minutes
12 Seconds
————————————————————
Rendertime: Side
00 Days
11 Hours
30 Minutes
55 Seconds
————————————————————
Rendertime: Goal Top
00 Days
04 Hours
21 Minutes
26 Seconds
————————————————————
Rendertime: Goal Side
00 Days
08 Hours
07 Minutes
27 Seconds
————————————————————
Rendered by multiple computers!

https://c4d4u.one/my-equipment/
————————————————————

In the future I will learn more Blender and Houdini FX. Blender is very cool and free.

❤️❤️❤️———————————————————————————————

If you would like to support me, feel free to buy me a coffee ☕ 😃❤️

❤️❤️❤️———————————————————————————————

Twitter:
https://twitter.com/C4D4U
Facebook:
https://www.facebook.com/C4D4U
Instagram:
https://www.instagram.com/c4d4u/
TikTok:
https://www.tiktok.com/@c4d4u

Relax and enjoy this video. ASMR for my eyes. Some people make it happy and satisfied. It also has a calming effect.

ASMR = Autonomous sensory meridian response

Related Posts

• All my Videos from YouTube
• Funny Balloon (Cinema 4D)
• Marble Run Animation #13 Ultimate ❤️ C4D4U
• Softbody Simulation Playground V19
• Which is faster * Brachistochrone Curve ❤️ C4D4U
• Who Reaches the Goal First? Physics of Motion on an Inclined Plane | C4D4U
• Who is Faster? - An Experiment on Gravity and Falling Speed | C4D4U
• Who is faster? Gravitational Illusions - I was wrong and you? ❤️ C4D4U