शुक्रवार, १० ऑक्टोबर, २०२५

Max time

Optimized Circular String Motion

Optimized Circular Motion

Third string has the longest path with optimized radii

First String (R=100)
Second String (R=80)
Third String (R=60)
Path Traces

String Controls

First String
100
Second String
80
Third String
60

Path Controls

Show Path 1
Show Path 2
Show Path 3

Animation Controls

Speed:
5

Optimized Configuration

Optimal Radii for Longest Third Path:

• First String: Radius = 100

• Second String: Radius = 80

• Third String: Radius = 60

• Total distance from center to third point = 240

• This creates the largest circular path for the third point

For constant angular speed, the linear speed at the end of a string is proportional to its radius (v = ω × r).

To maximize the path length of the third point, we need to maximize the total radius from center to third point.

With these values, the third point travels the longest path while maintaining a visually pleasing proportion between strings.

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