Circular Motion & Centripetal Force

Description

A ball on a string orbits in a circle. The velocity vector (tangent) and centripetal force vector (inward) are shown continuously updating. When the string breaks, the ball flies off tangentially, illustrating why centripetal force is required.

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Phases

#	Phase Name	Duration	Description
1	Setup	1.5s	Circle path and center point appear
2	Orbital Motion	4s	Ball orbits with velocity and force vectors
3	String Breaks	2s	Ball flies off tangentially
4	Formula	2s	Fc = mv²/r displayed

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Layout

+--------------------------------------------------+
|  Circular Motion                                 |
|                                                  |
|         v→ (tangent)                             |
|    ____/____                                     |
|   /    ↙Fc  \       Fc = mv²/r                  |
|  |   center  |                                   |
|   \         /                                    |
|    \-------/                                     |
|                                                  |
|   Without Fc: ball flies off tangentially        |
+--------------------------------------------------+

Area Descriptions

• Center: circular orbit
• Velocity arrow: tangent to circle
• Force arrow: pointing toward center

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Assets & Dependencies

• Fonts: LaTeX / sans-serif
• Manim version: ManimCE 0.19.1

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Notes

• High school level
• Velocity = green, centripetal force = red
• String as dashed line from ball to center