# 圆锥摆 - Conical Pendulum

圆锥摆运动的交互式模拟，具有3D可视化、力分解和圆周运动分析

> 标准页面: https://elysiatools.com/zh/visualizations/conical-pendulum

- **分类:** Physics

## 概述

Interactive simulation of conical pendulum motion with 3D visualization and comprehensive force analysis. Features circular motion in horizontal plane with constant angle θ to vertical. Physics formulas: centripetal force F_c = m·ω²·r = m·ω²·L·sin(θ), tension components T·cos(θ) = mg (vertical) and T·sin(θ) = m·ω²·L·sin(θ) (horizontal), period T = 2π√(L·cos(θ)/g), radius r = L·sin(θ), and velocity v = ω·r = ω·L·sin(θ). Three viewing modes: 3D perspective view showing conical motion, top view showing circular trajectory with velocity vector, and side view showing oscillatory projection. Real-time force diagram with tension T, gravity mg, and centripetal force F_c vectors. Motion charts: velocity vs time, centripetal force vs time. Energy analysis: constant kinetic energy (½mv²), potential energy (mgh), and total energy showing no energy exchange during motion. Comparison section highlighting differences from simple pendulum (circular vs oscillatory motion, constant vs varying angle, different period formulas, constant vs oscillating kinetic energy). Adjustable parameters: string length L, cone angle θ, angular velocity ω, gravity g, mass m, and trail length. Real-time displays: current angle, angular velocity, period, radius, time, tension, centripetal force, and energy values. Educational content covering force decomposition, circular motion principles, energy considerations, and applications in centrifugal governors and amusement rides. Multi-language support (zh, en, es, fr, de, ru, pt).

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