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⬆️ 法向力（支持力）计算器Normal Force Calculator
计算物体在水平面或斜面上受到的法向力（支持力）N = mg·cos θ，可加上垂直于表面向下压或向上拉的外力，并给出沿斜面的重力分量。Calculate the normal force N = mg·cos θ on an object on a flat or inclined surface, with an optional extra force pressing into or pulling away from the surface, plus the weight component along the slope.
使用说明与常见问题How-to & FAQ
「法向力（支持力）计算器」是什么？What is the Normal Force Calculator tool?
计算物体在水平面或斜面上受到的法向力（支持力）N = mg·cos θ，可加上垂直于表面向下压或向上拉的外力，并给出沿斜面的重力分量。Calculate the normal force N = mg·cos θ on an object on a flat or inclined surface, with an optional extra force pressing into or pulling away from the surface, plus the weight component along the slope.
如何使用「法向力（支持力）计算器」？How do I use the Normal Force Calculator tool?
在「法向力（支持力）计算器」中，填写「质量 kg」、「斜面角度（度，水平面为 0）」、「额外垂直力 N（压向表面为正，拉离为负）」、「重力加速度 m/s²」等参数，结果会随输入实时计算并显示在下方。In the Normal Force Calculator: Fill in "Mass kg", "Incline angle (degrees, 0 for flat)", "Extra perpendicular force N (into surface +, away −)", "Gravity m/s²"; results are recalculated instantly as you type.
用的是什么公式？What is the formula?
斜面上 N = m·g·cos θ + F⊥，F⊥ 为垂直于表面的外力（压向表面为正）。水平面 θ = 0，N = mg + F⊥。On an incline N = m·g·cos θ + F⊥, where F⊥ is any extra force perpendicular to the surface (positive into it). On a flat surface θ = 0 and N = mg + F⊥.
法向力总等于重力吗？Is the normal force always the weight?
不是。只有水平面上、没有其他竖直力时才相等。斜面、向下推或向上拉都会改变它，电梯加速时也会变化。No. They are equal only on a flat surface with no other vertical forces; slopes, pushes and pulls change it, and so does an accelerating lift.
和摩擦力有什么关系？How does it relate to friction?
滑动摩擦力 f = μ·N，所以法向力越大摩擦力越大。Sliding friction f = μ·N, so a larger normal force means more friction.
计算结果可以用于作业或工程吗？Can I use the results for homework or engineering?
「法向力（支持力）计算器」使用教科书标准公式（公式写在说明和常见问题中），适合学习和估算核对；涉及安全的工程设计请以规范和实测为准。The Normal Force Calculator uses standard textbook formulas (given in the description and FAQ), which is good for learning and checking estimates; for safety-critical engineering follow codes and measured values.
「法向力（支持力）计算器」免费吗？需要注册吗？Is the Normal Force Calculator free? Do I need an account?
「法向力（支持力）计算器」完全免费，无需注册或安装，打开网页即可使用，手机和电脑都能用；输入的内容只在你的浏览器本地处理。The Normal Force Calculator is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.