Center of Mass
Core Sentence / 核心句
The center of mass is the mass-weighted average position of a system.
\qquad \vec r_{CM}=\frac1M\int\vec r\,dm$$ ## Watch Out / 易错点 质心不必落在物体材料内部;连续体积分时先按线、面、体密度写出 $dm$。 ## Mentioned In / 出现位置 - [[AP物理C力学第5次正课-圆周运动万有引力与质心#7. Center of Mass / 质心|第5次正课 · center of mass]] - [[AP物理C力学第8次正课-冲量动量守恒与碰撞#7. Center-of-Mass Motion / 质心运动|第8次正课 · center-of-mass dynamics]] ## Connected Notes / 连接 - [[System Boundary]] - [[Integrals]] - [[Vectors]] - [[Conservation of Linear Momentum]]