推荐回答(4个)
确定重心位置的常用方法有以下四种,
一、几何法 形状规则、质量分布均匀的物体的重心在它的几何中心.如质量分布均匀的球体的重心就在球心,质量分布均匀的直棒的重心就在棒的中点.
二、支撑法 用手指支持一个勺子,总可以找到一个位置,使勺子水平地支持在手指上.手指上方勺子上的0点就是勺子的重心.这时勺子受到两个力:竖直向上的手指的支持力FN、竖直向下的重力G.由二力平衡知识可知,这时勺子保持平衡,如果重心0不在手指的正上方,支持力FN和重力G将不在同一直线上,勺子就不能保持平衡了,
三、悬挂法
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先在A点把薄板悬挂起来,物体静止时,据二力平衡,物体所受的重力与悬绳的拉力在同一竖直线上,所以物体的重心一定在通过A点的竖直线AB上.然后在C点把物体再悬挂一次,同理可知,物体的重心一定在通过C点的竖直线CD上,AB和CD的交点0,就是薄板重心的位置,
四、理论计算法
物体的重心,可以依据杠杆平衡条件和支撑法原理,平衡时支点处即为重心位置。
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物体的重心判断:可以用悬挂法或支撑法不断尝试调整找出重心。
物体重心的计算:规则物体重心好计算,也就是其中心点。
需要注意的是物体处于任何方位时所有各组成支点的重力的合力都通过的那一点,物体的重心并不一定在物体本身上。
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三角形的各种心:
重心 三角形三条中线的交点叫做三角形的重心。
内心 三角形三条角平分线的交点。 性质:到三边距离相等。
垂心 三角形三条高的交点。 性质:由三角形的垂心可以造成的四个等(外接)圆三角形。
外心 三角形三边中垂线的交点。 性质:到三顶点距离相等。
旁心 三角形两个外角平分线与第三内角平分线交点,通常在三角形外。性质:到三边距离相等
这个重心的定义是在重力场中,物体处于任何方位时所有各组成支点的重力的合力都通过的那一点,物体的重心并不一定在物体本身上。规则物体的重心好算,即其中心点。通俗点讲重心就是物体重量集中的中心,是一个抽象的概念,可以认为是一点,任意形状物体的重心如要精确计算,将其视为N多规则物体的组合,最后再合并,通常生活中用 悬挂法 或支撑法 不断尝试调整找出最近似的重心。
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