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Chapter 9

Center of Gravity and Centroid

重心
重心
The center of gravity is the point at which an object's weight appears to be concentrated and can be used to balance the object perfectly. This point ...
质心
质心
The center of mass is the point at which the total mass of an object can be said to be concentrated. It is a fundamental principle in mechanics and ...
物体的质心
物体的质心
The centroid is an important concept in engineering, physics, and mechanics. It is the geometric center of a body. It always lies within the body except ...
物体的质心:问题解决
物体的质心:问题解决
The centroid of a body is a crucial concept in engineering and physics. Finding the centroid of a body can help determine its stability, its balance ...
Revolution 抛物面的质心
Revolution 抛物面的质心
The paraboloid of revolution is an axially symmetric surface generated by rotating a parabola around its axis. This shape has several applications in ...
复合体
复合体
A composite body is a body made up of multiple parts, connected to form a larger, unified object. Each part has its own weight and center of gravity, ...
Pappus 和 Guldinus 定理
Pappus 和 Guldinus 定理
The two theorems developed by Pappus and Guldinus are widely used in mathematics, engineering, and physics to find the surface area and volume of any body ...
Pappus 和 Guldinus 定理:问题解决
Pappus 和 Guldinus 定理:问题解决
Pappus and Guldinus's theorems are powerful mathematical principles that are used for finding the surface area and volume of composite shapes. For ...
一般分布式载荷的合力
一般分布式载荷的合力
While designing structures exposed to non-uniform loads, it is crucial to consider the resultant force and its location. This resultant force is a single ...
流体压力
流体压力
In mechanical engineering, fluid pressure plays a critical role in designing systems that utilize liquid flow, such as hydraulic systems, pumps, and ...
恒定宽度平板上的流体压力
恒定宽度平板上的流体压力
When a body is submerged in water, it experiences fluid pressure acting normal on its surface and distributed over its area. For better design structures, ...
恒定宽度弯曲板上的流体压力
恒定宽度弯曲板上的流体压力
When a curved plate of constant width is submerged in a liquid, the pressure acting normal to the plate varies continuously both in magnitude and ...
可变宽度平板上的流体压力
可变宽度平板上的流体压力
When a flat plate is submerged in a fluid, the fluid exerts pressure on the plate. This pressure can lead to many different phenomena, including drag and ...
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