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Chapter 9

Center of Gravity and Centroid

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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 …
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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 …
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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 …
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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 …
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The paraboloid of revolution is an axially symmetric surface generated by rotating a parabola around its axis. This shape has several applications in …
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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, …
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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 …
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Pappus and Guldinus's theorems are powerful mathematical principles that are used for finding the surface area and volume of composite shapes. For …
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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 …
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In mechanical engineering, fluid pressure plays a critical role in designing systems that utilize liquid flow, such as hydraulic systems, pumps, and …
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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, …
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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 …
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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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The ability to confine and manipulate single particles in free solution is a key enabling technology for fundamental and applied science. Methods for …
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The center of resistance (CRES) is regarded as the fundamental reference point for predictable tooth movement. The methods used to estimate the CRES of …
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Gait initiation (GI), the transient phase between orthograde posture and steady-state locomotion, is a functional task and an experimental paradigm that …