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Chapter 10 Center of Gravity
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10.1 Center of Gravity Center of Gravity – (CG) the point at the center of its weight distribution
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10.1 Center of Gravity
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CG’s follow a smooth parabolic pathway when the object is thrown through the air
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10.2 Center of Mass Center of Mass – point at the center of an object’s mass distribution, where all its mass can be considered to be concentrated. –(generally the same as center of weight)
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10.3 Locating the Center of Mass For a uniform object: –find the geometric center or midpoint also known as the balance point
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10.3 Locating the Center of Mass
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The CG of an object may be located where no actual material exists. –For example, where is the CG of a doughnut?
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10.4 Toppling Rule for Toppling: –If the CG of an object is above the area of support, the object will remain upright. If the CG extends outside the area of support, the object will topple.
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area of support
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Why does a football player stand with both feet apart?
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to increase the size of his support base
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Why does he bend his knees?
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to lower his CG
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10.5 Stability Unstable Equilibrium – the state of an object balanced so that any small displacement or rotation lowers its CG –(EX: paper cone on its tip)
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10.5 Stability Stable Equilibrium – the state of an object balanced so that any small displacement or rotation raises its CG –(EX: paper cone on its base)
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10.5 Stability Neutral Equilibrium – the state of an object balanced so that any small movement neither raises nor lowers its CG –(EX: paper cone on its side)
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What happens to the CG of a building that has structure below ground?
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It lowers causing greater building stability.
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10.6 Center of Gravity of People Different people have different CG’s. EX: men and women have different CG’s due to weight distribution
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Chapter 10 Key Terms Center of gravity Center of mass Neutral equilibrium Stable equilibrium Unstable equilibrium
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