$\"\"$

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The point masses $\"\"$ and $\"\"$ be located at $\"\"$ and $\"\"$ .

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Find the center of mass of the point of masses lying on the $\"\"$ -axis.

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Moments and Center of mass: One dimensional system :

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Let the point masses $\"\"$ be located at $\"\"$ .

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1. The moment about the origin is $\"\"$ .

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2. The center of mass is $\"\"$ , where $\"\"$ is the total mass of the system.

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Find $\"\"$ .

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Substitute $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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Total mass of the system is $\"\"$ .

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Substitute $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$ .

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The center of mass is $\"\"$ .

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$\"\"$

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The center of mass is $\"\"$ .