Give the location of centre of mass of ring of uniform mass density?
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It is the average position of all the parts of the system, weighted according to their masses. For simple rigid objects with uniform density, the center of mass is located at the centroid. For example, the center of mass of a uniform disc shape would be at its center
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For the ring, We know that center of mass lies on the symmetrical axis, A ring is a uniform figure hence center of mass will lie where the symmetrical axis intersects with another symmetrical axis.
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