What can be said about the center of mass of a uniform hemisphere without making any calculation? Will its distance from the center be more than r/2 or less than r/2?


The location of the center of mass of any system is close to the part where most of the mass of the system is present. In this case, more mass of the hemisphere is present in the lower portion which is present at a distance less than r/2 from the center.


So, the distance of the center of mass will be less than r/2 from the center.


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