First slide
Location of centre on mass for multiple point masses
Question

A Hollow sphere is filled with water. Which of the following points is the position of C.M. of the system shown in fig

Easy
Solution

Water inside the sphere is a solid hemisphere of liquid.

For a solid hemisphere , more mass is accumulated near its base .So distance of COM of a solid hemisphere from the centre of base must be less than R/2 (R = Radius).

Therefore 'c' is the most appropriate position of COM.

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