First slide

Location of centre on mass for multiple point masses

Question

Four identical spheres each of radius 10 cm and mass 1 kg each are placed on a horizontal surface touching one another so that their centres are located at the corners of square of side 20 cm. What is the distance of their center of mass from center of either sphere ?

Easy

A

5 cm
B

10 cm
C

20 cm
D

None of these

Solution

The center of mass will be at the intersection of diagonals. Its distance from the center he of either sphere will be $(20 \sqrt{2}) / 2 = 10 \sqrt{2} cm$

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