1.

Four identical spheres each of radius 'a' are placed on a horizontal table touching one another so that their centres lie at the corners of a square of side 2a. Position of their centre of mass is :

Answer»

2A, a
3a, a
a, a
`a//2 a//2`

Solution :Let .O. be the ORIGIN. Then

`X=(Mxx0+Mxx2a+M(2a)+Mxx0)/(M+M+M+M)=a`
Then `y=(Mxx0+Mxx0+Mxx2a+Mxx2a)/(M+M+M+M)=a`


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