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Four identical spheres each of radius a ...

Four identical spheres each of radius a are placed on a horizontal table touching one another so that their centres lies at the corners of a square of side 2 a. Find the position of their centre of mass.

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The correct Answer is:
(a,a)
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Knowledge Check

  • Three particles each of mass M are placed at the three corners of an equilateral triangle of side l another particle of mass m is placed at the midpoint of any side What is the gravitational potential energy of the system

    A
    `-2/sqrt3(GMm)/(l)(1-2sqrt3)`
    B
    `-2/sqrt3(GMm)/(l)(1+2sqrt3)`
    C
    `-sqrt(3)/2(GMm)/(l)(1-2sqrt3)`
    D
    `-sqrt(3)/2(GMm)/(l)(1+2sqrt3)`

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