Find the potential energy of a system of four particles placed at the vertices of a square of side l. Also obtain the potential at the centre of the square.

Dear Student,

Let m be the mass of each particle.

We have four pairs of masses separated by a distance of l and two pairs separated by a distance of √2l.

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consider a sqaure ABCD,and centre O

OA=1/2 AC =1/2  I root2 = I/root2

OA=OB=OC=OD=I/root2

Total potential energy = -2Gm2/I  [ 2 + 1/root2]

 = -5.414Gm2/I

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Hi Ravija! 

Let m be the mass of each particle.

We have four pairs of masses separated by a distance of l and two pairs separated by a distance of 2l.

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