Four bodies of each mass ‘M’ are kept at the vertices of a square of side ‘x’ m. The resultant force on any mass is
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a
F=GM22x222+1
b
F=GM2x222+1
c
F=GM22x222−1
d
F=GM2x222−1
answer is A.
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Detailed Solution
The force on ‘C’ due to mass at A, B and D are F3,F1 and F2 respectively F1=F2=GM2x2 ; F1=F12+F22 F3=GM22x2 F1=2F1 ∴θ=900 ∴ Net force on ‘M’ at ‘c’ isF=F3+F1F=F3+2F1F=GM22x2+2GM2x2F=GM22x22+12F=GM22x2(22+1)