Applied Mechanics and Graphic Statics
A point subjected to a number of forces will be in equilibrium, if

Two resolved parts in any two directions at right angles are equal
Algebraic sum of the moments of the forces about the point is zero
Sum of resolved parts in any two directions at right angles, are both zero
Algebraic sum of the forces is zero

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Applied Mechanics and Graphic Statics
A square hole is punched out of a circular lamina, the diagonal of the square being the radius of the circle. If ‘r’ is the radius of the circle, the C.G. of the remainder from the corner of the square on the circumference will be

[r (π - 0.5)]/(π + 0.25)
[r (π + 0.25)]/(π - 0.5)
[r (π - 0.25)]/(π - 0.5)
[r (π + 0.25)]/(π + 0.5)

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