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

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Applied Mechanics and Graphic Statics
The following is in unstable equilibrium

A satellite encircling the earth
A uniform solid cone resting on its base on a horizontal plane
A uniform solid cone resting on a generator on a smooth horizontal plane
A solid cube resting on one edge

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