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

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

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Applied Mechanics and Graphic Statics
The following is not a law of static friction:

The force of friction always acts in a direction opposite to that in which the body tends to move
The magnitude of the limiting friction bears a constant ratio to the normal reaction between two surfaces
The force of friction depends upon the roughness of the surface
The force of friction is dependent upon the area of contact

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