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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Applied Mechanics and Graphic Statics
One end of an elastic string of natural length / and modulus X is kept fixed while to the other end is attached a particle of mass m which is hanging freely under gravity. The particle is pulled down vertically through a distance x, held at rest and then released. The motion is

a damped oscillatory motion
a rectilinear motion with constant speed
None of these
a simple harmonic motion

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