Applied Mechanics and Graphic Statics
The centre of gravity of a trapezoidal dam section whose top width is a, bottom width is band the vertical side is a, from its vertical face is

(b² + bc + c²)/3 (b + c)
(a² + ab + c²)/3 (a + c)
None of these
(a² + ab + b²)/3 (a + b)

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Applied Mechanics and Graphic Statics
One end of an elastic string of natural length ‘l’ 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

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

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