Applied Mechanics and Graphic Statics
The necessary condition of equilibrium of a body is:

Algebraic sum of horizontal components of all the forces must be zero
Algebraic sum of the moments of the forces about a point must be zero
Algebraic sum of vertical components of all the forces must be zero
All (A), (B) and (C)

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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

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

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Applied Mechanics and Graphic Statics
If a set of given forces are such that their free vectors build a closed polygon, then

The resultant force and resultant couple both may not be zero
The resultant force and resultant couple are always zero
The resultant force is zero but resultant couple may not be zero
The resultant force is zero but resultant couple is not zero

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