Applied Mechanics and Graphic Statics
The Law of Polygon of Forces states that

If forces acting on a point can be represented in magnitude and direction by the sides of a polygon taken in order, then the resultant of the forces will be represented in magnitude and direction by t
If forces acting on a point can be represented in magnitude and direction by the sides of a polygon in order, the forces are in equilibrium
If forces acting on a point can be represented of a polygon taken in order, their sides of a polygon taken in order, their resultant will be represented in magnitude and direction by the closing side
If a polygon representing the forces acting at point in a body is closed, the forces are in equilibrium

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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 / 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 simple harmonic motion
a rectilinear motion with constant speed
None of these

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