Applied Mechanics 1-50

Theoretical mechanics is a science:

• on the general laws of mechanical motion and equilibrium of material bodies;

• on the general laws of fluid and gas;

• about strength, stability, rigidity;

• on the most general laws of motion and interaction of planets, as well as natural phenomena;

• in which constraints are studied;

Statics is the branch of theoretical mechanics which focuses:

• on the equilibrium of material bodies (particles) under the action of forces (moments of force);

• on the study of reaction force of constraints;

• on the study of rigid body motion with respect to moving frame;

• on the study of constraints;

• on the general laws of fluid and gas;

Two forces can be in equilibrium, if they are equal in magnitude, opposite in direction and collinear in action.

• Law of equilibrium of two forces;

• Triangle law of forces;

• Law of superposition;

• Theorem of transmissibility of a force;

• Law of action and reaction;

The point of application of a force may be transmitted along its line of action without changing the effect of the force on any rigid body to which it may be applied.

• Theorem of transmissibility of a force;

• Law of action and reaction;

• Law of superposition;

• Law of equilibrium of two forces;

• Triangle law of forces;

Force is defined by:

• its magnitude, its direction, its point of application;

• its weight;

• its direction;

• its magnitude;

• its resultant;

What is called force?

• measure of interaction of bodies;

• movement of bodies;

• measure of weight;

• measure of gravity;

• mechanical action;

Parallelogram law of forces states that if two forces acting simultaneously at a point be represented in magnitude and direction by two adjacent sides of a parallelogram, their resultant may be represented in magnitude and direction by:

• diagonal of the parallelogram which passes through their points of intersection;

• diagonal of the parallelogram which does not pass through their points of intersection;

• shorter side of the other two sides;

• longer side of the other two sides;

• none of the above;

If two forces acting simultaneously on a particle represented by the two sides of a triangle (in magnitude and direction) taken in order then their resultant is represented by the third side (closing side) taken in an opposite order.

• Triangle law of forces;

• Law of superposition;

• Theorem of transmissibility of a force;

• Law of action and reaction;

• Law of equilibrium of two forces;

The action of a given system of forces on a rigid body will no way be changed if we add to or subtract from them another system of forces in equilibrium.

• Law of superposition;

• Triangle law of forces;

• Law of action and reaction;

• Law of equilibrium of two forces;

• Theorem of transmissibility of a force;

The figure shows:

• concurrent force system;

• parallel force system;

• coplanar force system;

• reaction force of constraints;

• arbitrary force system;