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The polygon is constructed starting with P 1 and P 2 using the parallelogram of forces (vertex a). The process is repeated (adding P 3 yields the vertex b, etc.). The remaining edge of the polygon O-e represents the resultant force R. In the case of two applied forces, their sum (resultant force) can be found graphically using a parallelogram ...
When more than two forces are involved, the geometry is no longer a parallelogram, but the same principles apply to a polygon of forces. The resultant force due to the application of a number of forces can be found geometrically by drawing arrows for each force. The parallelogram of forces is a graphical manifestation of the addition of vectors.
A force polygon for the forces P 1 to P 6 applied to point O In the case of two applied forces, their sum ( resultant force ) can be found graphically using a parallelogram of forces . To graphically determine the resultant force of multiple forces, the acting forces can be arranged as edges of a polygon by attaching the beginning of one force ...
In graphic statics, a funicular polygon is a graphic method of finding out the line of action for a combination of forces applied to a solid body at different points, a complement to the force polygon used to obtain the value and direction of the resultant force. [4] Both polygons were introduced by Pierre Varignon (Nouvelle Mecanique ou ...
Newton's laws of motion are three physical laws that describe the relationship between the motion of an object and the forces acting on it. These laws, which provide the basis for Newtonian mechanics, can be paraphrased as follows: A body remains at rest, or in motion at a constant speed in a straight line, except insofar as it is acted upon by ...
Traditionally the Newton–Euler equations is the grouping together of Euler's two laws of motion for a rigid body into a single equation with 6 components, using column vectors and matrices. These laws relate the motion of the center of gravity of a rigid body with the sum of forces and torques (or synonymously moments) acting on the rigid body.
The Lorentz force law gives the force upon a body with charge due to electric and magnetic fields: = (+), where is the electromagnetic force, is the electric field at the body's location, is the magnetic field, and is the velocity of the particle.
Euler's second law states that the rate of change of angular momentum L about a point that is fixed in an inertial reference frame (often the center of mass of the body), is equal to the sum of the external moments of force acting on that body M about that point: [1] [4] [5]