How do you find the resultant force of coplanar forces?

Conversely, if the magnitude of the rectangular components are known, the resultant can be found with the Pythagorean Theorem, F = SQRT (Fx^2 + Fy^2). The direction of the resultant may be determined by trigonometry knowing that the tan is = opposite side / adjacent side.

What is the resultant of coplanar forces?

When all forces are acting in the same plane, they are called coplanar whereas when forces act at the same time and at the same point, they are called concurrent/forces. For forces acting in opposite directions along the sameline of action, the resultant force is the arithmetic difference between the two forces.

What is coplanar force system?

Coplanar forces means forces in the plane. When several forces act on a body then they are called force system or system of forces. In the system in which all the forces lies in the same plane then it is known as coplanar force system .

Is the resultant of a coplanar system always a force?

A parallel coplanar force system consists of two or more forces whose lines of action are ALL parallel. The resultant is a representative force which has the same effect on the body as the group of forces it replaces.

Which is the resultant in coplanar concurrent force system?

The z-component of the resultant is equal to the summation of forces in the z-direction. Note that according to the type of force system, one or two or three of the equations above will be used in finding the resultant. The line of action of each forces in coplanar concurrent force system are on the same plane.

Can a nonconcurrent coplanar force system be replaced?

Any system of nonconcurrent coplanar forces can be replaced by a single resultant that is equivalent to the given force system. The location of the line of action of the resultant is not immediately known.

How to calculate resultant of concurrent force system?

Resultant of Coplanar Concurrent Force System. The line of action of each forces in coplanar concurrent force system are on the same plane. All of these forces meet at a common point, thus concurrent. In x-y plane, the resultant can be found by the following formulas: R x = Σ F x. R y = Σ F y. R = R x 2 + R y 2. tan.

How are coplanar force systems resolved in graphic statics?

Coplanarforce systems have all the forces acting in in one plane. They may be concurrent, parallel, non-concurrent or non-parallel. All of these systems can be resolved by using graphic statics or algebra. A concurrentcoplanar force system is a system of two or more forces whose lines of action ALL intersect at a common point.