A resultant force is the single force that has the same effect as all the individual forces acting on an object. It is the vector sum of all the forces and takes into account both the magnitude and direction of each force.
To find the resultant force using statics, you must first draw a free body diagram of the object, showing all the forces acting on it. Then, use the equations of equilibrium to find the sum of the forces in both the horizontal and vertical directions. The resultant force can then be calculated using the Pythagorean theorem.
A concurrent force is a set of forces that all act on a single point, while a non-concurrent force is a set of forces that do not all intersect at one point. When finding the resultant force of concurrent forces, you can use the equations of equilibrium, but for non-concurrent forces, you must also take moments into account.
A scalar quantity is a measurement that only has a magnitude, such as mass or temperature. A vector quantity has both magnitude and direction, such as force or velocity. When dealing with forces, it is important to consider both the magnitude and direction, making them vector quantities.
Trigonometry can be used to find the components of a force when given the magnitude and direction of the force. By breaking the force into horizontal and vertical components, you can use trigonometric functions like sine and cosine to solve for each component. These components can then be used to find the resultant force.