Question

the X and Y component vectors are one newton each, the angle made by the resultant vector is:?​

Answer 1

Answer:

This article discusses the x- and y-components of a force vector. Understand that the diagrams and mathematics here could be applied to any type of vector such as a displacement, velocity, or acceleration vector.

For an understanding of vectors see the Vectors section of the Physics Department.

For an understanding of right triangle trigonometry see the Trigonometry and Right Triangles section of the Trigonometry Realms.

When you are finished with the material here, be sure to visit the Force Component Machine. It will show you how the positive and negative signs for the force components work for any direction that the two dimensional force vector may be pointing.

The two dimensional force vector

A force vector can be expressed in two dimensions on the (x, y) plane. For example, imagine the surface of a table top to be an (x, y) plane. Objects can be pushed across this table surface in several different directions, not just parallel to the length or width of the table. Objects can be pushed across a table top at a slanted direction relative to the edges of the table top. In the animation below we see several different directions in which you could push an object across a table top, or the several directions one can apply a force to an object on an (x, y) plane. The object being pushed is the green disk, and the force vector is the black arrow:

2D forces on tabletop

Force vectors like the one shown above are said to be two dimensional force vectors. You can think of them as forces that have a part that pushes right or left, and that have another part that pushes up or down. These parts of the force are called the components of the force. The component that pushes right or left is called the x-component, and the part that pushes up or down is called the y-component.

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