Final answer:
To find the component of a force on an axis, calculate its x and y components using cosine and sine of the angle made with the axis respectively and add the respective components for vector addition.
Step-by-step explanation:
In order to find the component of a force projected onto an axis, you must use the equations Ax = A cos θ and Ay = A sin θ to find the components along the chosen perpendicular axes. If we have a vector A and it makes an angle θ with the x-axis then its x-component is given by Ax = A cos θ and the y-component is given by Ay = A sin θ.
For vector addition, the components of the resultant along each axis can be found by adding the components of the individual vectors along that axis, as shown with Rx = Ax + Bx for x-axis components.