Vector components
Any vector can be resolved into two components at right angles to each other.
These two components when added together have the same effect as the initial single vector.
Horizontal and vertical components of a vector
is the same as:
Expressed mathematically:
\({F_x} = F\cos (\theta )\)
and:
\({F_y} = F\sin (\theta )\)
Question
A A push or a pull. The unit of force is the newton (N). of 30 N acts on a box as shown.
Find the horizontal and vertical components of the 30 N force. Round the answers to one decimal place.
Horizontal component of force equals:
\({F_x} = F\cos \theta = 30\cos 40^\circ = 22.98\)
Vertical component of force equals:
\({F_y} = F\sin \theta = 30\sin 40^\circ = 19.28\)
When rounded to 1 decimal place:
Horizontal component of force equals:
\(23.0 N\)
Vertical component of force equals:
\(19.3 N\)