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Topic Content:
- Components of a Vector
A vector, F , generally has two components, namely the vertical component of a vector Fy , and the horizontal component of a vector, Fx .
F = (Fx , Fy )
The component of a vector is the effective value of the vector in a particular direction.
The horizontal component of a vector F is the effective value of the vector in the horizontal direction (Fx )
Use SOH CAH TOA to calculate the horizontal component Fx
Fx = Adjacent, F = Hypotenuse, Therefore, we use CAH
Cos θ = \( \frac{Adj}{Hyp} \)
Cos θ = \( \frac{F_x}{F} \)
Fx = F Cos θ
The effective value of any force or vector in the horizontal direction (Fx ) or component is F Cos( θ )
The vertical component of a force is the effective value of a force/vector in the vertical direction (Fy
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