Describe the resolution of vector V making an angle with the horizontal
The resolution of a vector V making an angle θ with the horizontal involves breaking down the vector V into its horizontal and vertical components. The horizontal component of vector V can be found by multiplying the magnitude of V by the cosine of the angle θ, and the vertical component can be found by multiplying the magnitude of V by the sine of the angle θ.
This process results in two perpendicular vectors: Vx, the horizontal component, and Vy, the vertical component. The magnitude of V is then equal to the square root of the sum of the squares of Vx and Vy.
Mathematically, the resolution can be expressed as:
Vx = V * cos(θ)
Vy = V * sin(θ)
|V| = sqrt(Vx^2 + Vy^2)
This resolution allows us to analyze the effect of vector V in both the horizontal and vertical directions separately, making it easier to calculate its impact on a system or object.