Answer:
[tex]N_{y} =Ncos[/tex]Ф,
[tex]N_{x} =-Nsin[/tex] Ф
Explanation:
Now find the components NxNxN_x and NyNyN_y of N⃗ N→N_vec in the tilted coordinate system of Part B. Express your answer in terms of the length of the vector NNN and the angle θθtheta, with the components separated by a comma.
Vectors are quantities that have both magnitude and direction while scalar quantities have only magnitude but no direction.
This a vector quantity
from the diagram the horizontal component of the length of the vector will be
[tex]N_{y} =Ncos[/tex]Ф
the vertical component will be
[tex]N_{x} =-Nsin[/tex] Ф
this is in the opposite direction because the x can be extrapolated to the negative axis
To solve the problem we must know about vectors and coordinate geometry.
We know that the vector quantities are those quantities that have magnitude as well as direction.
Each vector quantity can be divided into two parts a horizontal and vertical component, the vertical component is known as the sine component while the horizontal component is known as the cosine component.
A vector component is represented as the product of its length and the component angle.
For example, F Sinθ represents the vertical component of force, with magnitude F, while the F Cosθ represents the horizontal component, and will be in the same line with the axis from which the angle is been measured.
The coordinate in the tilted coordinate will be,
[tex]N_x = N Sin\theta[/tex]
[tex]N_y = N Cos\theta[/tex]
Where N is the vector magnitude and θ is the angle from the axis of measurement.
The sign of the vector will depend upon the coordinate in which it is.
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