To find:
The x and y components of the given forces.
Explanation:
a)
Given:
The magnitude of the force, F=80 N
The direction of the force, θ=32°
The x-component of the force is given by,
[tex]F_1=F\cos\theta[/tex]
On substituting the known values,
[tex]F_1=80\cos32\degree[/tex]
The y-component of the force is given by,
[tex]F_2=F\sin\theta[/tex]
On substituting the known values,
[tex]F_2=80\sin32\degree[/tex]
Diagram:
b)
Given:
The magnitude of the force, F=7 N
The direction of the force, θ=29°
The x-component of the force is given by,
[tex]F_1=F\sin\theta[/tex]
On substituting the known values,
[tex]F_1=7\sin29\degree[/tex]
The y-component of the force is given by,
[tex]F_2=F\cos\theta[/tex]
On substituting the known values,
[tex]F_2=7\cos29\degree[/tex]
Diagram:
