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Draw a diagram to show F_x, the component parallel to the x axis, and F_y, thecomponent parallel to the y axis, of each of the following forces, and find eachcomponent, giving each answer in terms of a trigonometric function.

Draw A Diagram To Show Fx The Component Parallel To The X Axis And Fy Thecomponent Parallel To The Y Axis Of Each Of The Following Forces And Find Eachcomponent class=

Sagot :

To find:

The components of the 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, in this case, is given by,

[tex]F_x=F\cos\theta[/tex]

On substituting the known values,

[tex]F_x=80\cos32\degree[/tex]

The y-component is given by,

[tex]F_y=F\sin\theta[/tex]

On substituting the known values,

[tex]F_y=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, in this case, is given by,

[tex]F_x=F\sin\theta[/tex]

On substituting the known values,

[tex]F_x=7\sin29\degree[/tex]

The y-component of the force is given by,

[tex]F_y=F\cos\theta[/tex]

On substituting the known values,

[tex]F_y=7\cos29\degree[/tex]

Diagram:

View image KaisyG416538
View image KaisyG416538
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