Question

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.

Answer 1

To find:

The components of the forces.

Step-by-step 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,

`F_x=F\cos\theta`

On substituting the known values,

`F_x=80\cos32\degree`

The y-component is given by,

`F_y=F\sin\theta`

On substituting the known values,

`F_y=80\sin32\degree`

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,

`F_x=F\sin\theta`

On substituting the known values,

`F_x=7\sin29\degree`

The y-component of the force is given by,

`F_y=F\cos\theta`

On substituting the known values,

`F_y=7\cos29\degree`

Diagram: