Question

Draw a diagram to show F1, the component parallel to the x axis, and F2, 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 x and y components of the given 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 is given by,

`F_1=F\cos\theta`

On substituting the known values,

`F_1=80\cos32\degree`

The y-component of the force is given by,

`F_2=F\sin\theta`

On substituting the known values,

`F_2=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 is given by,

`F_1=F\sin\theta`

On substituting the known values,

`F_1=7\sin29\degree`

The y-component of the force is given by,

`F_2=F\cos\theta`

On substituting the known values,

`F_2=7\cos29\degree`

Diagram: