Question

Can someone please help me answer this

Answer 1

Rₓ = -10 N

Step-by-step explanation:

The x-component of a vector R can be found using the following formula:

`\boxed{{R_x = Rcos \ \theta}}`,

where Rₓ is the x-component of R and Θ is the angle between the vector and the positive x-axis.

The 60° angle in the diagram is formed between the vector R and the negative x-axis. The angle we need, Θ, is its supplementary angle. Therefore,

Θ = 180° - 60°

= 120°

Now that we have the value of Θ, we can find its x-component using the formula above:

`{{R_x = Rcos \ \theta}}`

⇒
`R_x = 20 * cos(120^(\circ))`

⇒
`R_x = \bf -10`

Therefore, the x-component of R is -10 N.