Find the components of the vertical force Bold Upper Fequalsleft angle 0 comma negative 8 right anglein the directions parallel to and normal to the plane that makes an angle of StartFraction pi Over 3 EndFractionwith the positive x-axis. Show that the total force is the sum of the two component forces.

Answer with Step-by-step explanation:

We are given that

F=<0,-8>=0i-8j=-8j

The component of force is divided into two direction

1.Along the plane

2.Perpendicular to the plane

1.The vector parallel to the plane will be=

By using

Force along the plane will be=

Force along the plane will be =N

By using

Therefore, force along the plane=

2.The vector perpendicular to the plane=

The force perpendicular to the plane=

The force perpendicular to the plane=N

Therefore,

Sum of two component of force=

Sum of two component of force=

Hence,sum of two component of forces=Total force.

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get