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.

answer:   35 % is the probability of a late departure or an early arrival.

step-by-step explanation:

let l represents the late departure and e represents the early departure.

then, according to the question,

p(l) = 12 %,   p(e) = 27 % and = 4 %

and, we have to find out,

but, we know that,

which is the required equation that will use to find the probability of a late departure or an early departure.

therefore,   the probability of a late departure or an early arrival =   35 %

answer: b

step-by-step explanation: