Question

A 12 N force and a 21 N force are acting from a single point in opposite directions. What additional force must be

added to produce equilibrium?

Answer 1

We need to add 9 N in the direction of F(1)

Step-by-step explanation:

We know that in equilibrium the total force is equal to zero, so we have:

`F_(total)=F_(1)+F_(2)+F_(3)=0`

F(1) is 12 N

F(2) is 21 N in the opposite direction

F(3) is the additional force.

Then, using these values into the total force equation we have:

`12-21+F_(3)=0`

`-9+F_(3)=0`

`F_(3)=9\: N`

Therefore, we need to add 9 N in the direction of F(1)

I hope it helps you!