Question

Is the equilibrant force that will keep the

Two forces are acting on an object as shown below.
object in equilibrium

Answer 1

The equilibrant force that will keep the object in equilibrium is;

A. 10 N to the left

Step-by-step explanation:

The forces acting on the object are;

A 20 Newton force acting to pull the object horizontally to the left

A 30 Newton force acting to pull the object horizontally to the right

For equilibrium, we have;

The sum of forces acting on the object, ∑F = 0

Let '
`F_E`' represent the equilibrant force, with a convention of right = positive, we have;

At equilibrium, ∑F = 30 N - 20 N +
`F_E` = 0

∴ 30 N - 20 N +
`F_E` = 0

10 N = -
`F_E`

∴
`F_E` = -10 N

With the convention that a force acting to the right = Positive, we have the equilibrant force,
`F_E` = -10 N which is negative, is acting towards the left;

∴ The equilibrant force that will keep the object in equilibrium,
`F_E` = 10 N acting to the left.