**Balanced Force Calculator**

Enter the values of Effort Force EF_{(N)}, Distance from the Fulcrum to the Effort Force D_{1(m) & } Distance from the Fulcrum to the Resistance Force D_{2(m)} to Determine the Value of Balanced Force BF_{(N)} .

**Balanced Force Calculator**

A balanced force occurs when two forces acting in opposite directions on an object are equal in size but act along parallel lines, creating a state of equilibrium where the object remains stationary or moves at a constant velocity.

Balanced force, BF_{(N)} in Newtons is equated by dividing the product of effort force, EF_{(N)} in Newtons and distance from the fulcrum to the effort force, D_{1(m)} in metres by distance from the fulcrum to the resistance force, D_{2(m)} in metres.

Enter the values of effort force, EF_{(N)}, distance from the fulcrum to the effort force, D_{1(m)} and distance from the fulcrum to the resistance force, D_{2(m)} to determine the value of balanced force, BF_{(N)}.

Balanced force, BF_{(N)} = EF_{(N)} * D_{1(m)} / D_{2(m)}

BF_{(N)} = balanced force in Newtons, N.

EF_{(N)} = effort force in Newtons, N.

D_{1(m)} = distance from the fulcrum to the effort force in metres, m.

D_{2(m)} = distance from the fulcrum to the resistance force in metres, m.

__Balanced Force Calculation:__

- Imagine you have a lever where you apply an effort force of 50 Newtons at a distance D
_{1}of 2 metres from the fulcrum. The weight is located 0.5 metres away from the fulcrum on the other side, D_{2}. Calculate the balanced force required to lift the weight.

Given: EF_{(N)} = 50N, D_{1(m)} = 2m, D_{2(m)} = 0.5m.

Balanced force, BF_{(N)} = EF_{(N)} * D_{1(m)} / D_{2(m)}

BF_{(N)} = 50 * 2 / 0.5

BF_{(N)} = 200N.

- If a balanced force of 120 Newtons is required to maintain equilibrium, with the distance from the fulcrum to the resistance force D
_{2}being 2 metres, and the distance from the fulcrum to the effort force, D_{1}is 4 metres, find the effort force.

Given: BF_{(N)} = 120N, D_{1(m)} = 4m, D_{2(m)} = 2m.

Balanced force, BF_{(N)} = EF_{(N)} * D_{1(m)} / D_{2(m)}

EF_{(N)} = BF_{(N)} * D_{2(m)} / D_{1(m)}

EF_{(N)} = 120 * 2 / 4

EF_{(N)} = 240 / 4

EF_{(N)} = 60N.