In the analytical method, how is the resultant force determined when all forces act in the same direction? 

Explanation:

Resultant Force in the Analytical Method:

• When multiple forces act in the same direction, the analytical method simplifies the calculation of the resultant force. In such cases, the forces are additive because they all act along the same line of action, contributing to a cumulative effect in the same direction. The resultant force is determined by summing up all the individual forces acting in that direction.

Correct Option Analysis:

The correct option is:

Option 2: By adding all the forces together.

This option is correct because, when all forces act in the same direction, the resultant force is simply the sum of all the individual forces. This is mathematically expressed as:

R = F₁ + F₂ + F₃ + ... + F_n

Here:

• R = Resultant force
• F₁, F₂, F₃, ... F_n = Individual forces acting in the same direction

The principle of superposition applies, where the net effect of all forces is their summation. This method is straightforward and applicable only when all forces are aligned in the same direction. No vector resolution or trigonometric calculations are necessary in this scenario, making it computationally simple.