Calculation of Resultant Force in a Square
To find the resultant force acting on the square with sides of 60mm each, we need to consider the forces acting on each side of the square and then calculate the magnitude, direction, and position of the resultant force with respect to point A.

Forces Acting on Each Side
- Force AB = 10 N
- Force AC = 20 N
- Force BD = 30 N
- Force AD = 40 N

Determination of Resultant Force
To calculate the resultant force, we need to resolve each force into its horizontal and vertical components, then add all the horizontal components together and all the vertical components together.
- Horizontal Components: AB = 0, AC = 20 N, BD = 30 N, AD = -40 N
- Vertical Components: AB = 10 N, AC = 0, BD = 0, AD = -40 N
After adding the horizontal and vertical components separately, we get the resultant force as follows:
- Resultant Horizontal Force = 20 N - 40 N = -20 N
- Resultant Vertical Force = 10 N - 40 N = -30 N

Magnitude and Direction of Resultant Force
The magnitude of the resultant force can be calculated using the Pythagorean theorem:
Resultant Force = √((-20)^2 + (-30)^2) = √(400 + 900) = √1300 ≈ 36.06 N
The direction of the resultant force can be calculated using the inverse tangent:
Angle = tan^(-1)(30/20) ≈ 56.31 degrees

Position of Resultant Force with Respect to Point A
To determine the position of the resultant force with respect to point A, we can use the following formulas:
x = ∑(Fx * d) / ∑ F
y = ∑(Fy * d) / ∑ F
After calculating the values of x and y, we can determine the position of the resultant force in the square.
In conclusion, the magnitude of the resultant force is approximately 36.06 N, the direction is approximately 56.31 degrees, and the position of the resultant force with respect to point A can be calculated using the above formulas.