The magnitude of the resultant force is 10.40 KN.
The problem is based on the concept of concurrent coplanar forces. The value of the resultant forces in the vertical direction is to be equated to zero to calculate the value of the angle.
The summation of the forces in the horizontal direction will provide the value of the resultant force in the horizontal direction.
Concurrent coplanar forces these forces emerge from a common point. These forces work in a common plane. The resultant of these forces in a direction is the sum of the forces in that direction.
The resultant force for a coplanar concurrent unidirectional force system is expressed as,
F=F+F, +F
Here, F, F2, and F3 are the unidirectional concurrent coplanar forces and are the resultant of the forces.
The resultant force will be equal to the sum of the forces in the horizontal direction.
FR = (8 kN)sin +(6 kN) sin(40°)
Substitute 54.939 for.
FR = (8 kN) sin(54.93°) +(6 kN)sin (40°) = 10.40 KN
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