Determine the magnitude of force F so that the resultant force of the three forces is as small as possible. What is the magnitude of the resultant force?

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Answer:

hello your question is incomplete attached below is the missing diagram

answer : 7.87 KN

Explanation:

The magnitude of the resultant force = 7.87 KN

from fig 1

First step :

calculate the resultant force along the x- direction

Frx = ∑Fx = +8 kN - Fcos45° - 14cos 30°

                = -4.1243 - 0.7071 F

next :

calculate the resultant force along the y- direction

Fry = ∑Fy = -Fsin45° + 14sin30°

                = -0.7071 F + 7

attached below is the remaining part of the  detailed solution

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