Question

It is required that the resultant force acting on the eyebolt in Fig (a) be directed along the positive x axis and that F2 have a minimum magnitude. Determine this magnitude, the angle θ, and the corresponding resultant force

Answer 1

Answer: hello the eye bolt diagram is missing attached below is the missing diagram

i) angle = 90°

ii) magnitude ( F2 ) = 692.82

ii) Fr = 400 N

Step-by-step explanation:

i) Determine the angle ∅

The ∅ = 90° since F2 to be minimum , it is directed perpendicular to the resultant force

ii) Determine the magnitude

By applying the parallelogram law of addition and triangular rule to the sketches attached below

The resultant force and the Magnitude can be calculated :

F2 = F1sin60°

= 800 * sin60° = 692.82 N

iii) Fr ( resultant force ) = F1cos60°

= 800*cos 60° = 400 N