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Answer :
The magnitude of force, that will produce a resultant force of 210 N going upward and 2 m from point A is 1,140 N.
What is the magnitude of force F?
The magnitude of force, that will produce a resultant force of 210 N going upward and 2 m from point A is calculated as follows;
take moment about the pivot;
Sum of the clockwise moment = sum of anticlockwise moment
200 N(2m + 3m + 2m) - F (3 m + 2m) + P(2m) = 0
200(7) - 5F + 2P = 0
1400 + 2P = 5F ------ (1)
Sum of the upward forces;
-1000 N + P - F + 200 = 210
P = 1010 + F ----- (2)
Solve the two equations, and determine the value of F;
1400 + 2(1010 + F) = 5F
1400 + 2020 + 2F = 5F
3420 = 3F
F = 3420 / 3
F = 1,140 N
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