GATE CE 2014 Set 1 — Question 37
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Structural Engineering → Statics & Rigid Bodies → Equilibrium Equations
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Question
A box of weight 100 kN shown in the figure is to be lifted without swinging. If all forces are coplanar, the magnitude and direction () of the force () with respect to x-axis should be


Correct answer
(A) F = 56.389 kN and θ = 28.28^
Solution
To lift the box without swinging, the horizontal forces must be in equilibrium () and the vertical forces must balance the weight ( kN).
kN
kN
kN.
1.Horizontal equilibrium:
kN
2.Vertical equilibrium:
kN
3.Solving for and :
kN.
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