GATE ME 2018 Set 1 — Question 15
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Engineering Mechanics → Statics → Free-Body Diagrams & Equilibrium
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Question
A bar of uniform cross section and weighing is held horizontally using two massless and inextensible strings S1 and S2 as shown in the figure.
The tensions in the strings are
Correct answer
(B) T₁ = 0 N and T₂ = 100 N
Solution
The bar is uniform, so its weight acts at its center of gravity (CG), which is located at the midpoint, from the left end.
1.String S1 is attached at the left end ().
2.String S2 is attached at the midpoint ().
3.The weight acts at the midpoint ().
For the bar to be in static equilibrium, the sum of vertical forces and the sum of moments about any point must be zero.Sum of vertical forces: Sum of moments about the left end (point of attachment of S1): Substituting into the force equilibrium equation:Thus, the tensions are and .Continue learning with Success Tracker
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