GATE ME 2015 Set 3 — Question 28
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Engineering Mechanics → Statics → Free-Body Diagrams & Equilibrium
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Question
A weight of is supported by two metallic ropes as shown in the figure. The values of tensions and are respectively

Correct answer
(A) 433 N and 250 N
Solution
From the figure, the angles between the forces at the junction are:
1.Angle between and is .
2.Angle between and the vertical weight () is (since makes with the horizontal ceiling, its angle with the vertical is ).
3.Angle between and the vertical weight is .
Using Lami's Theorem:Calculating :Calculating :Thus, and .Continue learning with Success Tracker
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