If three coplanar concurrent forces acting at a point ‘O’ are in equilibrium then

the ratio of T/Tऔर T1 /T3 respectively will be?

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ISRO LPSC Technical Assistant Mechanical 4 March 2018 Official Paper
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  1.  and 
  2. 1 and 
  3.  and 1

Answer (Detailed Solution Below)

Option 1 :  and 
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Detailed Solution

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Concept:

Lami's theorem:

Lami's theorem is an equation relating the magnitudes of three coplanar, concurrent and non-collinear forces, which keeps an object in static equilibrium, with the angles directly opposite to the corresponding forces. According to the theorem:

Calculation:

Given:

From the given figure we have 

By solving the above equation we have,

 and 

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