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Questions  

A chain of mass m is attached at points A and B of a ceiling. Due to its own weight, a sag is there as shown. Then tension at lowest point C is

 

a
mg2sinθ
b
12mg cot θ
c
mg2
d
12mg tan θ

detailed solution

Correct option is B

Weight of segment AC = mg2∴For vertical equilibrium, Tsinθ = mg2 −−−−(1) For horizontal equilibrium, Tcosθ = To−−−−(2) ∴ Tomg2 = cotθ       ⇒ To = mg2cotθ

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