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UPSC Civil Service Exam Questions

Q1:

ABC is rigid bar. It is hinged at A and suspended at B and C by two wires BD and CE made of copper and steel respectively, as shown in the given figure. The bar carries load of 1t at F, mid-way between B and C. Given Ac = 4 cm2, A = 2 cm2, Ec = 1 x 106 kg/cm2, Es = 2 x 106 kg/cm2. Ps is the force in the steel wire and Pc is the force in the copper wire, the ratio Pc/Ps will be

A 0.5

B 4

C 0.25

D 2

ANS:D - 2

AB/AC = 1/2.

(Pc.L/Ac.Ec)/(PS.L/As.Es) = 1/2,
Pc/PS = 1/2.

So, the option is A.



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