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A rigid bar of mass 15 kg is supported s...

A rigid bar of mass 15 kg is supported symmetrically by three wires each 2 m long. Those at each end are of copper and middle one is of iron. Determine the ratio of their diameters if each is to have the same tension. Young's modulus of elasticity for copper and steel are `110 xx 10^(9)Nm^(-2)` and `190 xx 10^(9)Nm^(-2)` respectively.

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Each wire has same tension soa eah wire wil have same extension. Also as they have same lengt, each wire will have same strain
`Y=(Fl)/(Adl)=(Fl)/(P(D//2)^(2)Dl)=(4Fl)/(pD^(2)//Dl)`
`:.D^(2)mu1/Y`
`:.(D_(Cu))/(D_("iron"))=sqrt((Y_("iron"))/(Y_(Cu)))=sqrt((190xx10^(9))/(110xx10^(9)))=sqrt(19/11)=1.31`
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