Two wires P and Q of same cross-sectional area A=10mm2 and the same le

1.	Two wires P and Q of same cross-sectional area A=10mm2 and the same length l0=1 m but made of different materials are joined together and their ends are rigidly clamp between two walls with negligible tension. Their respective Young's modulus and the coefficients of linear expansion are as Y1,α1 and Y2,α2 respectively. Given Y1=2×109N/m2,α1=3×10−4/∘C,Y2=109N/m2,α2=6×10−4/∘C, Displacement of joint O is
Answer» Two wires P and Q of same cross-sectional area $A = 10 m m^{2}$ and the same length $l_{0} = 1$ m but made of different materials are joined together and their ends are rigidly clamp between two walls with negligible tension. Their respective Young's modulus and the coefficients of linear expansion are as $Y_{1}, α_{1}$ and $Y_{2}, α_{2}$ respectively. Given $Y_{1} = 2 \times 10^{9} N / m^{2}, α_{1} = 3 \times 10^{- 4} /^{\circ} C, Y_{2} = 10^{9} N / m^{2}, α_{2} = 6 \times 10^{- 4} /^{\circ} C$ , Displacement of joint O is

Two wires P and Q of same cross-sectional area A=10mm2 and the same length l0=1 m but made of different materials are joined together and their ends are rigidly clamp between two walls with negligible tension. Their respective Young's modulus and the coefficients of linear expansion are as Y1,α1 and Y2,α2 respectively. Given Y1=2×109N/m2,α1=3×10−4/∘C,Y2=109N/m2,α2=6×10−4/∘C, Displacement of joint O is

Answer»

Two wires P and Q of same cross-sectional area $A = 10 m m^{2}$ and the same length $l_{0} = 1$ m but made of different materials are joined together and their ends are rigidly clamp between two walls with negligible tension. Their respective Young's modulus and the coefficients of linear expansion are as $Y_{1}, α_{1}$ and $Y_{2}, α_{2}$ respectively.
Given $Y_{1} = 2 \times 10^{9} N / m^{2}, α_{1} = 3 \times 10^{- 4} /^{\circ} C, Y_{2} = 10^{9} N / m^{2}, α_{2} = 6 \times 10^{- 4} /^{\circ} C$ ,

Displacement of joint O is

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