A 30 m steel tape was standardized at a temperature of 20°C and under a pull 5 kg. The tape was used in catenary at a temperature 25°C and under a pull of P kg. The cross-sectional area of the tape is 0.02 cm2, its weights per unit length is 22 g/m. Young’s modulus = 2 x 10-6 kg /cm2, α = 11 x 10-6 per °C. Find the correct horizontal distance, if P is equal to (i) 5 kg, and (ii) 11 kg.

Question
A 30 m steel tape was standardized at a temperature of 20°C and under a pull 5 kg. The tape was used in catenary at a temperature 25°C and under a pull of P kg. The cross-sectional area of the tape is 0.02 cm2, its weights per unit length is 22 g/m. Young’s modulus = 2 x 10-6 kg /cm2, α = 11 x 10-6 per °C. Find the correct horizontal distance, if P is equal to (i) 5 kg, and (ii) 11 kg.

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