1. A length of nylon fishing line of 2 mm diameter is tied to a length of 0.5 mm diameter stainless steel wire, then stretched between two rigid supports 2 m apart such that the tension in the wires is 20 N and the connection point between the two wires is exactly midway between the posts. The air temperature then goes down by 20°C. Find the distance that the connection moves. [Youngs modulus for nylon is 3 GPa, its thermal expansion coefficient is 6×10-5/K. Youngs modulus for stainless steel is 180 GPa, its thermal expansion coefficient is 1.7 x 10-5/K.]

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1. A length of nylon fishing line of 2 mm diameter is tied to a length of 0.5 mm diameter
stainless steel wire, then stretched between two rigid supports 2 m apart such that the
tension in the wires is 20 N and the connection point between the two wires is exactly
midway between the posts. The air temperature then goes down by 20°C. Find the
distance that the connection moves.
[Youngs modulus for nylon is 3 GPa, its thermal expansion coefficient is 6×10−5/K. Youngs
modulus for stainless steel is 180 GPa, its thermal expansion coefficient is 1.7 × 10−5/K.]
Transcribed Image Text:1. A length of nylon fishing line of 2 mm diameter is tied to a length of 0.5 mm diameter stainless steel wire, then stretched between two rigid supports 2 m apart such that the tension in the wires is 20 N and the connection point between the two wires is exactly midway between the posts. The air temperature then goes down by 20°C. Find the distance that the connection moves. [Youngs modulus for nylon is 3 GPa, its thermal expansion coefficient is 6×10−5/K. Youngs modulus for stainless steel is 180 GPa, its thermal expansion coefficient is 1.7 × 10−5/K.]
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