Here's how to calculate the stress and total extension of the composite wire:
To solve this, we need the Young's Modulus for copper and steel. We will use the following standard values:
- Young's Modulus for Copper (Ec) = 1.1×1011 Pa
- Young's Modulus for Steel (Es) = 2.0×1011 Pa
Given:
- Length of copper wire (Lc) = 1.5 m
- Length of steel wire (Ls) = 1.5 m
- Diameter (d) = 2.0 mm = 2.0×10−3 m
- Load (F) = 200 N
1. Calculate the stress in each wire.
Step 1: Calculate the cross-sectional area of the wire.
The diameter of the wire is d=2.0mm=2.0×10−3 m.
The radius is r=d/2=1.0×10−3 m.
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