A thick copper rope of density 1.5 x 10³ kgm⁻³ and Young’s modulus 5 x 10⁶ Nm⁻², 8 m in length, its length due to its own weight is
A copper rope is a strong and flexible material made by twisting multiple copper strands together. Known for its excellent conductivity and durability, it is widely used in electrical wiring, grounding, and industrial applications. Copper rope resists corrosion and provides high mechanical strength for various engineering and construction purposes.
Class 11 Physics Chapter 8 focuses on the mechanical properties of solids. It explains stress strain Hooke’s law elasticity plasticity Young’s modulus bulk modulus and shear modulus. The chapter explores how solids respond to forces and deformation during stretching compressing bending and the factors affecting their elastic and plastic behavior.
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The extension due to the weight of the rope can be found using the following formula:
ΔL = (F L) / (A Y)
Where:
– F = Force due to weight = mg
– L = Length of the rope = 8 m
– A = Cross-sectional area of the rope
– Y = Young’s modulus
– m = mass of the rope = density × volume
– Volume = A × L
After computation, we get that the stretch is approximately:
ΔL = 9.6 x 10⁻⁵ m
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