
An extremely expensive piece of spider silk is 2.5 m long and 0.5 mm in diameter...
Orb spiders make silk with a typical diameter of 0.15 mm. The Young's modulus of spider silk is 0.2×1010N/m2 and its tensile strength is 1000×106N/m2. Part A: A typical large orb spider has a mass of 0.50 g. If this spider suspends itself from a single 12-cm-long strand of silk, by how much will the silk stretch? (answer in mm) Part B: What is the maximum weight that a single thread of this silk could support? (answer in N)
4. Hanging by a Thread (2 pts). A spider spins a fine thread of spider silk between two posts a distance L0 apart. The thread has a diameter of d = 5 × 10-6 m and an equilibrium length of L0. When the spider (with mass m = 2 milligram) hangs from the center of the thread, the thread sags and stretches to support the weight of the spider, making an angle of θ = 10° below the horizontal, as...
5. A metal wire is 2.5 mm diameter and 2 m long. A force of 12 N is applied to it and it stretches 0.3 mm. Assume the material is elastic. Determine the stress in the wire σ, the strain in the wire ε, and Young's modulus for the wire material.
1. A tensile force of 100 kN is applied on a 0.02 m diameter 2 m length rod. After applying the load, the diameter of the rod decreases to 0.01998 m and the length increases to 2.01 m. What is the Poisson's Ratio of this material? 2. A tensile force of 100 kN is applied on a 0.02 m diameter 2 m length rod. After applying the load, the diameter of the rod decreases to 0.01998 m and the length...
Consider a straight piece of copper wire of length 9.5 m and diameter 2.5 mm that carries a current I = 11 A. There is a magnetic field of magnitude B directed perpendicular to the wire, and the magnetic force on the wire is just strong enough to “levitate” the wire (i.e., the magnetic force on the wire is equal to its weight). Find B. Hint: The density of copper is 9000 kg/m3 .
A string 4.0 mm in diameter has original length 2.0 m. The string is pulled by a force of 200.0 N. If the final length of the string is 2.02 m, Determine: (a) The stress. (15.92 x 10^6 N/m^2 ) (b) The strain. (0.01) (c) Young’s modulus. (1.6 x 10^9 N/m^2 )
A metal wire 1.3 mm in diameter and 2.5 m long hangs vertically with a 5.1-kg object suspended from it. Part A If the wire stretches 1.7 mm under the tension, what is the value of Young's modulus for the metal? Express your answer using two significant figures.
A cylindrical piece of steel has a diameter of 50 mm and a length of 200 mm. Steel density of 7200 kg/m^3 Question ) The 10 mm diameter piece is pulled with a force of 500 N. What is the stress in the rod?
Q1. A circular rod of 12 mm diameter was tested for tension. The total elongation on a 300 mm length was 0.22 mm under a tensile load of 17 KN. Find the value of E. (2.5 Marks) Answer: Q2. A prismatic bar has a cross section of 25 mm x 50 mm and a length of 2m under an axial force of 90 KN. The measured elongation of the bar is 1.5 mm. Compute the tensile stress and strain in...
A 25mm diameter steel rod 1.5m long is being used in a rigid structure. For this steel the Ultimate Tensile Stress is 410 MPa Young’s Modulus is 200 GPa The rod is to be subjected to a tension load of 40 kN. Design requirements are that the rod cannot extend by more than 0.5 mm and that there is a Factor of Safety of 5 for the tensile stress. Determine whether or not the rod is adequate for the task:...