A 1.8 x 10-3-kg house spider is hanging vertically by a thread that has a Young's modulus of 4.0 x 109 N/m2 and a radius of 20 x 10-6 m. Suppose that a 96-kg person is hanging vertically on an aluminum (Young's modulus 6.9 x 1010 N/m2) wire. What is the radius of the wire that would exhibit the same strain as the spider's thread, when the thread is stressed by the full weight of the spider?

A piece of mohair taken from an Angora goat has a radius of 31x100 m. What is the least number of identical pieces of mohair needed to suspend a 79-kg person, so the strain experienced by each piece is less than 0.010? Assume that the tension is the same in all the pieces.

One end of a vertical metallic wire of length 2.8 m and diameter 2.0 mm is attached to a ceiling, and the other end is attached to a 5.0 N weight pan, as shown below. REFER TO PICTURES FOR THE QUESTION. I AM HAVING TROUBLE WITH THE ONE PART.

Consider a square-faced beam supporting a section of a building. a)  Before installation, the length of the beam is found to be l0 = 15.02 m (figure a). After installation and construction, the length is remeasured and found to be l = 14.98 m (figure b). Determine Young's Modulus Y in N/m2 for the beam if it supports a mass m = 35000 kg and has a side length d = 1.9 m.  b) Suppose that after the beam is installed it needs to be repaired. The weight it supports is removed and replaced with a new mass m2 (figure c). After the new mass is supported, the side length is remeasured and found to be larger with a difference of Δd. Assuming that this side length deformation is uniform and small, write an expression for determining Poisson's ratio v for this beam if its Young's modulus Y is known.

A 1.6 x 10-3-kg house spider is hanging vertically by a thread that has a Young's modulus of 4.3 x 109 N/m2 and a radius of 12 x 10-6 m. Suppose that a 96-kg person is hanging vertically on an aluminum (Young's modulus 6.9 x 1010 N/m2) wire. What is the radius of the wire that would exhibit the same strain as the spider's thread, when the thread is stressed by the full weight of the spider?

A sign (mass 2300 kg) hangs from the end of a vertical steel girder with a cross-sectional area of 0.010 m2. Ignore the mass of the girder itself. The elastic modulus for steel is 2.0×10^11N/m2. The stress is 2.3 x 10^6. What is the strain on the girder? It is not 1.2 x 10^-5. I know its stress is divided by the modulus. Not sure what I'm doing wrong. If the girder is 9.90 m long, how much is it lengthened?

An amusement park ride consists of airplane-shaped cars attached to steel rods. Each rod has length 15m and cross-sectional area 8.00cm2. Take Young's modulus for steel to be Y=2.0×1011Pa. How much is the rod stretched (change in length of ΔL) when the ride is at rest? Assume that each car with two people seated in it has a total weight of 1900N. When the ride is operating, it has a maximum angular speed of ω=8.0rev/min. How much is the rod stretched then?

An 10.3-kg stone at the end of a steel (Young's modulus 2.0 x 1011 N/m?) wire is being whirled in a circle at a constant tangential speed of 10.0 m/s. The stone is moving on the surface of a frictionless horizontal table. The wire is 4.54 m long and has a radius of 3.56 x 10-3m. Find the strain in the wire.