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?
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- A horizontal aluminium rod 4.8 cm in diameter projects 5.3 cm from a wall. A 1200 kg object is suspended from the end of the rod. The shear modulus of aluminum is 3.0 x 1010 N/m2. Neglecting the rod's mass, find (a) the shear stress on the rod and (b) the vertical deflection of the end of the rod.During a tensile strength experiment, a small diameter fibre is elongated by a force of 0.0250 N. The fibre has an initial length of 0.200 m and stretches 4 x 102 m. Determine the diameter of the fibre? The Young's modulus for the material being tested is 7.60 x 1010 Pa.Humans can bite with a force of approximately 796 N. If a human tooth has the Young's modulus of bone, a cross-sectional area of 1.1 cm2, and is 1.9 cm long, determine the change in the tooth's length during an 7.96 ✕ 102 N bite. m
- 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?