In the figure, a 131 kg uniform log hangs by two steel wires, A and B, both of radius 1.05 mm. Initially, wire A was 2.30 m long and 1.95 mm shorter than wire B. The log is now horizontal. Young's modulus for steel is 2.00x 10¹1 N/m². What are the magnitudes of the forces on it from (a) wire A and (b) wire B? (c) What is the ratio d/de? Wire A com Wire
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- When pushing off of a pool wall, a swimmer exerts a force parallel to the length of her femur, compressing it 3 × 10−5 m. The bone is equivalent to a uniform cylinder 36.0 cm long and 1.75 cm in radius. Young's modulus for bone is 16 × 10⁹ N/m². (a) Calculate the force exerted (in N). 1710 X Consider the basic definition for Young's modulus. N (b) If her mass is 65.5 kg and water resistance is negligible, what is her acceleration (in m/s²)? Assume her weight is precisely supported by the water. m/s² (c) How fast (in m/s) is she going once she exerts this force through a distance of 20.5 cm, starting from rest? m/sAssume that if the shear stress in steel exceeds about 4.00 x 108 N/m², the steel ruptures. (a) Determine the shearing force necessary to shear a steel bolt 1.40 cm in diameter. IN (b) Determine the shearing force necessary to punch a 1.25-cm-diameter hole in a steel plate 0.550 cm thick. NA vertical solid steel post of diameter d = 26 cm and length L = 2.70 m is required to support a load of mass m = 8400 kg. You can ignore the weight of the post. What is the stress in the post? Express your answer in pascals. What is the strain in the post?
- 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.In the figure, a 110 kg uniform log hangs by two steel wires, A and B, both of radius 1.00 mm. Initially, wire A was 2.50 m long and 1.90 mm shorter than wire B. The log is now horizontal. Young's modulus for steel is 2.00 × 1011 N/m². What are the magnitudes of the forces on it from (a) wire A and (b) wire B? (c) What is the ratio dд/dB? Wire A Wire B comAn 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?