the figure, a 137 kg uniform log hangs by two steel wires, A and B, both of radius 1.20 mm. Initially, wire A was 2.50 m long and 1.75 m 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 da/dB? a) Number i b) Number i Wire A Units Units d com Wire B
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- A 330 gram ball is attached to one end of a rubber (Young's Modulus= 0.120 GN/m2) wire of diameter 1.32 mm and an unstretched length of 83.0 cm. The other end of the wire is attached to the top of a post. The ball rotates around the post in a horizontal plane such that the angle between the wire and the horizontal is 10.5 degrees. Find the tension in the wire and the increase in the wire's length due to the tension in the wire. Tension 17.75 Vo N %3D ALength = cmA 2.00-m-long, 1.00-mm-diameter wire is suspended from the ceiling. Hanging a 4.50 kg mass from the wire stretches the wire’s length by 1.00 mm. Use g = 10.0 m/s2. What is the stress in this wire, ____ ×107 N/m2? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.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.
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