A beam is attached to a vertical wall with a hinge. The mass of the beam is 1000 kg, and it is 4 m long. A steel support wire is tied from the end of the beam to the wall, making an angle of 30° with the beam. (a) By summing the torque about the axis passing through the hinge, calculate the tension in the support wire. Assume the beam is uniform so that the weight acts at its exact center. (b) What is the minimum cross-sectional area of the steel wire so that it is not permanently stretched? The yield strength (elastic limit) for steel is 290 × 106N/m2, and the ultimate breaking strength is 400×106N/m2
A beam is attached to a vertical wall with a hinge. The mass of the beam is 1000 kg, and it is 4 m long. A steel support wire is tied from the end of the beam to the wall, making an angle of 30° with the beam. (a) By summing the torque about the axis passing through the hinge, calculate the tension in the support wire. Assume the beam is uniform so that the weight acts at its exact center. (b) What is the minimum cross-sectional area of the steel wire so that it is not permanently stretched? The yield strength (elastic limit) for steel is 290 × 106N/m2, and the ultimate breaking strength is 400×106N/m2
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotational Motion
Section: Chapter Questions
Problem 30P
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- A beam is attached to a vertical wall with a hinge. The mass of the beam is 1000 kg, and it is 4 m long. A steel support wire is tied from the end of the beam to the wall, making an angle of 30° with the beam. (a) By summing the torque about the axis passing through the hinge, calculate the tension in the support wire. Assume the beam is uniform so that the weight acts at its exact center. (b) What is the minimum cross-sectional area of the steel wire so that it is not permanently stretched? The yield strength (elastic limit) for steel is 290 × 106N/m2, and the ultimate breaking strength is 400×106N/m2.
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