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Determine the angle of tilt of the beam when the load is applied.

Determine the angle of tilt of the beam when the load is applied.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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### Part A **Problem Statement:** Determine the angle of tilt of the beam when the load is applied. Express your answer in degrees to three significant figures. **Details:** The beam is horizontal, and the springs at points A and B are unstretched when there is no load on the beam. Suppose that \( k_A = 1 \, \text{kN/m} \) and \( k_B = 2 \, \text{kN/m} \). --- **Figure 1 Explanation:** - The figure depicts a horizontal beam CD. - There are two vertical springs connected to the beam: - Spring \( k_A \) is connected at point C. - Spring \( k_B \) is connected at point D. - A uniformly distributed load of \( 600 \, \text{N/m} \) is applied across the entire beam. **Dimensions:** - The length of the beam CD is 6 meters. - Points C and D are spaced evenly at 3 meters from the midpoint of the beam. --- **Calculation:** The student is required to calculate the angle θ of the beam's tilt due to the applied load and enter it in the provided box in degrees to three significant figures. **Note:** The answer input in the box is \( 0.052 \, \text{rad} \), but the feedback indicates the answer is incorrect, and there are four remaining attempts. --- **Action:** Students can re-evaluate their calculations and submit their corrected answers. The problem likely involves solving a system of equilibrium equations considering the load and spring constants.
Transcribed Image Text:### Part A **Problem Statement:** Determine the angle of tilt of the beam when the load is applied. Express your answer in degrees to three significant figures. **Details:** The beam is horizontal, and the springs at points A and B are unstretched when there is no load on the beam. Suppose that \( k_A = 1 \, \text{kN/m} \) and \( k_B = 2 \, \text{kN/m} \). --- **Figure 1 Explanation:** - The figure depicts a horizontal beam CD. - There are two vertical springs connected to the beam: - Spring \( k_A \) is connected at point C. - Spring \( k_B \) is connected at point D. - A uniformly distributed load of \( 600 \, \text{N/m} \) is applied across the entire beam. **Dimensions:** - The length of the beam CD is 6 meters. - Points C and D are spaced evenly at 3 meters from the midpoint of the beam. --- **Calculation:** The student is required to calculate the angle θ of the beam's tilt due to the applied load and enter it in the provided box in degrees to three significant figures. **Note:** The answer input in the box is \( 0.052 \, \text{rad} \), but the feedback indicates the answer is incorrect, and there are four remaining attempts. --- **Action:** Students can re-evaluate their calculations and submit their corrected answers. The problem likely involves solving a system of equilibrium equations considering the load and spring constants.
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