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The 59-kg cylinder is suspended from a clamping collar at C which can be positioned at any horizontal position x between the fixed supports at A and B. The cable is 14 m in length. Determine and plot the tensions in cable segments AC and BC as a function of x over the interval 0 ≤ x ≤ 12. Do your plot on a separate piece of paper. Then answer the questions to check your results. 12 m C 59 kg B

The 59-kg cylinder is suspended from a clamping collar at C which can be positioned at any horizontal position x between the fixed supports at A and B. The cable is 14 m in length. Determine and plot the tensions in cable segments AC and BC as a function of x over the interval 0 ≤ x ≤ 12. Do your plot on a separate piece of paper. Then answer the questions to check your results. 12 m C 59 kg B

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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The image describes a physics problem involving tension in cables. Here's the transcription suitable for an educational website: --- **Tension in Cables Problem** A 59-kg cylinder is suspended from a clamping collar at point C, which can be positioned at any horizontal position \( x \) between the fixed supports at points A and B. The cable has a total length of 14 meters. **Objective:** Determine and plot the tensions in the cable segments AC and BC as a function of the horizontal position \( x \) over the interval \( 0 \leq x \leq 12 \). This exercise will help in understanding how tensions in the segments vary depending on the position of the cylinder. **Instructions:** 1. Use your knowledge of physics to calculate tensions in both cable segments. 2. Create a graph based on the calculations. 3. Analyze the graph to answer the following questions about the system's behavior. **Diagram Overview:** - The supports A and B are fixed 12 meters apart. - The variable \( x \) represents the horizontal distance from A to C. - C is the clamping collar point from which the cylinder is suspended. - The cylinder weighs 59 kg, acting as a load on the cable system. By plotting the tensions, you will visualize how the forces involved fluctuate with the change in position and understand the distribution of tension in cable systems with varying loads.
Transcribed Image Text:The image describes a physics problem involving tension in cables. Here's the transcription suitable for an educational website: --- **Tension in Cables Problem** A 59-kg cylinder is suspended from a clamping collar at point C, which can be positioned at any horizontal position \( x \) between the fixed supports at points A and B. The cable has a total length of 14 meters. **Objective:** Determine and plot the tensions in the cable segments AC and BC as a function of the horizontal position \( x \) over the interval \( 0 \leq x \leq 12 \). This exercise will help in understanding how tensions in the segments vary depending on the position of the cylinder. **Instructions:** 1. Use your knowledge of physics to calculate tensions in both cable segments. 2. Create a graph based on the calculations. 3. Analyze the graph to answer the following questions about the system's behavior. **Diagram Overview:** - The supports A and B are fixed 12 meters apart. - The variable \( x \) represents the horizontal distance from A to C. - C is the clamping collar point from which the cylinder is suspended. - The cylinder weighs 59 kg, acting as a load on the cable system. By plotting the tensions, you will visualize how the forces involved fluctuate with the change in position and understand the distribution of tension in cable systems with varying loads.
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