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The horizontal beam is supported by springs at its ends. Each spring has a stiffness of k = 4.6 kN/m and is originally unstretched when the beam is in the horizontal position. Determine the angle of tilt of the beam if a load of 800 N is applied at point C as shown. Determine the angle of tilt of the beam.

The horizontal beam is supported by springs at its ends. Each spring has a stiffness of k = 4.6 kN/m and is originally unstretched when the beam is in the horizontal position. Determine the angle of tilt of the beam if a load of 800 N is applied at point C as shown. Determine the angle of tilt of the beam.

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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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The horizontal beam is supported by springs at its ends. Each spring has a stiffness of k = 4.6 kN/m and is originally unstretched when the beam is in the horizontal position. Determine the angle of tilt of the beam if a load of 800 N is applied at point C as shown. Determine the angle of tilt of the beam.

### Mass-Spring System Diagram #### Description The diagram represents a mass-spring system with two springs and a uniform beam subjected to a central load. #### Components: 1. **Springs \( k_A \) and \( k_B \)**: These are the two springs attached on either side of the beam. Each spring has its own spring constant, \( k_A \) on the left side and \( k_B \) on the right side. 2. **Points A and B**: These are the attachment points for springs \( k_A \) and \( k_B \) respectively. 3. **Point C**: This is the point where a load of 800 N is applied centrally on the beam. 4. **Distances**: - Distance from point A to point C is 1 meter. - Distance from point B to point C is 2 meters. #### Load - **Load at Point C**: There is a vertical downward force of 800 N applied at point C on the beam. ### Explanation This setup can be used to analyze the deflection and the forces in the springs when a load is applied. The beam is supported by two springs with potentially different constants, making it a non-uniformly supported structure. Analyzing such a system requires understanding the principles of equilibrium and the mechanics of materials. Likely points of study include the deflection of the beam, the distribution of forces in each spring, and the resultant reactions at the supports. This system illustrates practical applications of mechanical concepts such as Hooke's Law for springs, static equilibrium conditions, and distributed loading on a beam.
Transcribed Image Text:### Mass-Spring System Diagram #### Description The diagram represents a mass-spring system with two springs and a uniform beam subjected to a central load. #### Components: 1. **Springs \( k_A \) and \( k_B \)**: These are the two springs attached on either side of the beam. Each spring has its own spring constant, \( k_A \) on the left side and \( k_B \) on the right side. 2. **Points A and B**: These are the attachment points for springs \( k_A \) and \( k_B \) respectively. 3. **Point C**: This is the point where a load of 800 N is applied centrally on the beam. 4. **Distances**: - Distance from point A to point C is 1 meter. - Distance from point B to point C is 2 meters. #### Load - **Load at Point C**: There is a vertical downward force of 800 N applied at point C on the beam. ### Explanation This setup can be used to analyze the deflection and the forces in the springs when a load is applied. The beam is supported by two springs with potentially different constants, making it a non-uniformly supported structure. Analyzing such a system requires understanding the principles of equilibrium and the mechanics of materials. Likely points of study include the deflection of the beam, the distribution of forces in each spring, and the resultant reactions at the supports. This system illustrates practical applications of mechanical concepts such as Hooke's Law for springs, static equilibrium conditions, and distributed loading on a beam.
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