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Two cables are tied together at Cand are loaded as shownin Figure -03. Determine the tension (a) in cable AC, (b) in cable BC.

Two cables are tied together at Cand are loaded as shownin Figure -03. Determine the tension (a) in cable AC, (b) in cable BC.

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Two cables are tied together at Cand are loaded as shownin Figure -03. Determine the tension (a) in cable AC, (b) in cable BC.

### Analysis of Forces in a Suspended Mass System **Figure 03:** This diagram illustrates a mass suspended using a system of ropes and fixed points. #### Components of the System: - **A:** A fixed point on a vertical wall where one end of the rope is attached. - **B:** Another fixed point on a horizontal support, where another end of the rope is attached. - **C:** The point where the ropes intersect and from where the mass is suspended. #### Description: - The system includes a mass of 200 kg hanging from point C. - There are two segments of the ropes: - **Segment AC:** One part of the rope is connected from point A to point C. - **Segment BC:** The other part of the rope is connected from point B to point C. #### Angles: - Both segments of the ropes, AC and BC, form an angle of 75 degrees with the respective surfaces they are fixed to. - **Angle between A and AC:** 75 degrees with the horizontal line through A. - **Angle between B and BC:** 75 degrees with the vertical line through B. #### Analysis: - The angles indicate that the tensions in both rope segments will have both vertical and horizontal components. - The system is in equilibrium, implying that the sum of the vertical forces and the sum of the horizontal forces acting on point C should both equal zero. #### Applications: This type of diagram is essential in understanding the principles of static equilibrium. It demonstrates how forces are distributed in a system where multiple tension forces act at a single point. This principle is applied in numerous fields, including civil engineering for structures such as bridges, mechanical engineering for pulley systems, and physics for analyzing the states of equilibrium.
Transcribed Image Text:### Analysis of Forces in a Suspended Mass System **Figure 03:** This diagram illustrates a mass suspended using a system of ropes and fixed points. #### Components of the System: - **A:** A fixed point on a vertical wall where one end of the rope is attached. - **B:** Another fixed point on a horizontal support, where another end of the rope is attached. - **C:** The point where the ropes intersect and from where the mass is suspended. #### Description: - The system includes a mass of 200 kg hanging from point C. - There are two segments of the ropes: - **Segment AC:** One part of the rope is connected from point A to point C. - **Segment BC:** The other part of the rope is connected from point B to point C. #### Angles: - Both segments of the ropes, AC and BC, form an angle of 75 degrees with the respective surfaces they are fixed to. - **Angle between A and AC:** 75 degrees with the horizontal line through A. - **Angle between B and BC:** 75 degrees with the vertical line through B. #### Analysis: - The angles indicate that the tensions in both rope segments will have both vertical and horizontal components. - The system is in equilibrium, implying that the sum of the vertical forces and the sum of the horizontal forces acting on point C should both equal zero. #### Applications: This type of diagram is essential in understanding the principles of static equilibrium. It demonstrates how forces are distributed in a system where multiple tension forces act at a single point. This principle is applied in numerous fields, including civil engineering for structures such as bridges, mechanical engineering for pulley systems, and physics for analyzing the states of equilibrium.
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