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The horizontal beam in the figure below (Figure 1) weighs 190 NN and its center of gravity is at its center. A)Make a free-body diagram of the beam. The beam attaches to the wall via a hinge at dot A. The middle of the beam is indicated by dot B. The cable attaches to the beam and the load are at dot C. b)Find the tension in the cable. c)Find the horizontal component of the force exerted on the beam at the wall. d)Find the vertical component of the force exerted on the beam at the wall.

The horizontal beam in the figure below (Figure 1) weighs 190 NN and its center of gravity is at its center. A)Make a free-body diagram of the beam. The beam attaches to the wall via a hinge at dot A. The middle of the beam is indicated by dot B. The cable attaches to the beam and the load are at dot C. b)Find the tension in the cable. c)Find the horizontal component of the force exerted on the beam at the wall. d)Find the vertical component of the force exerted on the beam at the wall.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The horizontal beam in the figure below (Figure 1) weighs 190 NN and its center of gravity is at its center.

A)Make a free-body diagram of the beam. The beam attaches to the wall via a hinge at dot A. The middle of the beam is indicated by dot B. The cable attaches to the beam and the load are at dot C.

b)Find the tension in the cable.

c)Find the horizontal component of the force exerted on the beam at the wall.

d)Find the vertical component of the force exerted on the beam at the wall.

The diagram illustrates a pulley system used to lift a weight of 300 Newtons. The system is mounted on a wall and consists of an arm extending horizontally 4.00 meters from the wall. A cable extends from the wall up to a pulley at a distance of 3.00 meters, then onward for another 5.00 meters to a point directly above the weight. The weight is suspended from the end of the cable. Key elements: 1. **Pulley System:** - The cable passes over a pulley mounted on a horizontal arm attached to a wall. - The arm is 4.00 meters long. 2. **Distances:** - Vertical segment from wall to pulley: 3.00 meters. - Total horizontal distance from wall to point above the weight: 5.00 meters. 3. **Weight:** - The weight being lifted is 300 Newtons. This setup demonstrates the application of mechanical advantage to lift heavy loads using pulleys and cables.
Transcribed Image Text:The diagram illustrates a pulley system used to lift a weight of 300 Newtons. The system is mounted on a wall and consists of an arm extending horizontally 4.00 meters from the wall. A cable extends from the wall up to a pulley at a distance of 3.00 meters, then onward for another 5.00 meters to a point directly above the weight. The weight is suspended from the end of the cable. Key elements: 1. **Pulley System:** - The cable passes over a pulley mounted on a horizontal arm attached to a wall. - The arm is 4.00 meters long. 2. **Distances:** - Vertical segment from wall to pulley: 3.00 meters. - Total horizontal distance from wall to point above the weight: 5.00 meters. 3. **Weight:** - The weight being lifted is 300 Newtons. This setup demonstrates the application of mechanical advantage to lift heavy loads using pulleys and cables.
### Diagram Explanation for Educational Use **Diagram Overview:** This diagram illustrates a static structural system involving a wall, a beam, and a cable supporting a load. It visualizes the forces acting on the system at various points. **Components and Forces:** 1. **Points:** - **Point A:** Connection to the wall. This point experiences the reaction forces. - **Point B:** Intersection of the beam and cable. - **Point C:** Point of load application where the load is suspended. 2. **Forces:** - **\(H_v\):** Vertical reaction force at point A. - **\(H_h\):** Horizontal reaction force at point A. - **\(T\):** Tension in the cable, directed from point B to the wall and point C. - **\(w\):** Distributed load on the beam from point A to point B, acting downward. - **\(W_{\text{load}}\):** Load at point C, acting downward. This setup is commonly studied in statics to analyze the equilibrium of forces in structural systems. The tension in the cable and reaction forces at the wall ensure the system's stability, allowing it to hold the load at point C.
Transcribed Image Text:### Diagram Explanation for Educational Use **Diagram Overview:** This diagram illustrates a static structural system involving a wall, a beam, and a cable supporting a load. It visualizes the forces acting on the system at various points. **Components and Forces:** 1. **Points:** - **Point A:** Connection to the wall. This point experiences the reaction forces. - **Point B:** Intersection of the beam and cable. - **Point C:** Point of load application where the load is suspended. 2. **Forces:** - **\(H_v\):** Vertical reaction force at point A. - **\(H_h\):** Horizontal reaction force at point A. - **\(T\):** Tension in the cable, directed from point B to the wall and point C. - **\(w\):** Distributed load on the beam from point A to point B, acting downward. - **\(W_{\text{load}}\):** Load at point C, acting downward. This setup is commonly studied in statics to analyze the equilibrium of forces in structural systems. The tension in the cable and reaction forces at the wall ensure the system's stability, allowing it to hold the load at point C.
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