A 25-kg uniform beam with a length of 12-m is connected to a wall through a hinged connection and a cable as shown below. The beam supports a load of 75-kg. Draw a free-body diagram for the beam and determine; a. The torque produced by the load with respect to point C in Newton-meters. b. The tension in the cable in Newtons. d. e. The x component of the reaction force (Rx) at point C in Newtons. They component of the reaction force (Ry) at point C in Newtons. The direction of Ry 12-m 30 WI 6-m 9-m

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**Problem Description:**

A 25-kg uniform beam with a length of 12 m is connected to a wall through a hinged connection and a cable. The beam supports a load of 75 kg. Draw a free-body diagram for the beam and determine:

a. The torque produced by the load with respect to point C in Newton-meters.

b. The tension in the cable in Newtons.

c. The x component of the reaction force (Rx) at point C in Newtons.

d. The y component of the reaction force (Ry) at point C in Newtons.

e. The direction of Ry.

**Diagram Explanation:**

The diagram illustrates a beam connected horizontally to a wall at point C. A cable forms a 30-degree angle with the beam, supporting it by being attached at the beam's free end. A downward load of 75 kg is applied at the beam's free end.

- The beam's total length is 12 m, and it supports the 75 kg weight at 9 m from the wall (point C).

- The cable is shown making a 30-degree angle with the beam. 

- The beam's weight (Wb) is assumed to act at its midpoint, i.e., 6 m from the wall.

**Answer Options:**

1. 12,878

2. 138.6

3. 10,932

4. 1981

5. 9326

6. Upward

7. Downward

8. 287.4

9. 223.7

10. 7350

11. 3842

12. 8820

13. 2287

14. 163.5

15. 1563
Transcribed Image Text:**Problem Description:** A 25-kg uniform beam with a length of 12 m is connected to a wall through a hinged connection and a cable. The beam supports a load of 75 kg. Draw a free-body diagram for the beam and determine: a. The torque produced by the load with respect to point C in Newton-meters. b. The tension in the cable in Newtons. c. The x component of the reaction force (Rx) at point C in Newtons. d. The y component of the reaction force (Ry) at point C in Newtons. e. The direction of Ry. **Diagram Explanation:** The diagram illustrates a beam connected horizontally to a wall at point C. A cable forms a 30-degree angle with the beam, supporting it by being attached at the beam's free end. A downward load of 75 kg is applied at the beam's free end. - The beam's total length is 12 m, and it supports the 75 kg weight at 9 m from the wall (point C). - The cable is shown making a 30-degree angle with the beam. - The beam's weight (Wb) is assumed to act at its midpoint, i.e., 6 m from the wall. **Answer Options:** 1. 12,878 2. 138.6 3. 10,932 4. 1981 5. 9326 6. Upward 7. Downward 8. 287.4 9. 223.7 10. 7350 11. 3842 12. 8820 13. 2287 14. 163.5 15. 1563
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