In the figure, a uniform beam of length 13.5 m is supported by a horizontal cable and a hinge at angle θ = 54.8°. The tension in the cable is 423 N. What are (a) the x-component and (b) the y-component of the gravitational force on the beam? What are (c) the x-component and (d) the y-component of the force on the beam from the hinge?

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In the figure, a uniform beam of length 13.5 m is supported by a horizontal cable and a hinge at angle θ = 54.8°. The tension in the cable is 423 N. What are (a) the x-component and (b) the y-component of the gravitational force on the beam? What are (c) the x-component and (d) the y-component of the force on the beam from the hinge?

The image illustrates a mechanical setup featuring a wall with a bracket attachment. A rectangular beam, depicted in red, extends from this bracket at an angle \( \theta \) relative to the horizontal plane. A cable is attached to the free end of the beam and connects to a vertical support on the left.

- **Cable**: Connects the beam's tip to the wall, providing tension support.
- **Angle \( \theta \)**: Represents the angle between the beam and the horizontal x-axis, indicating the beam's inclination.

Coordinate axes are also shown where the horizontal is the x-axis and the vertical is the y-axis. This diagram serves as a model to study forces in statics or dynamics.
Transcribed Image Text:The image illustrates a mechanical setup featuring a wall with a bracket attachment. A rectangular beam, depicted in red, extends from this bracket at an angle \( \theta \) relative to the horizontal plane. A cable is attached to the free end of the beam and connects to a vertical support on the left. - **Cable**: Connects the beam's tip to the wall, providing tension support. - **Angle \( \theta \)**: Represents the angle between the beam and the horizontal x-axis, indicating the beam's inclination. Coordinate axes are also shown where the horizontal is the x-axis and the vertical is the y-axis. This diagram serves as a model to study forces in statics or dynamics.
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