To use the equations of equilibrium for a three-dimensional object to solve for the support reactions. The plate shown in (Figure 1) is supported by a roller and a cable in the x-direction at A, a ball-and-socket joint at B, and a roller at C. A force F = 7.1 kN is applied at the centroid of the plate parallel to the yz-plane and making an angle of θ = 36 degrees with the xy-plane. The sides AB and BC of the plate have length L = 1.5 mm What is the reaction force in the y-direction at point B? Let a positive force act in the positive y-direction What is the reaction force in the z-direction at point C? What is the reaction force in the z-direction at point A? What is the reaction force in the z-direction at point B? What is the tension T in the cable? What is the reaction force in the x-direction at point B? Let a positive force act in the positive x-direction.
To use the equations of equilibrium for a three-dimensional object to solve for the support reactions. The plate shown in (Figure 1) is supported by a roller and a cable in the x-direction at A, a ball-and-socket joint at B, and a roller at C. A force F = 7.1 kN is applied at the centroid of the plate parallel to the yz-plane and making an angle of θ = 36 degrees with the xy-plane. The sides AB and BC of the plate have length L = 1.5 mm What is the reaction force in the y-direction at point B? Let a positive force act in the positive y-direction What is the reaction force in the z-direction at point C? What is the reaction force in the z-direction at point A? What is the reaction force in the z-direction at point B? What is the tension T in the cable? What is the reaction force in the x-direction at point B? Let a positive force act in the positive x-direction.
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To use the equations of equilibrium for a three-dimensional object to solve for the support reactions.
The plate shown in (Figure 1) is supported by a roller and a cable in the x-direction at A, a ball-and-socket joint at B, and a roller at C. A force F = 7.1 kN is applied at the centroid of the plate parallel to the yz-plane and making an angle of θ = 36 degrees with the xy-plane. The sides AB and BC of the plate have length L = 1.5 mm
What is the reaction force in the y-direction at point B? Let a positive force act in the positive y-direction
What is the reaction force in the z-direction at point C?
What is the reaction force in the z-direction at point A?
What is the reaction force in the z-direction at point B?
What is the tension T in the cable?
What is the reaction force in the x-direction at point B? Let a positive force act in the positive x-direction.
Transcribed Image Text:The image depicts a 3D geometric figure on a coordinate system with axes labeled \(x\), \(y\), and \(z\).
### Description:
- **Plane ABC**: A triangular plane positioned on the \(x\) and \(y\) axes.
- **Points**:
- \(A\) is on the \(x\)-axis.
- \(B\) is on the plane, at an equal distance from \(A\) and \(C\), depicted with blue supports.
- \(C\) is on the \(y\)-axis.
- **Point \(D\)**: Located on the \(z\)-axis, above the plane \(ABC\).
- **Line \(DF\)**: A line drawn from \(D\) to the edge \(BC\).
- **Angle \(\theta\)**: Formed between line \(DF\) and the plane \(ABC\), depicted with a purple triangular section indicating the angle.
This illustration is likely used to demonstrate concepts related to 3D rotation, projection, or angles between planes and lines in geometry.
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