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.

Question
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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