![]() Determine the magnitude of the tension in A B, A C and A D. Determine the tension in Ropes A B, A C, and A D in variable f For parts g-h, assume W = 30 kN : g. Write the equations of equilibrium in the x, y, and z directions variables you have defined. Determine the x, y, and z components of the tension i e. Determine the x, y, and z components of the tension i iii. Determine the x, y, and z components of the tension ii. Write the weight of the flower pot, W, as a force vector acting on point A. For a two-dimensional problem, we break our one vector force equation into two scalar component. Three-dimensional problems are usually solved using vector algebra rather than the scalar approach used in the last section. ![]() The sum of each of these will be equal to zero. Label the positive directions of the coordinate axes on the FBD (think about which point to use.) b. This means that a rigid body in a two-dimensional problem has three possible equilibrium equations that is, the sum of force components in the x and y directions, and the moments about the z axis. 5.6 EQUATIONS OF EQUILIBRIUM As stated earlier, when a body is in equilibrium, the net force and the net moment equal zero, i.e., F 0 and M O 0. Draw a sketch you will use for the remaining problems with relevant information. Complete the solution steps listed below (but be prepared to annotate these steps on your own during the exam.) Plan: Use particle equilibrium with 3D scalar equations to solve for the unknowns. Ropes A B, A C and A D are separate ropes connected to Point A. A flower pot of given weight, W, is supported by three ropes as shown in the provided figure.
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