Please solve this question in details and explaination.a) Draw the FBD (Please solve Ax,y,z and Bx,y)b) Express the equilibrium equations and determine the support reactions at hinges A and B.

nded time - 35 minutes A 20-kg door is supported by two hinges at points A and B. The hinges are aligned as not to exert couple moments on the door. The hinge at point B does not exert a force parallel to the hinge axis (Bz = 0). The door is homogeneous and the weight of the door acts at its center of mass. Determine the reactions at points A and B when the door is open 30. (Hint: The reaction forces at points A and B and the weight of the door all align with the x, y, or z axes.) 0.80 m 0.30 m BA 1.50 m A 0.30 m X 30 y