Question

The car in Fig. a and the pallet supporting it weigh 13500 N. They are supported by four cables AB, AC, AD, and AE. The locations of the attachment points on the pallet are shown in Fig. b. The tensions in cables AB and A the tensions in the cables.

Answer 1

Isolate the knot at A. Let TAB,T_AC,T_AD and T_AE be the forces exerted by the tensions in the cables. The force exerted by the vertical cable is (13500 N)j. We first find the position vectors and then express all of the forces as vectors.

The equilibrium equations are 

Solving, we find