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(a) The inclined hoist beam in Figure 1 is designed to support two vertical loads, P1 and P2. The cable ED has a maximum tension capacity of 2000 N before it breaks. Assume the structural system is currently in static equilibrium.

Figure 1: Inclined hoist beam supporting two vertical loads.
i) Define the term “Free Body Diagram” (FBD).
(3 Marks)
ii) Based on the connections shown in Figure 1, describe the nature of the unknown support reactions that exist at pin A and cable ED.
(2 Marks)
(b) The hoist system (Figure 1) is being tested to determine its maximum safe operational limits. Given the constraint that the cable ED reaches its absolute maximum load capacity of 2000 N and the operational relationship between the lifted loads is P1 = 3P2:
i) Draw the Free Body Diagram (FBD) of the inclined beam AD.
(3 Marks)
ii) Analyse the moment equilibrium of the structural system to determine the maximum critical loads P1 and P2 it can safely support.
(6 Marks)
iii) Apply the principles of force equilibrium to calculate the magnitude of the resultant reaction force at pin A.
(4 Marks)
(c) An operator suggests sliding the load P1 down the beam from point B to point D, meaning both P1 and P2 would hang simultaneously from the far end of the beam. Evaluate the structural impact of this change. Using the principle of moments, justify whether this modification will cause the cable ED in Figure 1 to fail if the load magnitudes remain exactly the same as calculated in (b)(ii).
(3 Marks)
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