Boom AB is designed to support a maximum load of 1 ton (2000 lb) as shown. Connection A is...

Boom AB is designed to support a maximum load of 1 ton (2000 lb) as shown. Connection A is a pinned connection.

(a) Assuming that the maximum tension force that can develop in cable BC is 3000 lb, determine the minimum angle θ required to safely support the load and the reacting force at A.

(b) Assuming that the maximum tension force that can develop in cable BC is 4000 lb, determine the minimum angle θ required to safely support the load and the reacting force at A.

(c) Assuming that the maximum tension force that can develop in cable BC is 5000 lb, determine the minimum angle θ required to safely support the load and the reacting force at A.