The crane provides a long-reach capacity by using the telescopic boom segment DE. The entire boom is supported by a pin at A and by the telescopic hydraulic cylinder BC, which can be considered as a two-force member. The rated load capacity of the crane is measured by a maximum force developed in the hydraulic cylinder. If this maximum force is developed when the boom supports a mass m = 6 Mg and its length is l = 40 and = 60¬∞, determine the greatest mass that can be supported when the boom length is extended to l = 50 m and = 45¬∞. Neglect the weight of the boom and the size of the pulley at E. Assume the crane does not overturn. Note: when = 60¬∞ BC is vertical; however, when = 45¬∞ this is not the case.

The crane provides a long-reach capacity by using the telescopic boom

1.	The crane provides a long-reach capacity by using the telescopic boom segment DE. The entire boom is supported by a pin at A and by the telescopic hydraulic cylinder BC, which can be considered as a two-force member. The rated load capacity of the crane is measured by a maximum force developed in the hydraulic cylinder. If this maximum force is developed when the boom supports a mass m = 6 Mg and its length is l = 40 and = 60¬∞, determine the greatest mass that can be supported when the boom length is extended to l = 50 m and = 45¬∞. Neglect the weight of the boom and the size of the pulley at E. Assume the crane does not overturn. Note: when = 60¬∞ BC is vertical; however, when = 45¬∞ this is not the case.
A.	m = 7.50 Mg
B.	m = 4.80 Mg
C.	m = 3.26 Mg
D.	m = 4.61 Mg
Answer» D. m = 4.61 Mg

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