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A 15,000-N crane pivots around a friction-free axle at its

Chapter 5, Problem 18E

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QUESTION:

A 15,000-N crane pivots around a friction-free axle at its base and is supported by a cable making a 25° angle with the crane (?Fig. E11.18?). The crane is 16 m long and is not uniform, its center of gravity being 7.0 m from the axle as measured along the crane. The cable is attached 3.0 m from the upper end of the crane. When the crane is raised to 55° above the horizontal holding an 11,000-N pallet of bricks by a 2.2-m, very light cord, find (a) the tension in the cable and (b) the horizontal and vertical components of the force that the axle exerts on the crane. Start with a free-body diagram of the crane.

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QUESTION:

A 15,000-N crane pivots around a friction-free axle at its base and is supported by a cable making a 25° angle with the crane (?Fig. E11.18?). The crane is 16 m long and is not uniform, its center of gravity being 7.0 m from the axle as measured along the crane. The cable is attached 3.0 m from the upper end of the crane. When the crane is raised to 55° above the horizontal holding an 11,000-N pallet of bricks by a 2.2-m, very light cord, find (a) the tension in the cable and (b) the horizontal and vertical components of the force that the axle exerts on the crane. Start with a free-body diagram of the crane.

ANSWER:

Solution 18E a) 0 0 z 0 gives T[(13 m sin 25 ) w (7 m cos 5C ) = 0 11,000 N×(16 m cos 55 )+15,000 N(7 m cos 55 ) T = 13 m si

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