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Practice Problems

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

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. 11.29). 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-mvety 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.

Hint
ManagementTension is the pulling force that is transmitted axially through a cable, a chain, a string, or by the end of each rod. It is also the action reaction force that acts on the end of the element. Tension is calculated by the formulae T=mg+ma where, T represents tension in (N or kg-m/s2), g represents acceleration due to gravity in (9.8 m/s2)....

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