(Solved): In the figure, A \( 15,000-\mathrm{N} \) crane pivots around a friction-free axle at its base and i ...

In the figure, A \( 15,000-\mathrm{N} \) crane pivots around a friction-free axle at its base and is supported by a cable making a \( 25^{\circ} \) angle with the crane. The crane is \( 16 \mathrm{~m} \) long and is not uniform. Its center of gravity is \( 7.0 \mathrm{~m} \) from the axle as measured along the crane. The cable is attached \( 3.0 \mathrm{~m} \) from the upper end of the crane. When the crane is raised to \( 55^{\circ} \) above the horizontal holding an \( 11,000-\mathrm{N} \) pallet of bricks by a 2.2-m, very light cord, find (a) The tension in the cable (b) The horizontal and vertical components of the force that the axle exerts on the crane.