When the Tucurui Dam was constructed in northern Brazil, the lake that was created covered a large forest of valuable hardwood trees. It was found that even after 15 years underwater the trees were perfectly preserved and underwater logging was started. During the logging process a tree is selected, trimmed, and anchored with ropes to prevent it from shooting to the surface like a missile when cut. Assume that a typical large tree can be approximated as a truncated cone with a base diameter of 7.4 ft, a top diameter of 1.2 ft, and a height of 130 ft. Determine the resultant vertical force that the ropes must resist when the completely submerged tree is cut. The specific gravity of the wood is approximately 0.6.

When the Tucurui Dam was constructed in northern Brazil, the lake that was created covered a large forest of valuable hardwood trees. It was found that even after 15 years underwater the trees were perfectly preserved and underwater logging was started. During the logging process a tree is selected, trimmed, and anchored with ropes to prevent it from shooting to the surface like a missile when cut. Assume that a typical large tree can be approximated as a truncated cone with a base diameter of 7.4 ft, a top diameter of 1.2 ft, and a height of 130 ft. Determine the resultant vertical force that the ropes must resist when the completely submerged tree is cut. The specific gravity of the wood is approximately 0.6.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.

Question

When the Tucurui Dam was constructed in northern Brazil, the lake that was created covered a large forest of valuable hardwood
trees. It was found that even after 15 years underwater the trees were perfectly preserved and underwater logging was started.
During the logging process a tree is selected, trimmed, and anchored with ropes to prevent it from shooting to the surface like a
missile when cut. Assume that a typical large tree can be approximated as a truncated cone with a base diameter of 7.4 ft, a top
diameter of 1.2 ft, and a height of 130 ft. Determine the resultant vertical force that the ropes must resist when the completely
submerged tree is cut. The specific gravity of the wood is approximately 0.6.

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