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.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter9: Moments And Products Of Inertia Of Areas
Section: Chapter Questions
Problem 9.14P: Compute the dimensions of the rectangle shown in Fig. (b) that has the same kx and ky as the W867...
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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.
Transcribed Image Text: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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