A man accidentally fell into an open hole in the ground. To lift him out of the hole, three (essentially) weightless ropes connected to three lifting mechanisms are sent down. The man then ties all ropes around his right hand. The tensions in the first and second ropes are respectively 25.0 N, 45.0° clockwise from the vertical and 25.0 N, 45.0° counterclockwise from the vertical. The tension magnitude in the third rope is unknown but its direction is vertically up. If all the vertical components of the tensions are just sufficient to lift the man weighing 490 N out of the hole in an upward direction, what is the magnitude of the tension in the third rope?

A man accidentally fell into an open hole in the ground. To lift him out of the hole, three (essentially) weightless ropes connected to three lifting mechanisms are sent down. The man then ties all ropes around his right hand. The tensions in the first and second ropes are respectively 25.0 N, 45.0° clockwise from the vertical and 25.0 N, 45.0° counterclockwise from the vertical. The tension magnitude in the third rope is unknown but its direction is vertically up. If all the vertical components of the tensions are just sufficient to lift the man weighing 490 N out of the hole in an upward direction, what is the magnitude of the tension in the third rope?

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter5: Three-dimensional Equilibrium

Section: Chapter Questions

Problem 5.42P: The 350-lb homogeneous plate has the shape of an isosceles triangle. The plate is supported by a...

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