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?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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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?
Transcribed Image Text: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?
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