What is the tension in the rope at this point?

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SUMMARY

The tension in the rope when Arlene is at the midpoint of a 10.0-meter span with a 10-degree sag is calculated using the principles of equilibrium. Given Arlene's mass of 50 kg, the forces acting on her include her weight and the vertical components of the tension in the rope. The tension can be determined by resolving the forces and applying trigonometric functions to find the resultant tension in the rope.

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How do you solve this problem?
Arlene is to walk across a high wre strung horizontally between two buildings 10.0meters apart. The sag in in the rope when she is at the mid point is 10 degrees. If her mass is 50 kgs, what is the tension in the rope at this point?
 
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By identifying all the forces acting on the woman (draw a picture) and then applying the conditions for equilibrium (that the net force on her must be zero).
 

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