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December 18, 2014

December 18, 2014

Posted by **Taylor** on Monday, November 9, 2009 at 3:24pm.

Consider a 75kg climber at the center of a Tyrolean traverse, spanning a 25m chasm. To be within its recommended safety range, what minimum distance x in meters must the rope sag?

If the Tyrolean traverse is set up incorrectly so that the rope sags by only one-fourth the distance found in Part A, determine the tension in the rope in Newtons.

Will the rope break?

Please, someone help me understand this problem.

- Univ Phys -
**bobpursley**, Monday, November 9, 2009 at 3:42pmTake the angle of sag. if Then x/12.5 =tan Sagangle.

But look at force. The downward force is 1/2 75g (each side holds half the weight)

so 37.5g/Tension=Sin Sagangle

But the tension cannot be greater than 27kN/12

so you can then determine the sag angle. Put that back in to the tangent equation, and find x.

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