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The figure(Sorry, I don\'t know how to include the provided figure/diagram from

ID: 1549897 • Letter: T

Question

The figure(Sorry, I don't know how to include the provided figure/diagram from Mastering Physics. All I can say is that there is a 15 degree angle) shows a technique called rappelling, used by mountaineers for descending vertical rock faces. The climber sits in a rope seat, and the rope slides through a friction device attached to the seat. Suppose that the rock is perfectly smooth (i.e., there is no friction) and that the climber's feet push horizontally onto the rock. The climber's weight is 560 N .

Part A: Find the tension in the rope.
Part B: Find the force the climber's feet exert on the rock face. Start with a free-body diagram of the climber.

Explanation / Answer

The vertical component of the rope tension must balance the weight of the climber.

T = 560/cos15
T = 579.75466
T = 580 N

The force on the rock face is

F = 579.75466sin15
F = 150.051547
F = 150 N

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