In a mountain-climbing technique called the "Tyrolean tra- verse," a rope is anchored on both ends (to rocks or strong trees) across a deep chasm, and then a climber traverses the rope while attached by a sling as in Fig. 9–91. This technique generates tremendous forces in the rope and anchors, so a basic understanding of physics is crucial for safety. A typical climbing rope can undergo a tension force of perhaps 29 kN before breaking, and a “safety factor" of 10 is usually recom- mended. The length of rope used in the Tyrolean traverse must allow for some “sag" to remain in the recommended safety range. Consider a 75-kg climber at the center of a Tyrolean traverse, spanning a 25-m chasm. (a) To be within its recommended safety range, what minimum distance x must the rope sag? (b) If the Tyrolean traverse is set up incorrectly so that the rope sags by only one-fourth the distance found in (a), determine the tension in the rope. Ignore stretching of the rope. Will the rope break? 25 m IX 75 kg FIGURE 9-91 Problem 79.

In a mountain-climbing technique called the "Tyrolean tra- verse," a rope is anchored on both ends (to rocks or strong trees) across a deep chasm, and then a climber traverses the rope while attached by a sling as in Fig. 9–91. This technique generates tremendous forces in the rope and anchors, so a basic understanding of physics is crucial for safety. A typical climbing rope can undergo a tension force of perhaps 29 kN before breaking, and a “safety factor" of 10 is usually recom- mended. The length of rope used in the Tyrolean traverse must allow for some “sag" to remain in the recommended safety range. Consider a 75-kg climber at the center of a Tyrolean traverse, spanning a 25-m chasm. (a) To be within its recommended safety range, what minimum distance x must the rope sag? (b) If the Tyrolean traverse is set up incorrectly so that the rope sags by only one-fourth the distance found in (a), determine the tension in the rope. Ignore stretching of the rope. Will the rope break? 25 m IX 75 kg FIGURE 9-91 Problem 79.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter12: Static Equilibrium And Elasticity

Section: Chapter Questions

Problem 12.2CYU: Check your Understanding Explain which one of the following satisfies both equilibrium conditions:...

See similar textbooks

Similar questions

13–35. The coefficient of static friction between the 200-kg crate and the flat bed of the truck is µ, = 0.3. Determine the shortest time for the truck to reach a speed of 60 km/h, starting from rest with constant acceleration, so that the crate does not slip.
The two planks in Fig. 6–30a are connected together by cable BC anda smooth spacer DE. Draw the free-body diagram of the system of both planks andapply MA = 0 to determine NF. Then use the free-body diagram ofCEF to determine FDE and FBC.
(II) A 27-kg chandelier hangs from a ceiling on a vertical 4.0-m-long wire. (a) What horizontal force would be necessary to displace its position 0.15 m to one side? (b) What will be the tension in the wire?
Paragraf Stiller AF -5 KN force is applied on steel pipes in -z axis direction. According to connection coordinates of the pipes AD, BD, and CD, please find the forces that are coming to each pipe. F=5 kN D(0,,1100) AD CD (Coord inates in mm) BD č(-440, 240, ) B(500, 400, 0) ANSWERS Tp(V) T(EN) (10 pts) (10pts) (10 pts) F8 F9 F10 F11 F12 Insert 10
(8) Why are the forces exerted on the outside world by the limbs of our bodies usually much smaller than the forces exerted by muscles inside the body? on thot t+hese
(2) The two crates A and B shown below, each with a mass of 50 kg and 60 kg respectively. Determine the maximum force P that can be applied without causing the two crates to move (0 = 25°). A B μs = 0.25 με τ 0.30
(II) (a) What is the maximum tension possible in a1.00-mm-diameter nylon tennis racket string? (b) If youwant tighter strings, what do you do to prevent breakage:use thinner or thicker strings? Why? What causes stringsto break when they are hit by the ball?
(II) Find the tension in the two wires supporting the traffic light shown in Fig. 9–53. 53° 37 O 33 kg FIGURE 9–53 Problem 13.
True or False?
I think that friction on the x axis is zero so would I add all the weight up on the y axis and divide by the gravity?
I need help with the FBD of these two
A loading car is at rest on a track forming an angle of25o with the vertical. The gross weight of the car andits load is 5500 lb, and it acts at a point 30 in. from thetrack, halfway between the two axles. The car is heldby a cable 24 in. from the track. Determine the tensionin the cable and the reaction at each pair of wheels.