Answered: A load of 100 lb is hung from the…

A load of 100 lb is hung from the middle of a rope which is stretched between two rigid walls 30 ft apart. Due to the load, the rope sags 4 feet in the middle. Determine the tension in the rope.

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 47P: By how much does a 65.0kg mountain climber stretch her 0.800cm diameter nylon rope when she hangs...

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Concept explainers

Mechanical Properties of Solids

There are three types of matter- solid, liquid and gas. Out of them, solids have a rigid shaped and size. The intermolecular forces of attractions in solids are greatest. Mechanical properties are the physical properties of a material which it shows, when it is provided with certain amount of force or load. These properties are to be kept in mind for various purposes. When a force is applied to an object, the object may or may not get deformed depending upon its elastic property. But every time the object develops a restoring force against the force applied. This is commonly known as stress. If the object changes its dimensions due to the force applied it develops strain ( which is the ratio of change in dimension to the original dimension).

Question

A load of 100 lb is hung from the middle of a rope which is stretched between two rigid walls 30 ft apart.
Due to the load, the rope sags 4 feet in the middle. Determine the tension in the rope.

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