A 13.2 kg child jumps up and grabs a (round) horizontal tree branch that has a diameter of 5 cm. The chil grabs the branch 30 cm from the trunk, and the weight of the child causes the branch to sag. If the shear modulus for the tree is 1.016 x 106 N/m2, how how much does the branch sag when weighted? cm

A 13.2 kg child jumps up and grabs a (round) horizontal tree branch that has a diameter of 5 cm. The chil grabs the branch 30 cm from the trunk, and the weight of the child causes the branch to sag. If the shear modulus for the tree is 1.016 x 106 N/m2, how how much does the branch sag when weighted? cm

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 74AP: Two rods, one made of copper and the other of steel, have the same dimensions. If the copper rod...

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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 13.2 kg child jumps up and grabs a (round) horizontal tree branch that has a diameter of 5 cm. The child
grabs the branch 30 cm from the trunk, and the weight of the child causes the branch to sag. If the shear
modulus for the tree is 1.016 x 10° N/m2, how how much does the branch sag when weighted?
cm

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