Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Sent to:
Search glass icon
  • Login
  • Textbooks
  • Ask our Educators
  • Study Tools
    Study Groups Bootcamps Quizzes AI Tutor iOS Student App Android Student App StudyParty
  • For Educators
    Become an educator Educator app for iPad Our educators
  • For Schools

Problem

A 25 -kg object is being lifted by pulling on the…

02:45

Question

Answered step-by-step

Problem 78 Hard Difficulty

The roof over a $9.0-\mathrm{m} \times 10.0-\mathrm{m}$ room in a school has a total
mass of $13,600 \mathrm{kg} .$ The roof is to be supported by vertical wooden $" 2 \times 4 \mathrm{s}^{\prime \prime}$ (actually about 4.0 $\mathrm{cm} \times 9.0 \mathrm{cm} )$ equally
spaced along the 10.0 -m sides. How many supports are required on each side, and how far apart must they be?
Consider only compression, and assume a safety factor of $12 .$


Video Answer

Solved by verified expert

preview
Numerade Logo

This problem has been solved!

Try Numerade free for 7 days

Jayashree Behera
Numerade Educator

Like

Report

Textbook Answer

Official textbook answer

Video by Jayashree Behera

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Related Courses

Physics 101 Mechanics

Physics for Scientists and Engineers with Modern Physics

Chapter 12

Static Equilibrium; Elasticity and Fracture

Related Topics

Equilibrium and Elasticity

Discussion

You must be signed in to discuss.
Top Physics 101 Mechanics Educators
Andy Chen

University of Michigan - Ann Arbor

LB
Liev Birman
Zachary Mitchell

Hope College

Meghan Miholics

McMaster University

Physics 101 Mechanics Courses

Lectures

Video Thumbnail

04:12

Elastic Potential Energy - Overview

In physics, potential energy is the energy possessed by a body by virtue of its position relative to others, stresses within itself, electric charge, and other factors. The unit for energy in the International System of Units is the joule (J). One joule can be defined as the work required to produce one newton of force, or one newton times one metre. Potential energy is the energy of an object. It is the energy by virtue of an object's position relative to other objects. Potential energy is associated with restoring forces such as a spring or the force of gravity. The action of stretching the spring or lifting the mass is performed by a force which works against the force field of the potential. The potential energy of an object is the energy it possesses due to its position relative to other objects. It is said to be stored in the field. For example, a book lying on a table has a large amount of potential energy (it is said to be at a high potential energy) relative to the ground, which has a much lower potential energy. The book will gain potential energy if it is lifted off the table and held above the ground. The same book has less potential energy when on the ground than it did while on the table. If the book is dropped from a height, it gains kinetic energy, but loses a larger amount of potential energy, as it is now at a lower potential energy than before it was dropped.

Video Thumbnail

04:17

Elastic Potential Energy - Example 1

In physics, potential energy is the energy possessed by a body by virtue of its position relative to others, stresses within itself, electric charge, and other factors. The unit for energy in the International System of Units is the joule (J). One joule can be defined as the work required to produce one newton of force, or one newton times one metre. Potential energy is the energy of an object. It is the energy by virtue of an object's position relative to other objects. Potential energy is associated with restoring forces such as a spring or the force of gravity. The action of stretching the spring or lifting the mass is performed by a force which works against the force field of the potential. The potential energy of an object is the energy it possesses due to its position relative to other objects. It is said to be stored in the field. For example, a book lying on a table has a large amount of potential energy (it is said to be at a high potential energy) relative to the ground, which has a much lower potential energy. The book will gain potential energy if it is lifted off the table and held above the ground. The same book has less potential energy when on the ground than it did while on the table. If the book is dropped from a height, it gains kinetic energy, but loses a larger amount of potential energy, as it is now at a lower potential energy than before it was dropped.

Join Course
Recommended Videos

09:35

The roof over a 9.0-m $\ti…

02:49

A tunnel of length $L=200 …

08:23

A tunnel of length $L=150 …

04:06

A tunnel $150 \mathrm{~m}…

03:38

A tunnel of length $L=150 …

05:01

Roof of house in wind The …

03:07

The mass of the roof of a …

01:58

A bronze rod fixed to a ce…

02:25

The construction of a flat…

Watch More Solved Questions in Chapter 12

Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
Problem 19
Problem 20
Problem 21
Problem 22
Problem 23
Problem 24
Problem 25
Problem 26
Problem 27
Problem 28
Problem 29
Problem 30
Problem 31
Problem 32
Problem 33
Problem 34
Problem 35
Problem 36
Problem 37
Problem 38
Problem 39
Problem 40
Problem 41
Problem 42
Problem 43
Problem 44
Problem 45
Problem 46
Problem 47
Problem 48
Problem 49
Problem 50
Problem 51
Problem 52
Problem 53
Problem 54
Problem 55
Problem 56
Problem 57
Problem 58
Problem 59
Problem 60
Problem 61
Problem 62
Problem 63
Problem 64
Problem 65
Problem 66
Problem 67
Problem 68
Problem 69
Problem 70
Problem 71
Problem 72
Problem 73
Problem 74
Problem 75
Problem 76
Problem 77
Problem 78
Problem 79
Problem 80
Problem 81
Problem 82
Problem 83
Problem 84
Problem 85
Problem 86
Problem 87
Problem 88
Problem 89
Problem 90
Problem 91
Problem 92
Problem 93
Problem 94
Problem 95
Problem 96
Problem 97
Problem 98

Video Transcript

full boost. So we know that stress is equal to the force which is here. The Lord force over area and hit here. Idiom ins Video on this is equal to compressive strength over the safety factor and since the Lord force only guns from the weight off the roof so we substitute wait here in place off force. The weight is mass times gravity on area is basically the my application off the dimensions which are Siegel Point. It's just rated area for now began substitute That may lose later on DDE. Look a lot more. Think that area is area off all the supports, which means that the total area will be equal to number off supports. It's calling. It's been ordered by this hash sign. Dines idea for one support. So this is the total area that is equal to the town here. This means that number off supports is equal. Do the week it is mg times 60 factor over complicity Strength gyn's You need a sorry area par support, which is 1/4 e one. Now let's plug the values into the secretion, so we have mg. With this mass times, gravity is amasses 1.36 Time tempted by four Katie gravity is 9.8. Meet up. A second Scotch safety factor is given to be 12 years. The compressive strength is 35 dimes tend to the bar, six Neutron bomb meter squared and then we have area for one support, which is my application off. Their dimensions with is equal to 0.4 meter times. Cedar 0.9 meters actually convert the units in tow meters to be consistent with the units. Now we solve this to find the number off supports, which comes out to be 12.69 now. This is strange because in number should not be affection are there should not be any decimal point here. So since there are, these are more than 12 supports and to have since there are to be more than 12 supports and to have the same same number off supports on each side, so there will be 14 supports. This means that there are seven supports on each side for some board on eat side this equal toe seven. Therefore, there will be six support to support spans, support to support spans, and each off these will be given by spacing. It's will equal do then May does or were the gaps It is six. Therefore, this is equal door 1.66 meters. That's right, Old gap. So the spacing is 1.66 meter. What gap? Let me just repeat how they arrived from here to here. So we know that there should be more than 12 supports on. If you look at this value, this is more than to us, but not hurting. So if we let's take a round off off this and we say that this is equal to 30. But this is aren't on dhe. One more condition is that we should have the same number off supports on either side. Therefore instead off approximately two tarting it will not be a good idea. The approximate to 14. Now, this is even on this will work. And this one gave us seven supports on each side. So that's how we arrive at ah, for David and crying in the doll gap. Well, uh, the spacing. Oh, here

Get More Help with this Textbook
Douglas C. Giancoli

Physics for Scientists and Engineers with Modern Physics

View More Answers From This Book

Find Another Textbook

Study Groups
Study with other students and unlock Numerade solutions for free.
Math (Geometry, Algebra I and II) with Nancy
Arrow icon
Participants icon
143
Hosted by: Ay?Enur Çal???R
Math (Algebra 2 & AP Calculus AB) with Yovanny
Arrow icon
Participants icon
68
Hosted by: Alonso M
See More

Related Topics

Equilibrium and Elasticity

Top Physics 101 Mechanics Educators
Andy Chen

University of Michigan - Ann Arbor

LB
Liev Birman

Numerade Educator

Zachary Mitchell

Hope College

Meghan Miholics

McMaster University

Physics 101 Mechanics Courses

Lectures

Video Thumbnail

04:12

Elastic Potential Energy - Overview

In physics, potential energy is the energy possessed by a body by virtue of its position relative to others, stresses within itself, electric charge, and other factors. The unit for energy in the International System of Units is the joule (J). One joule can be defined as the work required to produce one newton of force, or one newton times one metre. Potential energy is the energy of an object. It is the energy by virtue of an object's position relative to other objects. Potential energy is associated with restoring forces such as a spring or the force of gravity. The action of stretching the spring or lifting the mass is performed by a force which works against the force field of the potential. The potential energy of an object is the energy it possesses due to its position relative to other objects. It is said to be stored in the field. For example, a book lying on a table has a large amount of potential energy (it is said to be at a high potential energy) relative to the ground, which has a much lower potential energy. The book will gain potential energy if it is lifted off the table and held above the ground. The same book has less potential energy when on the ground than it did while on the table. If the book is dropped from a height, it gains kinetic energy, but loses a larger amount of potential energy, as it is now at a lower potential energy than before it was dropped.

Video Thumbnail

04:17

Elastic Potential Energy - Example 1

In physics, potential energy is the energy possessed by a body by virtue of its position relative to others, stresses within itself, electric charge, and other factors. The unit for energy in the International System of Units is the joule (J). One joule can be defined as the work required to produce one newton of force, or one newton times one metre. Potential energy is the energy of an object. It is the energy by virtue of an object's position relative to other objects. Potential energy is associated with restoring forces such as a spring or the force of gravity. The action of stretching the spring or lifting the mass is performed by a force which works against the force field of the potential. The potential energy of an object is the energy it possesses due to its position relative to other objects. It is said to be stored in the field. For example, a book lying on a table has a large amount of potential energy (it is said to be at a high potential energy) relative to the ground, which has a much lower potential energy. The book will gain potential energy if it is lifted off the table and held above the ground. The same book has less potential energy when on the ground than it did while on the table. If the book is dropped from a height, it gains kinetic energy, but loses a larger amount of potential energy, as it is now at a lower potential energy than before it was dropped.

Join Course
Recommended Videos

09:35

The roof over a 9.0-m $\times$ 10.0-m room in a school has a total mass of 13,6…

02:49

A tunnel of length $L=200 \mathrm{~m}$, height $H=7.2 \mathrm{~m}$, and width $…

08:23

A tunnel of length $L=150 \mathrm{~m}$, height $H=7.2 \mathrm{~m}$, and width $…

04:06

A tunnel $150 \mathrm{~m}$ long, $7.2 \mathrm{~m}$ high, and $5.8 \mathrm{~m}$…

03:38

A tunnel of length $L=150 \mathrm{m},$ height $H=7.2 \mathrm{m},$ and width 5.8…

05:01

Roof of house in wind The mass of the roof of a house is $2.1 \times 10^{4} {kg…

03:07

The mass of the roof of a house is $2.1 \times 10^{4} \mathrm{kg}$ and the area…

01:58

A bronze rod fixed to a ceiling supports a load of $40.0 \mathrm{KN}(17.8$ $\ti…

02:25

The construction of a flat rectangular roof $(5.0 \mathrm{m} \times 6.3 \mathrm…
Additional Physics Questions

00:59

true or false converging continental crust or plates result in collision zon…

00:59

true or false converging continental crust or plates result in collision zon…

02:07

how do you compare the action and reactions forces in termsof magnitude and …

01:34

how does a players discussion making affect the success of any game or sport…

03:03

how can you say that a person is physical fit?

00:43

write 3 things that you want to know more about sports

02:16

Which pair refers to the deformation of two blocks that tend to pull apart?A…

02:39

Plants make food by absorbing water and carbon dioxide. Which of the followi…

02:03

How many joules of work are done on an object when a force of 10 N pushes it…

01:41

1. What do you think will happen when ions of opposite charge(s) are attract…

Add To Playlist

Hmmm, doesn't seem like you have any playlists. Please add your first playlist.

Create a New Playlist

`

Share Question

Copy Link

OR

Enter Friends' Emails

Report Question

Get 24/7 study help with our app

 

Available on iOS and Android

About
  • Our Story
  • Careers
  • Our Educators
  • Numerade Blog
Browse
  • Bootcamps
  • Books
  • Notes & Exams NEW
  • Topics
  • Test Prep
  • Ask Directory
  • Online Tutors
  • Tutors Near Me
Support
  • Help
  • Privacy Policy
  • Terms of Service
Get started