Four bricks of length l, identical and uniform, are stacked on top of one another (the figure) in such a way that part of each extends beyond the one beneath. Find, in terms of l, the maximum values of (a) a1, (b) a2, (c) a3, (d) a4, and (e) h, such that the stack is in equilibrium

Answers

Answer 1

The maximum values of a₁, a₂, a₃, a₄ and h to make the stack in equilibrium are; a₁_max = L/2; a₂_max = L/4; a₃_max = - L/6; a₄_max = -L/8; h = 25L/24

What is the maximum width?

The system is in equilibrium and length of each brick = L

a) For brick 1;

Due to the fact that the center of gravity lies to the right of L/2,

Then we can say that the maximum value of a₁ = L/2

b) For brick 2;

Since the center of gravity lies to the right of L/2, then we can say that;

The maximum value of a₂ = ¹/₂a₁_max

Thus, the maximum value of a₂ = L/4

c) For brick 3;

Taking the moment of force, the maximum value of a₃ is;

a₃_max =  [(-¹/₂mL) + 2m(0)]/(2m +m)

a₃_max = - L/6

d) For the brick 4;

Taking the moment of force, the maximum value of a₄ is;

a₄ = [3(0) m + m(-L/2)]/(3m + m)

a₄_max = -L/8

e) The value of h = |a1| + |a2| +|a3| + |a4|

h = L/2 + L/4 + L/6 + L/8

h = ((12 + 6 + 4 + 3)/24)L

h = 25L/24

Read more about center of mass at; https://brainly.com/question/16835885


Related Questions

Referencing the scenario, describe an action, other than advancing legislation, that members of congress may take to bring transparency and accountability to the federal reserve.

Answers

An action, that can help bring transparency and accountability to the federal reserve is; by conducting audit in its activities by the Government Accountability Office

How is the Federal Reserve held accountable?

The Federal reserve is an independent  agency that are usually accountable to the public and Congress.

One other action that they can do to  bring transparency and accountability aside the one given is:

Conducting audit in its activities by the Government Accountability Office  Appointees of the Federal Reserves can appear before the appropriate constituted Congressional Committees to provide testimonies of their conducts in office with respect to the issues under investigations.

Read more about federal reserve at; https://brainly.com/question/15599993

The table below lists the means and standard deviations for 5th graders in the district and for the norm group for student performance in four different subjects. According to the table, the performance of the 5th graders in the district is more variable than that of the norm group in which subject(s)?

Answers

Using the coefficient of variation, it is found that the performance of the 5th graders in the district is more variable than that of the norm group in Geography and Science.

What is the coefficient of variation of a distribution?

It is given by the division of the standard deviation by it's mean.

Researching this problem on the internet, we have that for geography, the class mean and SD are given, respectively, by 75 and 12, while the norm is of 10 and 85, hence:

[tex]CV_c = \frac{12}{75} = 0.16[/tex]

[tex]CV_n = \frac{10}{85} = 0.12[/tex]

In English, the mean and SD are 100 and 10, respectively, for both, hence:

[tex]CV_c = \frac{10}{100} = 0.11[/tex]

[tex]CV_n = \frac{10}{100} = 0.11[/tex]

In Spelling, they are for the class of 125 and 12, for the norm 15 and 120, hence:

[tex]CV_c = \frac{12}{125} = 0.096[/tex]

[tex]CV_n = \frac{15}{120} = 0.125[/tex]

In Science, they are for the class of 90 and 20, for the norm 15 and 90, hence:

[tex]CV_c = \frac{20}{90} = 0.2222[/tex]

[tex]CV_n = \frac{15}{90} = 0.1667[/tex]

Hence the class is more variable in Geography and Science.

More can be learned about the coefficient of variation at https://brainly.com/question/24495359

What issue is the supreme court facing in the article?

Answers

wheres the article at

The speaker’s series of exclamations in lines 31-33 (""sweet. . . Pan"") interrupt the pace of the narrative in order to

Answers

The exclamations by the speaker was important to dramatize the overwhelming beauty that is revealed.

What is an exclamation?

It should be noted that an exclamation simply means a sudden cry or remark to express surprise or emotions.

In this case, the exclamations by the speaker was important to dramatize the overwhelming beauty that is revealed.

Learn more about exclamation on:

https://brainly.com/question/579414

Will there be noise cancellation in example a or example b?

Answers

Answer:

Answer: The answer is B. Hope this helps:D (If you don't mind can i have the brainliest answer?) Explanation: Still stuck?

Envision algebra 1 6 topic assessment form b answers

Answers

An equation can have zero or as many solutions as possible

The equation 5x + 2 − 2(x − 1) = 3x + 4 has infinitely many solutions

How to determine the number of solutions?

From the complete question (see attachment), we have the following equation

5x + 2 − 2(x − 1) = 3x + 4

Open the bracket

5x + 2 − 2x + 2 = 3x + 4

Collect like terms

5x − 2x + 2  + 2 = 3x + 4

Evaluate the like terms

3x + 4 = 3x + 4

The expressions on both sides of the equation are the same.

Hence, the equation has infinitely many solutions

Read more about equation solutions at:

https://brainly.com/question/7784687

2. say you are trying to upload a photo to share with a photo sharing app. you see a non-specific error message, like "sorry, something went wrong." list all the ways you can think of to try to fix or work around the error. (200 word max limit)

Answers

To fix the work around the error, it can be as a result of photo size been too large or a network connection issue.

To fix it, try using another photo if it will work.Check your internet connection.check the settings to see if there are some omissions.

Why do a person keeps getting an upload error?

A person may get an error message when they upload a file in when it is in the wrong format.

It is therefore right to ensure you are using a supported file type. One can also try making changes to your or looking at your codecs or editing software.

Learn more about errors from

https://brainly.com/question/11472659

What is the first step to creating an informative essay?editingprewritingdraftingsequencing

Answers

Answer:

find a interesting topic

Explanation:

if you choose a topic your a interested in it will make it easier for you

What should stephan do to improve his study environment? select five options. remove distracting technology have easy access to his study resources ask his parents to leave the room leave some food and drink for snacks while studying allow his dad to stay only if he is helping with studying remove all food and drink from the room

Answers

Answer:

a,b,c,d,e

Explanation:

Answer:remove distracting technology

have easy access to his study resources

ask his parents to leave the room

leave some food and drink for snacks while studying

allow his dad to stay only if he is helping with studying

Explanation:Brainliest I need award

How many moles of carbon monoxide are there in 36. 55 g of carbon monoxide?

Answers

Answer:

mass of carbon monoxide

m = 36.55g

The chemical formula of carbon monoxide is,

C

O

.

Calculating the molar mass of carbon monoxide:

M

=

1

×

12

g

m

o

l

+

1

×

16

g

m

o

l

=

28

g

m

o

l

Calculating the number of moles:

n

=

m

M

=

36.55

g

28

g

m

o

l

=

1.305

m

o

l

Therefore, the are

1.305

moles in

36.55

grams of carbon monoxide

What is the sum of the two polynomials shown below?
(9x^3 - 6x^2) + (-5x^3 + 8)

Answers

-45x^6 +72x^3+30x^5 -42x2

Answer:

D

Explanation:

edge 2023

Which conclusions does this excerpt best support? select two options. calpurnia does not have children. mark antony will win first place in the race. calpurnia will bring antony good luck. antony does whatever caesar says. calpurnia will soon become ill and die.

Answers

Answer:

its 1 and 4

Explanation:

                       {}    {}
                           |

                      \____/

Julius Caesar is a masterpiece by William Shakespeare. It is a historical play which has event of mishaps. It is a scheme of murdering Julius Caesar plotted by Cassius and joined by Brutus.

Which curse of impotence affected Caesar?

In the play, Julius Caesar and his wife Calpurnia were not able to conceive a child. This curse of impotence affected Caesar. Caesar was thinking of becoming the king for that, he needed to have an heir and that to a son. So that his regime can be secured.

Mark Antony was a general and very good friend of Caesar. Antony believes that every word from Caesar is a fact. He agrees to whatever Caesar asks him to do. He even agreed to touch Calpurnia to cure the curse of impotence. This excerpt concludes that Caesar and his wife Calpurnia does not have children and Antony his ally does whatever Caesar asks him to do.

Therefore, Julius Caesar is a masterpiece by William Shakespeare. It is a historical play which has event of mishaps.

To learn more about Julius Caesar follow the given link:

brainly.com/question/24928625

#SPJ7

What is the maximum volume of water a hamster bath

Answers

Answer:

about to this mid chest

Explanation:

hope it helps

A person weighing 0. 70 kn rides in an elevator that has an upward acceleration of 1. 5 m/s2. What is the magnitude of the force of the elevator floor on the person?

Answers

The magnitude of the force of the elevator floor on the person is; 807.13 N

What is the Magnitude of force?

We are given;

Weight; W = 0.7 KN

Acceleration; a = 1.5 m/s²

There are only two forces acting on the person: which are his weight W (downward) and the normal force N of the floor against the body (upward). Thus the equilibrium equation here is;

N - W = F

N - W = ma

Here, m is the mass of body, and its value is calculated as;

W = mg

0.7 = 9.81m

m = 0.7/9.81

m = 71.42 kg

Thus;

N - 0.7 = 71.42 * 1.5

N = 0.7 + (71.42 * 1.5)

N = 807.13 N

Read more about Magnitude of Force at; https://brainly.com/question/9056570

In lines 12-13 ("misfit. . . System"), sentence fragments and a stanza break are used to

Answers

In lines 12-13 ("misfit. . . System"), sentence fragments and a stanza break are used to Reinforce those lines descriptions of the beloved relationship to space and time.

What is a sentence fragment?

A sentence fragment is known to be a combination  of words that are said to resemble a sentence, but they are not a complete sentence.

Sentence fragments are said to not have a subject or verb, or they do not make one to have a complete thought. It is used to Reinforce the lines descriptions of the beloved relationship to space and time in the passage.

Learn more about these lines from

https://brainly.com/question/26900609

A retail store has 10,000 square feet of space and incurs rent costs of $5,000 per month. if department a uses 2,000 square feet of space, the amount of rent allocated to the department will be $ .

Answers

The amount of rent allocated to the department A will be $1,000.

Given the following data:

Total space = 10,000 square feet.Rent costs = $5,000 per month.Department A space = 2,000 square feet.

How to calculate the amount of rents.

In this exercise, you're required to determine the amount of money that is being allocated to Department A. Thus, we would calculate the rent per square feet of space and then multiply by the amount of space used by Department A.

[tex]1 \;sq.\;ft. \;of\;space =\frac{Rental\;cost}{Total \;space} \\\\1 \;sq.\;ft. \;of\;space =\frac{5000}{10000}[/tex]

1 sq. ft. of space = $0.5 per square feet.

Department A = [tex]0.5 \times 2000[/tex]

Department A = $1,000.

Read more on rent cost here: https://brainly.com/question/14367570

A workstation is out of compliance with the group policy standards set by the domain

Answers

The command prompt that you would use to ensure all policies on the workstation are up to date is: gpupdate/force.

What is a workstation?

A workstation is also referred to as a computer system and it can be defined as an electronic device that is designed and developed to receive data in its raw form as an input and processes these data into an output (information) that could be used by an end user.

In Computer technology, a workstation could become out of compliance with the group policy standards that were set by the domain. As an administrator, gpupdate/force is a command prompt that you would use to ensure all policies on the workstation are up to date.

Read more on command prompt here: https://brainly.com/question/26097779

Intensified algebra 1 student activity book volume 2 answer key

Answers

Answer:

you can down the ans wers here belo

Which word best describes american society in 1922?

Answers

One of the words with which the beginning of the 1920s is associated is happiness because this period was very prosperous for the United States.

What were the roaring twenties?

The Roaring Twenties is a term used to refer to the period of economic prosperity in the early 1920s in some Western countries such as:

GermanyAustraliaCanadaFranceThe United StatesThe United Kingdom,

During this time there was an expansive period of the economy that benefited the whole of society and made the economy continue to grow at a rate that had not been recorded before, generating a speculative bubble.

According to the above, the word with which the beginning of the twenties can be associated is happiness.

Learn more about the roaring twenties in: https://brainly.com/question/365923

A shopkeeper had purchased 400 products for $40 each

Answers

Answer:

800

Explanation:

add 4+4=8 then put a two zero at the end will equal $800 dollars

Explain how you can use the knowledge of subject matter experts and your peers

Answers

Focus on how learners can use the information to achieve eLearning goals. ...????

7-2 additional practice similarity transformations

Answers

Similarity Transformation is known to be the mix up or the bringing together of one or multiple rigid motion and a dilation. It brings about  an image that is similar to pre-image.

What is a Similarity Transformation?

A similarity transformation is also known to be one or the use of multiple  rigid transformations such as reflection, rotation, translation and it is often accompanied by a dilation.

Note that if a figure is transformed using  a similarity transformation, an image is said to be made that looks exactly like the original figure

Learn more about transformations from

https://brainly.com/question/4289712

A married couple agreed to continue bearing a new child until they get two boys, but not more than 4 children. assuming that each time that a child is born, the probability that it is a boy is 0.5, independent from all other times. find the probability that the couple has at least two girls.

Answers

The probability that this couple has at least two girs is 0.5

This couple have an agreement to keep having children till they have two boys but they plan on not having more than 4 children.

Whenever they have a new child, there is a 0.5 chance that the baby is a boy.

The probability would be 1 - P'

P' = 0.5³ + 0.5³ + 0.5² = 0.5

1- 0.5 = 0.5

The probability that the couple has at least two girls is given as 0.5

What is probability?

This is a topic in mathematics and statistics that is used to refer to the chances of an event occuring.

Read more on probability here: https://brainly.com/question/2984220

Bias is most likely to appear in a news story when

Answers

When its political ………

John is standing on top of a 19.6-m tall bridge. off in a distance, he sees a boat approaching the bridge at constant speed. when the boat is 27 m from the bridge, john drops a stone. the stone hits the water 3 m in front of the boat.how fast is the boat traveling?

Answers

If  john drops a stone and the stone hits the water 3 m in front of the boat. The speed of the boat is: 12m/sec.

Speed

First step is to find the time

-19.6 m = -1/2 ×9.8 m/s² × t²

0 = -4.9t²  + 19.6

-19.6  = -4.9t²

t²=  19.6 / 4.9  

t  =√(19.6 / 4.9)

t=√4

t = 2 seconds

Second step is to calculate the speed using this formula

Speed=Distance/Time

Let plug in the formula

Speed=27 - 3/2

Speed=  24/2

Spee= 12m/sec

Inconclusion the speed of the boat is: 12m/sec.

Learn more about speed here:https://brainly.com/question/13407913

What is the function of each of these structures butterfly and bird wing

Answers

Answer:

Another function of butterfly wings is to trap heat and insulate the insect. The tiny scales on the wings absorb heat from the light, which regulates the insect's body temperature

These salts all dissolve in water. Which salt forms a basic solution?

Answers

Answer:

sodium acetate is disolve in all watef

What can be observed from this painting? select 3 options. It was created in june. It shows a night scene. It is a landscape view. It reveals the alpilles mountain range. It was painted with swirling brush strokes

Answers

Answer: b it shows a night scene c it is a landscape view e it was painted with swirling brush strokes

Explanation:

What can be seen from this painting (A Starry Night) is that:

It shows a night scene. It is a landscape view.It was painted with swirling brush strokes.

What is the Starry Night?

Starry Night is a term that is often used to show a state of shock, olive trees and mountains that were said to have acted as van Gogh's influence or catalyst.

Van Gogh in his work on the starry night shows the material actuality of his motifs  and also their symbolic dimensions.

Learn more about painting from

https://brainly.com/question/1504175

In context, the phrase "the cradle of civilization" in the eighth paragraph might best be interpreted to imply both

Answers

The phrase "the cradle of civilization" means  any particular point or area where civilization is said to  have independently started or emerged from.

What is the the cradle of civilization?

The cradle of civilization has been found to be in Mesopotamia. It is known as the region of modern day Iraq.

It is called the cradle of civilization as it was found to be the first place where complex urban centers was said to have emerged from.

Learn more about civilization from

https://brainly.com/question/13403112

Distinguish between conflict avoidance confrontation and resolution

Answers

Avoiding conflict, facing people and resolution?
Other Questions
What is most likely to occur if different plant species compete for the samerequirements in an ecosystem?a. One species will be eliminated from the ecosystem b. the species will develop different requirements c. the species will atler the eviroment so that both survived. one species will adapt to a different environment Why didn't the Declaration of Independence impact all of thepeople living in the colonies at the time? The vertex form of the function is Choose the equation that shows a step in the process of completing the square on the given quadratic. y = x2 + 8x 3 y = (x + 2 + RETRY y = x2 + 8x + 8-3-8 y = x2 + 8x + 8 3+ 8 y = x2 + 8x + 16 - 3-16 X y = x2 + 8x + 16 - 3 + 16 COMPLETE Juanita has a storage closet at her shop with extra bottles of lotion and shower gel. some are scented and some are unscented. if she reaches into the closet and grabs a bottle without looking, she has a 42% chance of grabbing a bottle of shower gel. for the events "shower gel" and "scented" to be independent, what must be shown to be true? p(lotion) = 42% p(scented) = 42% p(shower gel | scented) = 42% p(scented | shower gel) = 42% Never gonna give you upA, Never gonna let you downB. Never gonna run around and desert youC. Never gonna make you cryD. Never gonna say goodbyeE. Never gonna tell a lie and hurt you Divide the product of 5/7 and -13/25 by the sum of 4/15 and -7/50. 1.Which weather pattern can drop torrential amounts of rain, create storm surges, and destroy structures with high winds?droughttornadohurricanethunderstorm2.What is the main energy source for a hurricane?winds blowing from high pressure to low pressurewarm air massescool ocean waterwarm ocean water3.What makes the weather inside the eye of the storm calm and clear?high pressure airlow pressure airclockwise rotationcounterclockwise rotationI will mark brainliest.*These three questions are strictly for study. Underline the five verbs in this paragraph that do not agree with their subjects. Onthe lines below, write the numbers of the sentences in which you find agreementerrors. After each sentence number, write the subject and the verb for thatagrees with it.(1) Astronauts risk their lives working in space. (2) The word astronautcomes from the Greek language. (3) The Greek words means sailor amongthe stars. (4) Pilot astronauts command the spacecraft. (5) Mission specialistsconducts experiments. (6) All astronauts has been trained for weightlessness.(7) They experiences the near absence of gravity on large airplanes. (3) Forabout 30 seconds, they float weightlessly as the plane climbs and dives.(9) All the astronauts is asked to prove their physical and mental fitness.(10) For everyone who becomes an astronaut, the training process is a long one. PLEASE HELPVoyageurs were _________ explorers and traders who traveled by canoe.Native AmericanFrenchSpanishBritish in archery competition,Lisa hit 2 more than jenny.althogether they hit 82 . how many did Jenny hit ? LAKIUNUL1112.492.498.991ICE TEAICE TEACHICKEN, SANDRib SauceFrench FriesCHILI CHEESE DOGHomemade Coleslaw(NO BREAD)(< SEE SERVER>>)Sub Total6.49.69: 21.151. You need to pay 6% tax on your subtotal. How much willyou pay in tax?2. What is your new total?M How did Islam and Christianity spread into Africa ? 11. Elenamuy perezosa! Ella nunca trabaja. *nunca-12. EIun doctor bueno.13. Sr. Gomezde buen humor y est muy contento. 1. The product of 3 and a number increased by six is 24. Quincy's sticker company makes products to meet a particular customer's needs or wants. No two stickers are the same. This is an example of what is every secondary color A group of students collected old newspapers for a recycling project. The date shows the mass, in kilograms, of old newspapers collected by each student. What percent of students collected between 49 kilograms and 98 kilograms of newspapers? QUESTION 77/8Which of these is a statement of opinion?5A. Some states allowed women the right to vote even beforethe 19th Amendment was passed on August 18, 1920.B. The women who pcketed the White House weresometimes victims of violence carried out by those whoopposed them.C. The women who were arrested while picketing the WhiteHouse were absolutely right not to pay the fine required tostay out of jailD. Activists chose the eve of President Woodrow Wilson's 1913inauguration to stage the first national women's suffrageparade, Graph the system of equations.f(x)=x^25x+7 g(x)=2x+1Which statements are true about the solutions to the system of equations?Select each correct answer.The x-coordinate of a solution to the system of equations is 1.The y-coordinate of a solution to the system of equations is 3.The x-coordinate of a solution to the system of equation is 3.An ordered pair that is a solution to the system of equations lies on the y-axis.An ordered pair that is a solution to the system of equations lies in Quadrant III.Both ordered pairs that are solutions to the system of equations are in Quadrant I. soy aficionado al cine. *1 pointTEllaNosotrosYolEllos_____ son estrellas de muchas pelculas. (choose all that apply) *3 pointsnosotrosyolellasellatUdsellos_____ es un buen profesor.1 pointlellayotnosotrosellosUdsClear selection_____ eres admiradora de varios actores. *1 pointtellayolellasnosotrosellosUds._____ somos admiradores de ella. *1 pointtellosUd.yonosotrosUds._____ es muy simptica. (Choose all that apply) *2 pointsUd.ellostUds.ellasyolnosotrosella_____ son residentes de Brick. (Choose all that apply) *3 pointsUds.lellaUd.YoTellosellasThis is a required question_____ son amigas de Benito. (Choose all that apply) *2 pointsellosnosotrosellasUds.yoellaUd.t_____ eres un amigo muy bueno. *1 pointellosUds.Ud.tellayonosotroslT _____ de Brick. *1 pointeressoysomossonesYo _____ muy guapo. *1 pointeressomosessonsoyLa seora Garza _____ una profesora de lgebra. *1 pointsoysomosessoneresUds. _____ alumnos muy populares. *1 pointsomossoysoneresesPuerto Rico y Cuba _____ islas caribes. *1 pointessonsoyeressomosNosotros _____ altos y simpticos. *1 pointessoyeressonsomos