locate the centroid of the shaded area between the two curves
9514 1404 393
Answer:
(x, y) = (5.76, 1 5/7)
Explanation:
The location of the centroid in the x-direction is the ratio of the first moment of area about the y-axis to the total area. Similarly, the y-coordinate of the centroid is the first moment of area about the x-axis, divided by the area.
For the moment about the y-axis, we can define a differential of area as ...
dA = (y2 -y1)dx
where y2 = √(x/k2) and y1 = k1·x^3
The distance of that area from the y-axis is simply x.
So, the x-coordinate of the centroid is ...
[tex]\displaystyle c_x=\frac{a_x}{a}=\frac{\int{x\cdot dA}}{\int{dA}}\\\\a_x=\int_0^{12}{x(k_2^{-1/2}\cdot x^{1/2}-k_1x^3)}\,dx=\frac{2}{5k_2^{1/2}}\cdot12^{5/2}-\frac{k_1}{5}12^5\\\\a=\int_0^{12}{(k_2^{-1/2}\cdot x^{1/2}-k_1x^3)}\,dx=\frac{2}{3k_2^{1/2}}\cdot12^{3/2}-\frac{k_1}{4}12^4\\[/tex]
For k1 = 4/12^3 and k2=12/4^2, these evaluate to ...
[tex]a_x=115.2\\a=20\\c_x=5.76[/tex]
The y-coordinate of the centroid requires we find the distance of the differential of area from the x-axis. We can use (y2 +y1)/2 for that purpose. Then the y-coordinate is ...
[tex]\displaystyle c_y=\frac{a_y}{a}\\\\a_y=\int_0^{12}{(\frac{y_2+y_1}{2}(y_2-y_1))}\,dx=\frac{1}{2}\int_0^{12}{(\frac{x}{k_2}-(k_1x^3)^2)}\,dx\\\\a_y=\frac{12^2}{4k_2}-\frac{k_1^212^7}{14}=\frac{240}{7}\\\\c_y=\frac{12}{7}\approx1.7143[/tex]
The centroid of the shaded area is ...
(x, y) = (5.76, 1 5/7)
Fire properties of the glass? |
Answer:
Ordinary window glass cannot withstand the high temperatures associated with a structure fire, and it will break and fall out of its frame at about 250° F, only a few minutes into a fire. On the other hand, glass that is classified as "fire-rated" for at least 60 minutes can tolerate heat in excess of 1600° F
In the engineering design and prototyping process, what is the advantage of drawings and symbols over written descriptions?
The advantages that can be associated to
drawings and symbols over written descriptions in engineering design and prototyping process are;
Communicate design ideas as well as technical information to engineers.
Symbols and drawings can be universal which means it is easy to interpret any where by professionals.
An engineering drawing serves as complex dimensional object and symbol use by engineer to communicate.Drawings and symbols makes it easier to communicate design ideas and technical information to engineers and and how the process will go.Therefore, drawings and symbols is universal to all engineer unlike written one.
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If the water surface elevation in reservoir B is 110 m, what must be the water surface elevation in reservoir A if a flow of 0.03 m3 /s is to occur in the cast iron pipe
The water surface elevation must be 110.2631 meters for a flow of 0.03m³ to occur in the cast pipe
For cast iron the chart has 0.0012 from Moody's chart
0.016 for cast iron
[tex]hf = \frac{flQ^{2}}{12.1d5}[/tex]
[tex]h1 = h2+\frac{Q^{2} }{12.1} [\frac{0.0012*100}{(12/1000)^5} +\frac{0.0016*150}{(15/100)^5} ][/tex]
[tex]h1 = 110m+\frac{0.03^2}{12.1} [\f\frac{0.12}{0.00032} +\frac{0.24}{0.000759} ]\\\\h1 = 110+0.0000744[375+3162.06]\\\\= 110 + 0.2631m\\\\= 110.2631m[/tex]
Therefore the water surface elevation must be 110.2631 meters for a flow of 0.03m³ to occur in the cast pipe
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How much work, in Newtons, is required to lift a 20.4-kg (45lb) plate from the ground to a stand that is 1.50 meters up?
ASAP PLS
Answer:
Explanation:
Work, U, is equal to the force times the distance:
U = F · r
Force needed to lift the weight, is equal to the weight: F = W = m · g
so:
U = m · g · r
= 20.4kg · 9.81 [tex]\frac{N}{kg}[/tex] · 1.50m
= 35.316 [tex]\frac{N}{m}[/tex]
= 35.316 W
Describe three differences between liquids and gases in fluid power systems.
Answer:
Liquids have less force of attraction between molecules than solids and more than gases; gases have a very weak force of attraction between the molecules which is the least amongst the three states of matter.
Explanation:
Do the coil resistances have any effect on the plots?
The Web and Digital Communications pathway is broken down into four main categories of technology. Which category BEST describes Aaden's use of digital communication technology in the following example?
Aaden has created an advertisement that he plans to post on his website and various social media sites to promote his ski shop.
A.
Education
B.
Entertainment
C.
Information
D.
Marketing
effects of salinity water on alfalfa
Consider an FSM with 1024 states and a 2-bit input (00, 01, 10, 11). How many flip-flops will you need to construct the FSM
Answer:
468
Explanation:
Determine the initial void ratio, the relative density and the unit weight (in pounds per cubic foot) of the specimens for each sand.
The initial void ratio is the parameter which is used to show the structural foundations for each specimen of sand so that the method and speed of compression would be measured.
Relative density is the mass per unit volume of each specimen of sand which is measured and it has to do with the relative ratio of the density of the sand.
Unit weight is the the exact weight per cubic foot of the sand which is measured.
Please note that your question is incomplete so I gave you a general overview to help you better understand the concept
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What is one of the reasons to consider implementing a blockchain solution?
Blockchain is often used often in the verification and locating of multistep transactions. One of the reasons to consider implementing a blockchain solution is the ability to work on different versions of the same data.
Blockchain solution is known to keep transactions safe, limit compliance costs, and speed up data transfer processing. It is known to back up the accuracy of the data.In Blockchain, all node can see all transactions that are taking place in the system and all will get a copy of each of them to update its data and approve it.
See full question below
What is one of the reasons to consider implementing a blockchain solution?
Options:
1.inability to track simultaneous updates by multiple users
2. ability to work on different versions of the same data
3.ability to verify that data has not been tampered with since its creation
4.inability to trace and access data of other users
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Beyond providing a visual representation of an object for the creator, what are the advantages of using CAD software to create 3D digital models of engineering prototypes (compared to physical drawings)? Identify at least two advantages.
Answer:
fasdfsd
Explanation:
fsasdf
Hierarchy of hazard control
Answer:
A system for controlling risk in the workspace.
why people act like that
Answer:
i dob't know
Explanation:
An Infrastructure as a Service (IaaS) provider shares its computing resources between a number of different clients, each of whom has a separate dedicated instance to host their own operating systems and applications.
Which Cloud computing concept is illustrated here?
Answer:
Elasticity
Explanation:
Cloud computing comprises of three (3) service models and these are;
1. Platform as a Service (PaaS).
2. Software as a Service (SaaS).
3. Infrastructure as a Service (IaaS).
I want to know if anyone else know how to tell apart real leather from fake leather?!?!
Answer:
yes i do.
Explanation:
it's pretty easy in my opinion but i dont know about you why do you ask?
Dilute countercurrent immiscible extraction
A feed of 100.0 kg/min of a 1.2 wt % mixture of acetic acid in water is to be extracted with 1-butanol at 1 atm pressure and 26.7°C, we desire an outlet concentration of 0.1 wt % acetic acid in the exiting water. We have available solvent stream 1 that is 44.0 kg/min of pure 1-butanol and solvent stream 2 that is 30.0 kg/min of 1-butanol that contains 0.4 wt % acetic acid. Devise a scheme to do this separation, find the outlet flow rate and concentration of the exiting 1-butanol phase, and find the number of equilibrium contacts needed.
In Example we assumed that we were going to use all of the solvent available. There are other alternatives. Determine if the following alternatives are capable of producing outlet water of the desired acetic acid concentration.
a. Use only the pure solvent at the bottom of the extractor.
b. Mix all of the pure and all of the impure solvent together and use them at the bottom of the column.
c. Mix all of the pure and part of the impure solvent together and use them at the bottom of the column.
Explain mathematically whether the divergence of the curl of a vector field is
solenoidal or not?
Answer:
yes
Explanation:
Can I have free money? I want to get a new pc
Answer:
NO!
Explanation:
Tech A says that the stoichiometric ratio is 14.7 gallons of air to 1 gallon of fuel. Tech B says it is 14.7 lb of air to 1 lb of fuel. Who is correct
The person that is correct as regards statement made about stoichiometric ratio is; Tech B
In air-fuel mixture, when there is a mix air and fuel in the ideal amounts to make an engine to run efficiently,the ideal ratio of air to fuel is known Stoichiometric ratio.
This stoichiometric ratio is the comparison between the weight of the air relative to the weight of the fuel that it has been mixed with.
Now, weight is in lb and as such, tech B is correct because his ratio is 14.7lb to 1 lb.
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Answer:
Tech B
Explanation:
I took the test and got it right
why the power factor is Low in no load test in induction motor ?
The reason for low power factor in no load test in induction motor is high rotor reactance at lower loading since the rotor reactance value gets decreased with increased loading on induction motor
Usually at no load, the Cosine of the phase angle between the stator current(I1) and the stator applied voltage(V1) is the power factor of an induction motor.
In conclusion, the reason for low power factor in no load test in induction motor is high rotor reactance at lower loading since the rotor reactance value gets decreased with increased loading on induction motor
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Should you recommend changing fluids based on the color or smell of the fluid?
Only if the color is brown and the fluid smells burned
Yes, always.
No. Stick with the manufacturer's recommendations.
Only if the fluid is red and smells sweet
Answer:
hi
Explanation:
Should you recommend changing fluids based on the color or smell of the fluid?
Only if the color is brown and the fluid smells burned
Yes, always.
No. Stick with the manufacturer's recommendations.
Only if the fluid is red and smells sweet
ai lm dc bài tập môn cơ học vật liệu ko ạ
Answer:
What's that
Explanation:
Please brainlest me
-. Which format is correct for entering dimensions in an architectural drawing?
a
50 12"
b. 4'212"
C.
4' 2.5"
d.
50.5"
Answer:
d.
50.5" is the answer for this question
what is the relationship between the voltages of the output and adjust pins of LM1117 when in normal operation
Based on the engineering analysis, the relationship between the voltages of the output and adjust pins of LM1117 when in normal operation is "the LM1117 adjustable version establishes a 1.25V reference voltage, (VREF) between the output and the adjust terminal."
The LM1117 generally has a 1.2V at 800mA of load current.
The LM1117 is known to be a progression of low dropout linear voltage regulators. It is adjustable and be assigned between the output voltage of 1.25 to 13.8 V using just two external resistors.
Hence, in this case, it is concluded that the correct answer is "the LM1117 adjustable version establishes a 1.25V reference voltage, (VREF), between the output and the adjust terminal.
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1 . How are encoders used in the measurement of speed? Explain the encoder with a neat diagram.
The most common use for encoders is to measure angular or linear distance, but encoders can also be used to perform speed or velocity measurements. In other words, as the encoder rotates faster, the pulse frequency increases at the same rate
A length of pipe will weigh the most when
Answer:
Mark me please as brainliest
Explanation:
A length of pipe will weigh the most when O A. part dimensions are such that the pipe is in the MMC. O B. the OD and ID are at the minimum allowable limit. OC. the OD and ID are at the maximum allowable limit. OD.part dimensions are such that the pipe is in the LMC
Answer:
Part dimensions are such that the pipe is in the MMC.
Explanation:
The first three terms of a geometric series are 15,7.5 and 3.75. find the representation of the n th term of tge sequence
Answer:
30 1/2
Explanation:
You work for REV, Incorporated, and check your work email on your mobile phone. According to these documents, if you cannot find your phone, what should you do first?
Answer:
In case whereby you work for rev and check your work email on your mobile phone and You have decided to resign your job and take a position with a different company. Regarding rdm on your mobile phone, you should B. Take your phone to IT Services, and they will wipe it clean.
What is expected to do when leaving the company?
It is expected from you to return anything that belong to the company before leaving the company, but in the case whereby there is still a rdm on your mobile phone, then you can work to the IT services so they can wipe it away.
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Missing options:
A. Turn your phone to IT Services
B. Take your phone to IT Services, and they will wipe it clean
C. Download RDM to your personal computer
D. Call IT Services for support, and they will assist
E. Nothing. IT Services will automatically remove all data