Answers
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)
Related Questions
how long did it take you to answer all of these questions
Answers
Answer:
not sure
Explanation:
not sure
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
Answers
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
Read more on https://brainly.com/question/14081661?referrer=searchResults
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
Answers
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.
Read more at; https://brainly.com/question/16971089
Answer:
Tech B
Explanation:
I took the test and got it right
why different types of
engines used gas turbine give reasons
Answers
Answer:
Four types of gas turbine engines are used to propel and power aircraft. They are the turbojet, turbofan, turboprop, and turboshaft.
Answer:
A gas turbine, also called a combustion turbine, is a type of continuous and internal combustion engine. The main elements common to all gas turbine engines are: ... Gas turbines are used to
Explanation:
why people act like that
Answers
Answer:
i dob't know
Explanation:
So, I act like I believe them.
In a shear cutting process, a sheet of soft cold-rolled steel has a thickness of 2 mm and a width of 1 m. The yield strength and the tensile strength is 175 MPa and 300 MPa, respectively. The clearance allowance value for the steel is 0.06. Determine the cutting force in N
Answers
effects of salinity water on alfalfa
Answers
Let be the step response of the LTI system of impulse response (meaning the output of this system when its input is the unit step sequence). What is the limit of when goes to
Answers
true/False
1.
Around 50 percent of all sales of farm commodities are from dairy
products.
Answers
Answer:true
Explanation:
It is true that around 50 percent of all sales of farm commodities are from dairy products.
What are dairy products?Dairy products or milk products, also known as lacticinia, are milk-based foods.
Cows, water buffalo, nanny goats, and ewes are the most common dairy animals. Dairy products include common grocery store foods such as yogurt, cheese, and butter in the Western world.
Milk, yogurt, cheese, lactose-free milk, and fortified soy milk and yogurt are all part of the Dairy Group. The Dairy Group excludes milk-based foods with low calcium and a high fat content. Cream cheese, sour cream, cream, and butter are all examples of this.
Dairy products account for roughly half of all farm commodity sales.
Thus, the given statement is true.
For more details regarding dairy products, visit:
https://brainly.com/question/1431669
#SPJ2
I want to know if anyone else know how to tell apart real leather from fake leather?!?!
Answers
Answer:
yes i do.
Explanation:
it's pretty easy in my opinion but i dont know about you why do you ask?
when the electrical connection to the alternator from the battery is not tight, it can cause?
Answers
Answer:
affects the flow of electricity
Explanation:
A loose battery terminal affects the flow of electricity. There is less power going to the electrical systems and the vehicle will not start or start sluggishly. Also, a loose battery terminal causes the car's electrical components like navigation, car lights, and audio among others to dim or fail completely.
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
Answers
ai lm dc bài tập môn cơ học vật liệu ko ạ
Answers
Answer:
What's that
Explanation:
Please brainlest me
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.
Answers
Answer:
fasdfsd
Explanation:
fsasdf
Explain mathematically whether the divergence of the curl of a vector field is
solenoidal or not?
Answers
Answer:
yes
Explanation:
Hierarchy of hazard control
Answers
Answer:
A system for controlling risk in the workspace.
Presents the relevant parameters to be kept in mind when using the following types of motors: 1. AC induction motor 2. BLDC motor 3. Synchronous motor
Answers
Answer:
Presents the relevant parameters to be kept in mind when using the following types of motors: 1. AC induction motor 2. BLDC motor 3. Synchronous motorn
Explanation:
sorry
Answer: Hepatitis A
Explanation:
nagdudulot ng pamamaga ng atay
To find the quotient of 8 divided by 1/3, multiply 8 by?
i need it asap but its should be 1 2 3 or 4 to answer
DONT GIVE ME LINKS ITS STUIPID JUST SAY A B C OR D
Answers
Answer: 8.33333333 or 6.1989778
Explanation:
How to calculate total photon flux incident on the photodiode
Answers
Answer:
Use this PDF file it should help you calculate total photon flux incident on the photodiode.
Explanation:
It's a file on lecture notes that help people learn about engineering and maybe in the lecture notes it might have information about how to calculate total photon flux incident on the photodiode
Do the coil resistances have any effect on the plots?
Answers
Fro example skin depth at 100 kHz is 0.206 mm (0.008”), a wire more thicker than AWG26 could be a waste of copper, better use a bunch of thin wire (Litz wire) to rise the Q factor.
why the power factor is Low in no load test in induction motor ?
Answers
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
Read more about induction motor
brainly.com/question/1049516
a storage tank contains liquid with a density of 0.0361 lbs per cubic inch. the height of liquid in the tank is 168 feet. what is the pressure of the liquid at the bottom of the tank give your answer in psi
Answers
Answer:
Objects that float on water have densities less than the density of water; those that do not float on water have densisties greater than the density of water:
Float on water: d < 0.0361 lb/in³ (where d denotes denisity)
Do not float on water: d > 0.0361 lb/in³
Explanation:
I don't know if this works for it or not?
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
Answers
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