A positively charged particle such as a cation cannot move easily into a cell because of the cell membrane's selective permeability. The cell membrane is composed of a phospholipid bilayer that has hydrophilic heads and hydrophobic tails.
These tails form a barrier that prevents charged particles from passing through the membrane. In addition, the membrane also has integral membrane proteins that act as channels or transporters. These proteins have specific binding sites and can only transport certain molecules or ions. Therefore, a positively charged particle cannot freely diffuse into the cell.
Furthermore, the cell membrane also has negatively charged molecules such as proteins and phospholipids that repel positively charged particles, making it more difficult for them to enter the cell. This selective permeability is crucial for maintaining the proper balance of ions and molecules inside and outside the cell.
The cell membrane regulates the movement of ions and molecules in and out of the cell, which is necessary for cellular functions such as nutrient uptake and waste removal.
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How does switching to sport mode using the drive mode selector switch in 2023 z’s equipped with automatic transmission change the performance of the vehicle?.
Explanation:
Why do calculations of recombination frequencies between loci that are far apart on chromosomes underestimate the true genetic distance between the loci?.
Switching to sport mode using the drive mode selector switch in 2023 z’s equipped with automatic transmission change the performance of the vehicle to make it fully automatic and driverless car.
What is automatic transmission?In a vehicle, a system which changes gears at various speeds without direct control by the driver.
For the US market, the 2023 Nissan Z is offered in Sport and Performance grades. This will have a 6-speed manual or new 9-speed automatic transmission.
Thus, Switching is easy to sport mode using the drive mode selector switch.
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No help dude that’s not even part of the question
Answer:
wat?
Explanation:
The question should be labeled in the psychology section, but what I assume the question means is some sort of paradoxical reverse psychology method of braincell loss. Even photosynthesis doesn't understand what it means. The question probably is what is the question, not that there's no help.
Hope this helps (a little)!
In this flow passage the velocity is varying with time. The velocity varies with time at section A-A as V = 5 m/s – 2.55- t/t _0 m/s 10 At time t = 0.50 s, it is known that at section A-A the velocity gradient in the s direction is +2 m/s per meter. Given that t, is to 0.5s and assuming quasi-one-dimensional flow, answer the fol- lowing questions for time 1 = 0.5 s. a. What is the local acceleration at A-A? b. What is the convective acceleration at A-A?
The local acceleration at A-A is -2.5 m/s² The velocity varies with time at section A-A as V = 5 m/s – 2.55- t/t_0 m/s 10Here, V = 5 - 2.55 t/t_0, t_0 = 0.5 s (Given)Let's find the velocity gradient in the s direction in order to calculate the local acceleration.
Given, the velocity gradient in the s direction is +2 m/s per meter. Thus, ∂v/∂s = 2 m/s/m = 2/s …(1)∂v/∂s = - (2.55/t_0) …(2)From equations (1) and (2), - (2.55/t_0) = 2/s⇒ t_0 = - 2 × s/2.55 …(3)Substituting the value of t_0 in equation (2),∂v/∂s = - (2.55/(-2s/2.55)) = 2 m/s/m We have the local acceleration as, a = - (∂v/∂s) = -2 m/s²b.
Convective acceleration can be found using the formula, a c = V dv/ds = V (∂v/∂s)Here, V = 5 - 2.55 t/t_0, t_0 = 0.5 s, and (∂v/∂s) = -2 m/s/mAt time t = 0.50 s, V = 5 - 2.55 × 0.5/0.5 = 2 m/s Also, we know that (∂v/∂s) = -2 m/s/m Thus, the convective acceleration can be calculated as,a_c = V (∂v/∂s)= 2 × (-2)= -4 m/s²We know that the direction of convective acceleration is negative.
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Virtual disks can use thin provisioning, which allocates all configured space on the physical storage device immediately. O True False
Virtual disks can use thin provisioning, which allocates all configured space on the physical storage device immediately. This statement is False.
Thin provisioning is a technique used in storage virtualization that allows virtual disks to be created with a defined capacity, but the actual physical storage space is only allocated as needed. This means that the virtual disk appears to have the full capacity allocated to it, but the physical storage is only used as data is written to the virtual disk.
This is in contrast to thick provisioning, where all of the physical storage is allocated upfront when the virtual disk is created, regardless of how much space is actually needed. Thick provisioning can result in wasted storage space and can make it more difficult to manage storage resources efficiently.
Therefore, the statement "Virtual disks can use thin provisioning, which allocates all configured space on the physical storage device immediately" is false.
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Vacancy diffusion statement refer to that a mechanism that
atom at lattice traveled to a vacant latblèe
• True
• False
Answer:
true
Explanation:
When the process is in control but does not meet specification which type of error is it?
When the process is in control but does not meet specification, it is referred to as a special cause error.
What is the term for a process in control but not meeting specification?In statistical process control, a process is considered to be in control when it operates within the defined limits and shows only random variations. However, when a process is in control but does not meet the desired specifications, it indicates the presence of a special cause error.
Special cause errors are attributed to specific factors or events that cause the process to deviate from the expected outcome. These errors are typically unpredictable and require investigation and corrective action to bring the process back within the desired specifications.
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Calculate the allowable bending moment for a solid rectangular 6-in.-by-16-in. timber beam if the allowable bending stress is 1000 psi. Assume that the large dimension is vertical and parallel to the applied loads.
(a) Use nominal dimensions.
(b) Use dressed dimensions.
The bending moments for the rectangular solid are:
a) M = 256,000 in-lb
b) M = 227,730 in-lb
How to calculate the allowable bending moment?a) To calculate the allowable bending moment for a solid rectangular timber beam, we can use the formula below:
M = (allowable stress)*(section modulus)
where M is the allowable bending moment and the section modulus is a measure of the beam's resistance to bending.
For a solid rectangular beam with nominal dimensions of 6 inches by 16 inches, the section modulus can be calculated as:
S = (b*h²) / 6
where b is the width of the beam and h is the height.
Substituting the values, we get:
S = (6*6²) / 6
S = 256 in³
Now, we can calculate the allowable bending moment as:
M = (allowable stress)*(section modulus)
M = 1000 psi*256 in³
M = 256,000 in-lb
Therefore, the allowable bending moment for the timber beam with nominal dimensions is 256,000 in-lb.
(b) For dressed dimensions, we need to adjust the section modulus calculation by subtracting the amount of wood that is removed during the dressing process. Assuming that the dressing process removes 1/8 inch from each side, the width and height of the dressed beam would be 5 3/4 inches and 15 1/2 inches, respectively.
Using these dimensions, the section modulus can be calculated exactly like above, but just with the different numbers:
S = (b*h²) / 6
S = (5.75*15.5²) / 6
S = 227.73 in³
Now replace that in the formula
M = 1000 psi x 227.73 in³
M = 227,730 in-lb
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Calculate the work done in lifting a 300N weight to a height of
1Omwith anacceleration of 0.5ms. Take g- 10ms
Note that ,the work done in lifting a 300 N weight to a height of 10 m with an acceleration of 0.5 m/s² is 3000 Joules.
How is this so?
To calculate the work done in lifting a 300 N weight to a height of 10 m, we need to use the formula -
Work = Force x Distance
In this case, the force is the weight being lifted, which is 300 N, and the distance is the height the weight is lifted, which is 10 m.
Work = 300 N x 10 m
= 3000 N·m
= 3000 J (Joules)
Therefore, the work done in lifting a 300 N weight to a height of 10 m with an acceleration of 0.5 m/s² is 3000 Joules.
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-0-1"
-0
-20
-15
-10
0
-5
75743366
Explanation:
Heat-absorbing glass was developed to block more of Solar Radiation than light. True False
For this activity, imagine you are participating in a town hall meeting about possible gene drive research. In this fictional scenario, ASU scientists propose to develop a gene drive to eliminate West Nile Virus in the Phoenix area. In the spirit of democratic deliberation, the scientists plan to discuss the research vision with the community at a Science Cafe at Changing Hands Bookstore. Select one of the meeting participants to play from the list below. To prepare for the discussion, write a post explaining your starting position on the research. Are you in favor? Have questions? Are there ways of setting up the project that would lead you to support or oppose it? Etc.Participants:
A Tempe city council member
A retiree who has recently moved to Arizona to be near kids
A stay-at-home parent with young children
A local hardware store employee
As a local hardware store employee, I have concerns about the long-term consequences and risks of a gene drive for eliminating West Nile Virus.
Participant: A local hardware store employee
Post:
As a local hardware store employee, I have a vested interest in the well-being of the Phoenix community. I understand that the scientists from ASU are proposing the development of a gene drive to eliminate West Nile Virus in our area, and I believe it's crucial to have an open discussion about this research vision.
Firstly, I want to emphasize that I am not an expert in genetics or public health. However, I do have concerns and questions regarding the potential implementation of a gene drive for such a purpose.
My main concern revolves around the long-term consequences and potential risks associated with altering the genetic makeup of organisms, even if it is for a positive outcome like eliminating West Nile Virus. While the eradication of this disease is undoubtedly a worthy goal, we must ensure that the benefits outweigh any unintended negative effects.
Before I can fully support or oppose this research, I would like to better understand the safeguards that would be put in place to prevent any unintended ecological disruptions. What are the contingency plans if the gene drive were to have unintended consequences on non-target species? Are there measures in place to address potential resistance to the gene drive in the West Nile Virus-carrying mosquitoes? These are critical questions that must be answered to assess the feasibility and safety of this project.
Additionally, it would be crucial to involve a diverse range of stakeholders in the decision-making process. Engaging with experts in genetics, public health officials, and environmentalists, along with community members, will help ensure that all perspectives are taken into account. Transparency and inclusivity are key to fostering trust and ensuring that the decision ultimately made serves the best interests of our community.
In conclusion, while I recognize the importance of addressing the issue of West Nile Virus, I approach the proposal for a gene drive with caution. My starting position is one of skepticism and the need for further information. I believe a comprehensive risk assessment, robust stakeholder engagement, and a thorough examination of potential unintended consequences are necessary before making a final determination on supporting or opposing the project.
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_____ The SRY gene is an example of a homeotic gene.
_____ A replicated chromosome is made up of one chromatid.
_____ Histones are proteins that wrap around DNA strands
_____ M-RNA is the same as DNA except for its shape
_____ Introns are discarded before translation
_____ Monozygotic twins are formed by one egg and one sperm
_____ Epigenetics is the study of how mutations effect traits
_____ Using recombinant DNA technology we can completely cure a person of a genetic disease
_____ A substitution mutation causes a frame shift
_____ Down’s Syndrome is an example of aneuploidy
False. The SRY gene is not an example of a homeotic gene. It is a sex-determining gene.
True. A replicated chromosome is made up of two sister chromatids.
True. Histones are proteins that wrap around DNA strands to form nucleosomes.
False. mRNA (messenger RNA) is different from DNA in both its composition and function.
True. Introns are non-coding regions of DNA that are removed during mRNA processing before translation.
False. Monozygotic twins are formed from a single fertilized egg, which splits into two embryos.
False. Epigenetics is the study of heritable changes in gene expression that do not involve changes to the underlying DNA sequence.
False. While recombinant DNA technology has provided significant advancements in treating genetic diseases, it does not guarantee a complete cure.
False. A substitution mutation does not cause a frame shift. It involves the replacement of one nucleotide with another.
True. Down's Syndrome is caused by aneuploidy, specifically an extra copy of chromosome 21.
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Generally, the primary source of all water supply is said to be
When framing a wall, temporary bracing is
used to support, plumb, and straighten the wall.
used to support, level, and straighten the wall.
used to square the wall before it is erected.
removed before the next level is constructed.
write $\frac 15 \left(\frac 15\right)^2 \left(\frac 15\right)^3 \left(\frac 15\right)^4$ as a decimal.
In order to write the given expression as a decimal, we can simplify the expression and then evaluate it.
The given expression can be simplified as follows:$$
\begin{aligned}
\(\frac 15 \left(\frac 15\right)^2 \left(\frac 15\right)^3 \left(\frac 15\right)^4 &= \frac{1}{5^1} \cdot \frac{1}{5^2} \cdot \frac{1}{5^3} \cdot \frac{1}{5^4}\\\)
\(&= \frac{1}{5^{1+2+3+4}}\\\)
\(&= \frac{1}{5^{1+2+3+4}}\\\)
\(&= \frac{1}{9,765,625}\)
\end{aligned}
$$Now, we can evaluate the given expression by dividing 1 by 9,765,625 as follows:$$
\begin{aligned}
\(\frac{1}{9,765,625} &= \frac{1}{10,000,000 - 234,375}\\\)
\(&= 0.\overline{000}1\\&= 1 \cdot 10^{-7}\)
\(\end{aligned}$$Therefore, $\frac 15 \left(\frac 15\right)^2 \left(\frac 15\right)^3 \left(\frac 15\right)^4$ as a decimal is $1 \cdot 10^{-7}$\), which means that the decimal is a very small number.
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We consider three different hash functions which produce outputs of lengths 64, 128 and 160 bit. After how many random inputs do we have a probability of ε = 0. 5 for a collision? After how many random inputs do we have a probability of ε = 0. 1 for a collision?
For ε = 0.1, approximately 2.147 random inputs are needed for a collision. The number of inputs required for the hash functions producing outputs of lengths 128 and 160 bits using the same formula.
To determine the number of random inputs needed to achieve a specific probability of collision, we can use the birthday paradox principle. The birthday paradox states that in a group of people, the probability of two individuals having the same birthday is higher than expected due to the large number of possible pairs.
The formula to calculate the approximate number of inputs required for a given probability of collision (ε) is:
n ≈ √(2 * log(1/(1 - ε)))
Let's calculate the number of inputs needed for ε = 0.5 and ε = 0.1 for each hash function:
For a hash function producing a 64-bit output:
n ≈ √(2 * log(1/(1 - 0.5)))
n ≈ √(2 * log(2))
n ≈ √(2 * 0.693)
n ≈ √(1.386)
n ≈ 1.177
For ε = 0.5, approximately 1.177 random inputs are required to have a probability of collision.
For ε = 0.1:
n ≈ √(2 * log(1/(1 - 0.1)))
n ≈ √(2 * log(10))
n ≈ √(2 * 2.303)
n ≈ √(4.606)
n ≈ 2.147
For ε = 0.1, approximately 2.147 random inputs are needed for a collision.
Similarly, we can calculate the number of inputs required for the hash functions producing outputs of lengths 128 and 160 bits using the same formula.
Please note that these calculations provide approximate values based on the birthday paradox principle. The actual probability of collision may vary depending on the specific characteristics of the hash functions and the nature of the inputs.
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Andrew invests £2500 in an account for 4 years at 2. 4% compound interest per year.
At the end of the 4 years, a deduction of 30% of the total interest is made from the account. Work out the amount in the account at the end of the 4 years, after the deduction has been made
The amount in the account at the end of 4 years, after the deduction has been made, is £2668.
To calculate the amount in the account at the end of 4 years after the deduction, we need to consider compound interest and the deduction. Using the compound interest formula A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years, we can calculate the total amount after 4 years. Then, we apply the deduction of 30% to the total interest earned. However, the specific values for the interest rate compounding frequency and the calculation of the deduction need to be provided to calculate the final amount accurately.
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if a low frequency i-f gives good adjacent channel separation and a high i-f gives good image rejection how can we get good responses in both parameters
To achieve good responses in both adjacent channel separation and image rejection in an intermediate frequency (IF) system, a compromise must be made by selecting an appropriate intermediate frequency.
The selection of an intermediate frequency involves a trade-off between adjacent channel separation and image rejection. Here's how it works:
Adjacent Channel Separation: Low IFs (such as 455 kHz) provide good adjacent channel separation. This means that the receiver can effectively separate and reject signals from neighboring frequency channels, reducing interference. A low IF allows for better selectivity and filtering of desired signals.
Image Rejection: High IFs (such as 10.7 MHz) provide good image rejection. Image rejection refers to the ability of the receiver to reject unwanted signals that are mirrored or reflected around the local oscillator frequency. A high IF allows for better rejection of these mirrored signals, reducing the presence of unwanted images.
To strike a balance between adjacent channel separation and image rejection, a compromise IF frequency can be chosen, typically in the moderate range (e.g., 1-5 MHz). This allows for a reasonable level of both adjacent channel separation and image rejection.
By carefully designing and optimizing the receiver's selectivity, filtering, and mixing stages, it is possible to achieve satisfactory performance in both parameters even with a compromise IF frequency. This involves using appropriate filters, amplifiers, and signal processing techniques to enhance the desired signal while minimizing interference and image responses.
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Technician A says force on the brake pedal is transmitted directly to the wheels by linkage. Technician B says pedal force is transmitted by hydraulic pressure generated in the master cylinder. Who is correct
Given sentence'' Technician B says pedal force is transmitted by hydraulic pressure generated in the master cylinder'' is correct. Technician B is correct.
Technician B is correct. The brake pedal is connected to the master cylinder through a hydraulic system, which transmits the force generated by the pedal to the brake calipers or drums. A technician is a skilled employee who repairs, installs, replaces, and services various types of equipment and systems. Each day, a technician spends time tackling different tasks, depending on the issue, such as analyzing problems, running tests, and repairing equipment. The force on the pedal creates pressure in the master cylinder, which in turn activates the brakes through the hydraulic lines. There is no direct mechanical linkage between the brake pedal and the wheels in modern vehicles.
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Whose responsibility is it to provide direction on correct ladder usage?
select the best option.
Answer:
it is the employers responsibility to provide direction on Correct ladder usage.
Question
А
Particle of 2kg mass is being pulled across a smooth horizontal
surface by a horizontal force. The force does 24 Joule of work in
increasing
the particle's
velocity from 5m/s
to v m/s. calculate
the value of v and the position of particle
after 15s
Answer:
udhddhdiejebdidjebdhdidh
When rolling two dice, the probability of rolling doubles is 1/6. Suppose that a game player rolls the dice five times, hoping to roll doubles. What is the probability the player gets doubles less than three times in 5 attempts?
The probability that the player gets doubles less than three times in 5 attempts is; 0.9645.
How to solve Binomial Probability?
The formula for binomial probability distribution is;
P(X = x) = ⁿCₓ × pˣ × (1 - p)⁽ⁿ ⁻ ˣ⁾
where;
x = total number of successes
p = probability of a success on an individual trial
n = number of trials
We are given;
x = 3
p = 1/6 = 0.1667
n = 5
Thus;
P(X < 3) = (⁵C₂ * 0.1667 * (1 - 0.1667)⁽⁵ ⁻ ²⁾) + (⁵C₁ * 0.1667 * (1 - 0.1667)⁽⁵ ⁻ ¹⁾) + (⁵C₀ * 0.1667 * (1 - 0.1667)⁽⁵ ⁻ ⁰⁾)
Thus;
P(X < 3) = 0.9645
Thus, the probability that the player gets doubles less than three times in 5 attempts is 0.9645.
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What is defining feature of the meta verse?
The defining feature of the Metaverse is that it is Virtual. This is its a most distinctive feature. See further details below.
What more do we know about the Metaverse?The Metaverse does not compete with the internet; rather, it expands upon it.
Users navigate a virtual environment that duplicates features of the actual world utilizing technologies such as virtual reality (VR), augmented reality, artificial intelligence (AI), social media, and digital money in the metaverse.
Metaverse features include digital avatars, remote working, developing decentralization, hardware, encryption, and many more.
Similarly, virtual places like Zoom only allow for a single conversation. Participants at physical events can transition seamlessly from one talk to the next. Some colleges are utilizing metaverse technology to bypass internet and video meeting tool constraints.
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A plate is supported by a ball-and-socket joint at A, a roller joint at B, and a cable at C. How many unknown support reactions are there in this problem?
Answer:
There are five (5) unknown support reactions in this problem.
Explanation:
A roller joint rotates and translates along the surface on which the roller rests. The resulting reaction force is always a single force that is perpendicular to, and away from, the surface. This allows the roller to move in a single plane along the surface where it rests.
A cable support provides support in one direction, parallel, and in opposite direction to the load on it. There exists a single reaction from the cable pointed upwards.
A ball-and-socket joint have reaction forces in all 3 cardinal directions. This allows it to move in the x-y-z plane.
The total unknown reactions on the member are five in number.
A router used for wireless Internet access follows the 802.11g standard, which operates at 2.4 GHz.
Part A
What is the wavelength of the electromagnetic waves emitted by the router?
Part B
How tall would a dipole antenna need to be?
Part C
Is the length from the previous part comparable to the length of any router antennas you've seen?
The wavelength of electromagnetic waves is given by the formula λ = c/f, where λ is wavelength, c is the speed of light, and f is frequency. The frequency of the router is 2.4 GHz, or 2.4 x 10^9 Hz.
Part A: The wavelength of electromagnetic waves emitted by the router is 0.125 meters or 12.5 centimeters, calculated using λ = c/f.
Part B: A dipole antenna for a router operating at 2.4 GHz would be approximately 6.25 centimeters, which is half the wavelength of the electromagnetic waves.
Part C: The length calculated in Part B is comparable to the length of some router antennas, which are typically 6 to 8 centimeters, but the actual length and design can vary depending on the specific model and manufacturer.
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State three types of maintenance.
Answer:
Tradicionalmente, se han distinguido 5 tipos de mantenimiento, que se diferencian entre sí por el carácter de las tareas que incluyen:
Explanation:
Mantenimiento Correctivo: Es el conjunto de tareas destinadas a corregir los defectos que se van presentando en los distintos equipos y que son comunicados al departamento de mantenimiento por los usuarios de los mismos.
Mantenimiento Preventivo: Es el mantenimiento que tiene por misión mantener un nivel de servicio determinado en los equipos, programando las intervencions de sus puntos vulnerables en el momento más oportuno. Suele tener un carácter sistemático, es decir, se interviene aunque el equipo no haya dado ningún síntoma de tener un problema.
Mantenimiento Predictivo: Es el que persigue conocer e informar permanentemente del estado y operatividad de las instalaciones mediante el conocimiento de los valores de determinadas variables, representativas de tal estado y operatividad. Para aplicar este mantenimiento, es necesario identificar variables físicas (temperatura, vibración, consumo de energía, etc.) cuya variación sea indicativa de problemas que puedan estar apareciendo en el equipo. Es el tipo de mantenimiento más tecnológico, pues requiere de medios técnicos avanzados, y en ocasiones, de fuertes conocimientos matemáticos, físicos y/o técnicos.
Mantenimiento Cero Horas (Overhaul): Es el conjunto de tareas cuyo objetivo es revisar los equipos a intervalos programados bien antes de que aparezca ningún fallo, bien cuando la fiabilidad del equipo ha disminuido apreciablemente de manera que resulta arriesgado hacer previsiones sobre su capacidad productiva. Dicha revisión consiste en dejar el equipo a Cero horas de funcionamiento, es decir, como si el equipo fuera nuevo. En estas revisiones se sustituyen o se reparan todos los elementos sometidos a desgaste. Se pretende asegurar, con gran probabilidad un tiempo de buen funcionamiento fijado de antemano.
Mantenimiento En Uso: es el mantenimiento básico de un equipo realizado por los usuarios del mismo. Consiste en una serie de tareas elementales (tomas de datos, inspecciones visuales, limpieza, lubricación, reapriete de tornillos) para las que no es necesario una gran formación, sino tal solo un entrenamiento breve. Este tipo de mantenimiento es la base del TPM (Total Productive Maintenance, Mantenimiento Productivo Total).
Two ways of sawing logs are?
Answer:
Plain Sawn. At least 95 percent of all hardwood lumber commercially produced in the U.S. is flat or plain sawn. ...
Quarter Sawn. In this method, the log actually is cut into quarters, then sawn quarter by quarter. ...
Explanation:
A weld symbol below the reference line signifies a weld on the "ARROW" side of the joint.
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 ...
\(\displaystyle c_x=\frac{a_x}{a}=\frac{\int{x\cdot dA}}{\int{dA}}\\\\a_x=\int_0^{12}{x(k_2^{-1/2}\cdot x^{1/2}-k_1x^3)}\,dx=\frac{2}{5k_2^{1/2}}\cdot12^{5/2}-\frac{k_1}{5}12^5\\\\a=\int_0^{12}{(k_2^{-1/2}\cdot x^{1/2}-k_1x^3)}\,dx=\frac{2}{3k_2^{1/2}}\cdot12^{3/2}-\frac{k_1}{4}12^4\\\)
For k1 = 4/12^3 and k2=12/4^2, these evaluate to ...
\(a_x=115.2\\a=20\\c_x=5.76\)
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 ...
\(\displaystyle c_y=\frac{a_y}{a}\\\\a_y=\int_0^{12}{(\frac{y_2+y_1}{2}(y_2-y_1))}\,dx=\frac{1}{2}\int_0^{12}{(\frac{x}{k_2}-(k_1x^3)^2)}\,dx\\\\a_y=\frac{12^2}{4k_2}-\frac{k_1^212^7}{14}=\frac{240}{7}\\\\c_y=\frac{12}{7}\approx1.7143\)
The centroid of the shaded area is ...
(x, y) = (5.76, 1 5/7)
Which is an appropriate type of face and eye protection for resistance welding?
Answer:
While resistance welding you should wear clear grinding glasses, unbreakable plastic face shields or clear unbreakable plastic goggles. When resistance welding a #10, or more, shade lens should be worn. All hand and portable tools should be inspected for loose parts, cleanliness, or worn power cords.