Problem 6. Rods AC and BC are used to suspend the 200-kg mass. If each rod is made of a material for which the average normal stress can not exceed 150 MPa, determine the minimum required diameter of each rod to the nearest mm

Answers

Answer 1

The minimum required diameter should be 5 mm for each rod.

What is stress?

In physics, stress describes the force acting on a material's unit area. A specific body can become deformed under stress. Strain is the term for the impact that stress has on the body. To restore an object to its original form and size, an opposing force known as a restoring force is produced inside the object. The symbol "σ" stands for stress, which is a tangible quantity. N/m2 is the stress unit in the SI system.

Strength is an object's capacity to withstand the applied stress to the fullest extent possible. Physics distinguishes between two types of stress: Tangential or Shearing Stress and Normal Stress based on the direction of the deforming forces that act on a body.

πd²[tex]_{min}[/tex]/4  = 1962/150

d[tex]_{min}[/tex] = [tex]$ \sqrt{\frac{4 \times 1962}{\Pi \times 150} }[/tex]

d[tex]_{min}[/tex] = 4.081

As, 4 < 4.081 < 5,

The minimum required diameter should be 5 mm for each rod.

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Related Questions

A 6-cm-diameter horizontal water jet having a velocity of 25 m/s strikes a vertical stationary
flat plate. The water splatters in all directions in the plane of the plate. ANALYZE the linear
momentum equation for a fixed control volume to find; the amount of force required to hold
the plate against the water stream? Take the density of water to be 1000 kg/m3

Answers

To find the force required to hold the plate against the water stream, we can use the linear momentum equation for a fixed control volume. The linear momentum equation states that the rate of change of momentum within the control volume is equal to the net force acting on the control volume.

In this case, the control volume is the plate and the water jet is the system that is interacting with the plate. The density of water is given as 1000 kg/m3. The velocity of the water jet is 25 m/s and the diameter of the jet is 6 cm, which is equivalent to 0.06 m. The mass flow rate of the water jet can be calculated as follows:

Mass flow rate = Density * Velocity * Area
= 1000 kg/m^3 * 25 m/s * (3.14 * (0.06/2)^2)
= 0.11 kg/s

The momentum of the water jet is equal to the mass flow rate multiplied by the velocity of the jet. The force required to hold the plate against the water stream is equal to the rate of change of momentum of the jet.

Force = Rate of change of momentum
= Mass flow rate * Velocity
= 0.11 kg/s * 25 m/s
= 2.75 N

Before you can take a lesson exam, you must:
A. Complete all required laboratory exercises.
OB. Listen to all of the audio in the lesson.
C. Review all materials in the course Library.
D. None of these.

Answers

You must listen to all of the lesson's audio before you can take the exam. This is the appropriate assertion.

What purpose does a laboratory exercise serve?

Students will be able to build deeper and longer lasting knowledge and a deeper comprehension of the scientific method through carefully planned laboratory exercises that emphasize inquiry-based or problem-based learning with attention to active learning under appropriate supervision.

What advantages does audio learning offer?

Supporters of this method of learning assert that learning by ear enables one to be adaptable when carrying out a variety of jobs. This is due to the fact that information can be processed without the need of hands or eyes by simply listening to audio recordings.

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In a single-family residence, a line-voltage thermostat is primarily used to control _____.

Answers

Answer:

In a single-family residence, a line-voltage thermostat is primarily used to control heating and cooling systems.

Which of the following ion is the largest in size?a K+ b Ca2+ c Cl- d S2-

Answers

The ionic radius of Ca²⁺ is 100 pm, K⁺ is 138 pm, Cl⁻ is 181 pm, and S²⁻ is 184 pm, therefore option d is the right choice.

The influence of an ion's nucleus on its electron cloud extends outward to a distance called the ionic radius.

When an atom loses or gains an electron, an ion is created. A cation is formed when an atom loses an electron, and an anion is formed when an atom gains an electron. The ionic radius is the furthest point away from the ion's nucleus that its outermost shell can extend.

A cation's atomic size will be lower than that of its parent atom. Compared to its parent atom, an anion is comparatively large. That's because the net effective nuclear charge gets drowned out by the repulsion between electrons caused by an atom gaining electrons.

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Gear B supplies 15 kW of power, while gears A, C and D withdraw 6 kW, 4 kW and 5 kW, respectively. If the shaft is made of steel with the allowable shear stress of tau_allow = 75 MPa, and the relative angle of twist between any two gears cannot exceed 0.05 rad. determine the required minimum diameter d of the shaft to the nearest millimeter. The shaft is rotating at 600 rpm.

Answers

Using the formula of shear stress, the minimum required diameter is 0.81mm

What is Shear Stress

Shear stress is a force that causes two objects to slide past each other in opposite directions. It is the force per unit area of the surface on which the force is applied. Shear stress is often caused by two objects rubbing against each other, such as a car tire sliding on the road. It can also be caused by wind, gravity, or other forces.

The shear stress on the shaft can be calculated using the formula:

τ(allow) = P/(2*π*d*J)

where P is the total power transferred by the shaft, d is the diameter of the shaft, and J is the polar moment of inertia.

J = π*d⁴/32

Substituting the given values,

τ(allow) = (15 + 6 + 4 + 5)/(2*π*d*π*d⁴/32)

d = √[32*(15 + 6 + 4 + 5)/(τ(allow)*2*π²)]

d = √[32*(30)/(75*2*π²)]

d = 0.81mm

The minimum required diameter of the shaft is 0.81 mm to the nearest millimeter.

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Need help with Part 1 – Additional Operations I MATLAB question

Answers

gove it to me. I'll do my best

What’s the questions?

Verify that the indicated function y=ϕ(x)y=ϕ(x)

is an explicit solution of the given first-order differential

equation. By considering ϕϕ simply as a function, give its domain. Then by considering ϕϕ as a

solution of the differential equation, give at least one interval II of definition.

y′=25+y2;y=5tan5xy ′ =25+y 2 ;y=5tan5x

Answers

After considering ϕϕ simply as a function, its domain is ⇒  [-4 , ∞).

What is differential equation?

When one or more functions and their derivatives are included in a mathematical equation, it is referred to as a differential equation. A function's derivatives at a given point determine how quickly the function will change.

Physicists, engineers, and biologists use it most frequently. Differential equations are primarily used to analyse solutions that satisfy the equations as well as the characteristics of the solutions. The differential equation can be solved in a variety of ways, but one of the simplest is by using explicit formulas.

y = x + 6√(x + 4)

⇒  y' = 1 + 6[ 1/(2√(x + 4))]      since d/dx xn = nxn-1 , d/dx √x = 1/(2√x)

⇒  y' = 1 + 3/√(x + 4)

(y -x)y' = (6√(x + 4))(1 + 3/√(x + 4)) = 6√(x + 4) + 18

y-x+18 = 6√(x + 4) + 18

ϕ(x) = x + 6√(x + 4)

Domain ⇒  x + 4 >= 0 ⇒  x >= -4

Domain ⇒  [-4 , ∞)

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The power supply of a 3phase induction motor is 40kw and the corresponding stator losses are 1.5kw. Calculate the total mechanical power developed below

Answers

Two different kinds of losses can happen in a three-phase induction motor. These losses are variable losses that are constant or fixed losses. Fixed or Constant Losses Consta.

Exactly how are stator losses determined?

Stator losses, including as stator iron loss and stator copper loss, are financed in part by this power input. Rotor input is provided with the leftover power, or (input electrical power - stator losses). Thus, rotor input P2 equals Pin minus stator losses (stator copper loss and stator iron loss).

What are the induction motor's three-phase losses?

Fixed losses, Copper losses, and stray losses are a few types of losses that can occur in three-phase induction motors. Core losses, bearing friction losses, brush friction losses (in wound rotor motors), and windage losses make up the majority of these losses.

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round your answers to the nearest hundredths if needed -25+5s=8

Answers

Answer:

s = 6.6

-25 + 5 × 6.6 = 8

Just let me know if you need any more help.

Lighting track ____ permitted to be installed within a zone extending 3 feet horizontally and 8 feet vertically from the top of a bathtub rim.

Answers

Answer:

Lighting track is not permitted to be installed within a zone extending 3 feet horizontally and 8 feet vertically from the top of a bathtub rim.

Explanation:

Me in a good way what is 16÷ 4743

Answers

Answer:

0.00337339236

Answer:

Hey there! 16 divided by 4743 is approximately equal to 0.003366. This means that if you take 16 and divide it by 4743, the result will be a number that is very close to 0.003366. This division problem can be written as the fraction 16/4743, or as the decimal 0.003366.

________________________________________________________

What are some common mistakes to avoid when solving division problems?

Some common mistakes to avoid when solving division problems include forgetting to carry the remainder, failing to check for divisibility, and mixing up the order of the dividend and the divisor. It is also important to pay attention to the units of measurement and to ensure that the units in the dividend and the divisor are compatible.

What are some strategies for solving division problems with large numbers?

Some strategies for solving division problems with large numbers include using place value to break down the numbers into smaller units, using long division or a calculator to perform the division, and using estimation to check the reasonableness of the answer. It can also be helpful to use mental math techniques, such as rounding, to simplify the division problem. Other strategies might include using division to find the prime factorization of a number or to identify common factors or multiples.

the branch circuit conductors for a 5 hp, 230V, single-phase motor with a nameplate rating of 25 A must have an ampacity of ___________ or greater.

Answers

The branch circuit conductors for a 5 hp, 230V, single-phase motor with a nameplate rating of 25 A must have an ampacity of 30 A or greater.

What is circuit?
A circuit is an interconnection of electronic components that allows electricity, signals or data to flow from one component to another. It can be as simple as a single resistor or as complex as a microprocessor. Circuits are used to provide power to devices, control signals, process data or any combination of these. Circuits can be made from components such as resistors, capacitors, transistors, integrated circuits and microprocessors.

According to the National Electrical Code (NEC), the minimum branch circuit conductor size for a 5 hp, 230V, single-phase motor with a nameplate rating of 25 A must be sized at 30 A or greater. This is because the NEC requires a branch circuit conductor to have an ampacity at least 125% of the full-load current rating of the motor.

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A ? is a traditional tool used to align and mark vertical points from top to bottom.
Select one:
a. compass
b. plumb bob
c. protractor
d. ruler

Answers

Answer: B, plumb bob

Explanation:

A plumb bob's main job was to establish what is true (ie vertical and perpendicular to a surface,) as well as the secondary task of marking these points.

Compasses are mainly used to draw circles, protractors are used to measure angles, and rulers are used to measuring length.

TMI Systems, a company that customizes software for construction cost estimates, repaid a loan obtained 5 years ago at 10% per year simple interest. If the amount that TMI repaid was $140,000, calculate the principal of the loan

Answers

The principal of the loan that TMI Systems repaid was $90,000.

The formula to calculate the principal of a loan is P = L + I, where P is the principal, L is the loan amount, and I is the total interest paid over the duration of the loan.

In this case, we are given that the loan amount was 10% per year simple interest, which can be calculated by multiplying the principal by the interest rate (0.1) and the duration of the loan (5 years). Therefore, the total interest paid over the duration of the loan is P x 0.1 x 5 = $50,000.

We are also given the total amount repaid, which is the sum of the principal and the total interest paid. Therefore, we can calculate the principal by subtracting the total interest paid from the total amount repaid.

This gives us $140,000 - $50,000 = $90,000. As the principal must be a positive value, the principal of the loan is $90,000.

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The 6 -kg smooth cylinder is supported by the spring having a stiffness of kAB = 120 N/m. Determine the velocity of the cylinder when it moves downward s = .2m from its equilibrium position, which is caused by the application of the force F = 60 N. (The 60 N force is not present in the equilibrium position.)

Answers

The velocity of the cylinder when it moves downward s = 0.2m from its equilibrium position is; 1.55 m/s

How to find the velocity of the cylinder?

At the equilibrium position, since;

F_sp = kx₀

We are given kAB = 120. Thus;

F_sp = 120x₀

Resolving forces about the y-axis gives;

∑f_y = 0, we have;

120x₀  - 4(9.81) = 0

x₀ = (6 * 9.81)/120

x₀ = 0.4905 m

Thus, when the 60 N force is applied, the compression of the spring is;

x = s + 0.4905 m

Thus;

F_sp = 120(s + 0.4905 m)

Then balancing of upward and downward forces gives us;

120(s + 0.4905) − 60 − 6(9.81) = 6(−a)

120s - 60 = -6a

a = 10 - 20s

At the initial condition v=0 at s = 0, we integrate to get the velocity;

v²/2 = 10s - 20s²

v = √(20s - 40s²)

At s = 0.2 m, we have;

v = √(20(0.2) - 40(0.2)²)

v = 1.55 m/s

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Which of the following is a good technique for building safer structures in an earthquake zone? a. Place shock absorbers on the tops of buildings to add stability. b. Use wood-frame construction. c. Use unreinforced walls so the walls can sway. d. Use concrete-block construction.

Answers

The following is a good technique for building safer structures in an earthquake zone is to use concrete-block construction.

What is an earthquake zone?
An earthquake zone is an area that is prone to frequent seismic activity. These zones are commonly located near active fault lines, where the Earth's tectonic plates constantly move. Earthquakes can cause significant damage to the local area, so it is important to be aware of the potential dangers of living in a seismically active region. In order to assess the risk, geologists and seismologists will measure the frequency and intensity of past earthquakes to determine the potential hazard posed by a particular area. Earthquake zones can also be classified according to their potential for danger, with some areas having a higher risk than others. It is important to remember that earthquakes can occur anywhere and that safety precautions should always be taken when living in a seismically active region.

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For gas piping other than black or galvanized steel installed in a concealed location, a shield plate shall be provided for protection against physical damage where a bored hole is located a maximum of ________ from the edge of the wood member.

Answers

For gas piping other than black or galvanized steel installed in a concealed location, where a bored hole is located a maximum of 1/2 inch from the edge of the wood member.

What is galvanized steel?
Galvanized steel
is a type of steel that has been treated with a layer of zinc oxide to protect it from corrosion. This layer is bonded to the steel so that it will not flake or peel off. Galvanized steel is often used in the construction industry because it is highly resistant to rust and other forms of corrosion. It is also used in the automotive and appliance industries as well as in the production of water pipes, fencing, and other metal items. Galvanized steel is cost-effective and easy to maintain, making it a popular choice for many applications. It is also environmentally friendly since it does not require the use of chemicals or paints. Galvanized steel is a durable and versatile material that is essential for many projects.

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A resonant six-turn loop of closely spaced turns is operating at 50 MHz. The radius of the loop is λ/30. The radius of the wire is λ/300, its conductivity is σ = 5.7 × 107 S/m. Determine the:
a. the directivity of the antenna (in dB)
b. the radiation efficiency
c. the gain of the antenna (in dB)

Answers

a) the directivity of the antenna is evaluated to be = 1.761db

b) radiation efficiency is evaluated to be  = 98.67%

c) reflection efficiency gain is evaluated to be =  68%

What is resonant?

Resonance is the relatively large selective response of an object or a system to an external oscillatory force that causes it to vibrate in step or phase. First, acoustical systems like musical instruments and the human voice were studied for resonance.

The total range of resonance frequencies was discovered to be independent of mass, height, and mass-to-height ratio, ranging from 9 to 16 Hz.

Therefore, the correct options are: a) 1.761 db., b) 98.67%., c) 68%.

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increasing capacity just before a bottleneck operation will improve the output of the process.
a. true
b. false

Answers

Answer: true

Explanation: I haves

Based on the case, which of the following are reasons why Boeing continues to expand internationally?
Multiple Choice
access to financial capital
availability of supplies and new markets
new markets
availability of supplies

Answers

Availability of supplies and new markets are reasons why Boeing continues to expand internationally.

What is Boeing?

The Boeing Company is a global multinational American company that develops, produces, and markets aircraft, helicopters, rockets, satellites, telecommunications gear, and missiles. Additional services offered by the business include leasing and product support.

According to 2020 revenue, Boeing ranks third among the world's largest defence contractors. It is also the largest exporter from the United States in terms of dollar volume. Boeing is one of the biggest aerospace manufacturers in the world.

The Dow Jones Industrial Average counts Boeing stock as a component. Delaware serves as Boeing's corporate home. In Seattle, Washington, on July 15, 1916, William Boeing established Boeing. At the beginning of August 1997, Boeing and McDonnell Douglas merged to form the current corporation.

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The calculated load for a 3-phase, 240-volt load is 196 amperes. The installation consists of three single insulated conductors in electrical metallic tubing, Type EMT. What size RHW copper conductors are needed

Answers

The size of RHW copper conductors needed for this 3-phase, 240-volt load is 4/10 AWG.

What is copper conductors?

Copper conductors are electrical wires composed of copper that are used to carry electrical currents. They are used in a variety of applications, including power generation and transmission, electronics, telecommunications, and consumer products. Copper is an ideal material for electrical conductors because it is highly conductive, durable, and cost-effective. Copper conductors are available in a range of sizes and shapes and are used in both residential and commercial settings.

This is based on the National Electrical Code (NEC) Table 310.15(B)(16), which states that the minimum size for a 196 ampere load is 4/10 AWG for three insulated conductors in an EMT conduit.

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raw sugar cane is taken into a process to create sugar, which is essentially sucrose. the raw cane is approximately 16% sucrose, 63% water, and the rest fiber by mass. juice from the cane is extracted by passing the cane through a series of crushers. about 5% extra mass of water is added to the sugar cane prior to this step to help in the extraction process. the crushed cane and liquid juice is sent to a filter press that creates a cake that contains 4% of the weight of the cane juice, which has a composition similar to the overall non-fiber content of the raw cane. the filtrate is sent to an evaporator where enough water is evaporated to obtain a pale yellow juice that is 41% water. a

Answers

The process of creating sugar from raw sugar cane involves several steps. First, the raw cane is passed through a series of crushers to extract the juice from the cane.

What is crusher?

A crusher is a machine designed to reduce large rocks into smaller rocks, gravel, or rock dust.

This step also adds about 5% extra mass of water to the sugar cane to help with the extraction process. The crushed cane and liquid juice are then sent to a filter press, which creates a cake containing 4% of the weight of the cane juice. This cake has a composition similar to the overall non-fiber content of the raw cane. The filtrate is then sent to an evaporator, where enough water is evaporated to obtain a pale yellow juice that is 41% water. Finally, the liquid is crystallized to produce sugar crystals, which are typically about 99.8% sucrose.

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A 2 HP, 120 V, single phase motor requires a _________________________ inverse time circuit breaker branch circuit short circuit and ground fault protective device. The motor has a nameplate FLC of 22.1 amperes.

Answers

A 2 HP, 120 V, single phase motor requires a 20 ampere inverse time circuit breaker branch circuit short circuit and ground fault protective device.

What is circuit?
A circuit is an electrical path between two or more points that allow electricity to flow. It consists of various components like resistors, capacitors, transistors, diodes, and wires. Each component serves as a building block to create a functioning circuit. Circuits are used to control and direct electricity to power a variety of devices like computers, televisions, radios, and more. They are at the heart of any electrical system, from the most simple to the most complex. By properly combining the components in a circuit, electricity can be directed to flow in the desired manner and perform the required tasks. Circuit design is an important engineering field and can be used to create many practical applications.

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Technician A says that after an accident you should take measures to avoid it in the future. Technician B says that it is okay to block an exit for a shop if you are actively working. Who is correct

Answers

Technician A is the correct answer. He is correct in saying that after an accident, you should take precautions to avoid it happening again in the future.

What to do after an accident?

First, look for any injuries. If someone is in pain, take care of them.

After that, move your car to a safer location where you can exchange names, addresses, phone numbers, vehicle identification numbers, vehicle license plate numbers, insurance information, and driver's license information.

Finally, take note of the crash site and obtain the names, addresses, and phone numbers of any witnesses. If the vehicles cannot be moved, set up flares or raise your hood to protect the scene.

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Why is it critical for the upper and lower end sections of an engine to work perfectly together

Answers

Answer:

It is critical for the upper and lower end sections of an engine to work perfectly together because they are responsible for converting fuel into motion, which is necessary for the engine to operate effectively.

The upper end section of an engine includes the cylinder head and valves, which are responsible for controlling the flow of fuel and air into the engine. The lower end section of an engine includes the crankshaft, connecting rod, and pistons, which are responsible for converting the fuel's energy into rotational motion.

If the upper and lower end sections of an engine are not working perfectly together, it can lead to a variety of problems, including reduced engine performance, reduced fuel efficiency, and increased emissions. It is therefore critical for the upper and lower end sections to be carefully designed and calibrated to work together seamlessly in order to ensure the optimal performance of the engine.

What qualitative effect would you expect each of the following to have on the P50 of hemoglobin (5 pts) a) Increase in pH from 7.0 to 7.4 Answer ___
b) Increase in Pco2 from 25 mmHg to 35 mm Hg Answer___
c) Dissociation into monomer polypeptide chains Answer ____
d) Decrease in 2,3-BPG concentration from 8 mM to 4 mM in red cells Answer___

Answers

You would expect each of the following to have a lower p50 qualitative effect on hemoglobin (5 pts) a) Raising the pH from 7.0 to 7.4.

What does "qualitative influence" mean?

On the forecasts, there is a "qualitative influence." Reliability and accuracy are two characteristics of forecasts. The dependability or accuracy of the forecasts may improve or worsen, depending on the qualitative effect.

What does a polypeptide protein's monomer look like?

Acitric Acids As an illustration, amino acid monomers make up proteins. A functional protein is created by folding a chain of linked polypeptides into a three-dimensional (3D) structure.

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Determine the x, y, z components of reaction at the ball-and-socket joint A.
Determine the x, y, z components of the moments where the wing is fixed to the fuselage A.
The sign has a mass of 90kg with center of mass at G.
(Figure 1)

Answers

__________________________________________________________

Hello! In this question, I will answer the first part of the question, in which we will determine the x, y, and z components for the reaction at joint A in the ball-and-socket.
__________________________________________________________

Explanation:

To better understand what the question entails, we will start off by drawing the free-body diagram to understand the direction of our components. The image is attached below. This will help us solve for our components.

__________________________________________________________

Solve:

To start, we will first solve for the weight of the sign, we will use the formula:

[tex]W=mg[/tex]

Whereas:

m = mass (90)g = gravity (9.81)

Plug in our values into the formula and solve:

[tex]W = 90\cdot9.81=882.9 N[/tex]

Since we now know our weight value, we can solve for our force in the cable BC, expressed as a vector. We will use the formula:

[tex]\bold{T}_{BC}=T_{BC}(\frac{\bold{r}_{BC}}{r_{BC}})[/tex]

Where:

[tex]\bold{r}_{BC[/tex] is coordinate B subtracted from the coordinate C[tex]r_{BC}[/tex] is the magnitude of BC

Plug in our values into the formula and solve:

[tex]\bold{T}_{BC}=T_{BC}\bigg(\cfrac{\text{[i - 2j+ 2k] ft}}{\sqrt{(1)^2+(-2)^2+(2)^2}}}\bigg)\\\\\bold{T}_{BC}=T_{BC}\bigg(\cfrac{\text{[i - 2j+ 2k] ft}}{3}}}\bigg)\\\\\text{Simplify}\\\\\bold{T}_{BC}=\frac{1}{3}T_{BC}{\text{i}}-\frac{2}{3}T_{BC}j+\frac{2}{3} T_{BC}k[/tex]

Now, let us solve for our force in the cable BD, also expressed as a vector. Use the formula:

[tex]\bold{T}_{BD}=T_{BD}(\frac{\bold{r}_{BD}}{r_{BD}})[/tex]

Use the same steps from solving for our vector force of cable BC. Plug in the values and solve:

[tex]\bold{T}_{BD}=T_{BD}\bigg(\cfrac{\text{[-2i - 2j+ k] ft}}{\sqrt{(-2)^2+(-2)^2+(1)^2}}}\bigg)\\\\\bold{T}_{BD}=T_{BD}\bigg(\cfrac{\text{[-2i - 2j+ k] ft}}{3}}}\bigg)\\\\\text{Simplify}\\\\\bold{T}_{BD}=-\frac{2}{3}T_{BD}{\text{i}}-\frac{2}{3}T_{BD}j+\frac{1}{3} T_{BD}k[/tex]

We now need to find the moment at A at equilibrium (0). This is known as:

[tex]\sum M_{a}=0 \Rightarrow\bold{r}_{B}\times(\bold{T}_{BC}+\bold{T}_{BD}+\bold{W})=0[/tex]

Whereas:

[tex]\bold{T}_{BC}=\big(\frac{1}{3}T_{BC}{\text{i}}-\frac{2}{3}T_{BC}j+\frac{2}{3} T_{BC}k\big)[/tex][tex]\bold{T}_{BD}=\big(-\frac{2}{3}T_{BD}{\text{i}}-\frac{2}{3}T_{BD}j+\frac{1}{3} T_{BD}k\big)[/tex][tex]\bold{W}=-882.9\text{k}[/tex][tex]\bold{r}_{B}=2\text{j}[/tex]

Plug in values into the equation:

[tex]2\text{j}\times\big[\big(\frac{1}{3}T_{BC}{\text{i}}-\frac{2}{3}T_{BC}j+\frac{2}{3} T_{BC}k\big)+\big(-\frac{2}{3}T_{BD}{\text{i}}-\frac{2}{3}T_{BD}j+\frac{1}{3} T_{BD}k\big)\big]\\+\text{j}\times-882.9\text{k}=0[/tex]

Find the moment about the z-axis to zero. This is known as:

[tex]\sum M_{z}=0\\\\-\frac{2}{3}T_{BC}+\frac{4}{3}T_{BD}=0\\\\\text{Simplify}\\\\T_{BC}=2T_{BD}[/tex]

Now, find the moment about the x-axis to zero. This is known as:

[tex]\sum M_{x}=0\\\\\frac{4}{3}T_{BC}+\frac{2}{3}T_{BD}-882.9=0\\\\\text{We know }T_{BC}=2T_{BD}\text{, plug in }2T_{BD}\text{ in }T_{BC}\\\\\frac{4}{3}\times2T_{BD}+\frac{2}{3}T_{BD}-882.9=0\text{ Solve for }T_{BD}\\\\\frac{10}{3}T_{BD}=882.9\\\\T_{BD}=264.87\text{ N}[/tex]

Now, let us calculate the tension in wire BC.

[tex]T_{BC}=2T_{BD} = 2(264.87) = 529.74\text{ N}[/tex]

Let us calculate the reaction at A by solving for the equilibrium force equation. The formula is:

[tex]\sum F=0\\\\\bold{F}_A+\bold{T}_{BC}+\bold{T}_{BD}+\bold{W}=0[/tex]

Plug in our known information into the equation and simplify.

[tex]\big[(A_xi+A_yj+A_zk)+(\frac{1}{3}T_{BC}{\text{i}}-\frac{2}{3}T_{BC}j+\frac{2}{3} T_{BC}k)+(-\frac{2}{3}T_{BD}{\text{i}}-\frac{2}{3}T_{BD}j\\+\frac{1}{3} T_{BD}k)-981\text{k}\big]=0\\\\\text{Separate by component}\\\\\big[(A_x+\frac{1}{3}T_{BC}-\frac{2}{3}T_{BD})\text{\bold{i}}+(A_y-\frac{2}{3}T_{BC}-\frac{2}{3}T_{BD})\text{\bold{j}}+(A_z+\frac{2}{3}T_{BC}+\frac{1}{3}T_{BD}\\-981)\text{\bold{k}}\big]=0\\\\\text{Plug in known values}\\[/tex]

[tex]\big[(A_x+\frac{1}{3}\times529.74-\frac{2}{3}\times264.87)\text{\bold{i}}+(A_y-\frac{2}{3}\times529.74-\frac{2}{3}\times264.87)\text{\bold{j}}+(A_z+\frac{2}{3}\times529.74+\frac{1}{3}\times264.87-882.9)\text{\bold{k}}\big]=0[/tex]

Now, we can calculate our reactions.

Calculate the reaction at A in the x-direction.

[tex]\sum F_x=0\\\\A_x+\frac{1}{3}\times529.74-\frac{2}{3}\times264.87=0\\\\\boxed{A_x=0\text{ N}}[/tex]

Calculate the reaction at A in the y-direction.

[tex]\sum F_y=0\\\\A_y-\frac{2}{3}\times529.74-\frac{2}{3}\times264.87=0\\\\A_y-529.74=0\\\\\boxed{A_y=529.74\text{ N}}[/tex]

Calculate the reaction at A in the z-direction.

[tex]\sum F_z=0\\\\A_z+\frac{2}{3}\times529.74+\frac{1}{3}\times264.87-981=0\\\\A_z-441.45=0\\\\\boxed{A_z=441.45\text{ N}}[/tex]

__________________________________________________________

Answer:

[tex]\boxed{\text{A=} < \text{0, 529.74, 441.45} > }[/tex]

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Tactical ventilation should only be performed when the fire attack hoselines and teams are in place and ready to advance toward the fire. T/F

Answers

It is TRUE that the Tactical ventilation should be performed only when the fire attack hoselines and teams are ready to advance toward the fire.

What is Tactical ventilation?

Through purposeful flow path management, the overarching goal of all forms of tactical ventilation is to improve interior tenability for occupants and firefighters.

Flow path management for control and extinguishment is best accomplished by placing ventilation openings as close to the source fire as possible (e.g., not in a remote location) and working in collaboration with the fire attack team (e.g., vent ahead of rather than behind the attack team).

Firefighters must constantly control their environment with hose stream techniques when using ventilation tactics and interior attack to cool and dilute the highly combustible smoke.

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What is the 8-digit binary value of the last octet of the IPv4 address 172.17.10.7? O 00000111 O 01100110 O 00001111 O 00000110 Question 10 1 pts A site administrator has been told that a particular network at the site must accommodate 126 hosts. Which subnet mask would be used that contains the required number of host bits? 255.255.255.128 255.255.255.0 O 255.255.255.224 O 255.255.255.240 Question 11 1 pts In which alternative to DHCPv6 does a router dynamically provide IPv6 configuration information to hosts? O SLAAC O ARP O ICMPv6 O EU1-64

Answers

The router will be informed of the appropriate host ID by the last octet, which is the octet of the sub-net mask 255.255.255.0.

In the IPv4 component of the address, one octet is referred to as x and is a decimal value between 0 and 255. Periods are used to separate the octets. Three periods and four octets are required in the IPv4 component of the address. People may have also heard the term "octets" used to describe the four numbers that make up an IP address. The right name for the four distinct digits that make up an IP address is an octet. The third octet of sub-netting is used to specify specific sub nets of network 150.150.0.0. In the example in the image, each sub-net number has a different value in the third byte, signifying that it is a separate sub-net number.

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Consider the velocity field v={−4yti+2xtj}m/s for the following parts

Answers

The velocity field isn't conservative, though.

What exactly is Velocity ?

Velocity is the direction at which an item is moving and serves as a measure of the rate at which its location is changing as seen from a particular point of view and as measured by a specific unit of time (for example, 60 km/h northbound). In kinematics, the area of classical physics that deals with the motion of bodies, speed is a basic idea.

A physical scalar quantity called velocity must have both a magnitude and a direction in order to be characterized. Speed is the scalar absolute value (intensity) of velocity; it is a coherent basic determinant whose quantity is measured in metres per second (m/s or m/s1) in the SI (measurement units).

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