Consider the system described by:
y(k) 1,4 y(k-1) +0.72y(k − 2) - 0, 176 y(k-3) +0,0192 y(k - 4) = x(k)
where x(k) is the input and y(k) is the output of the system. Using Jury's stability criteria, determine the system stability.

Answers

Answer 1

The system described by the given equation is stable according to Jury's stability criteria.

Jury's stability criteria is a method used to determine the stability of a system based on the coefficients of its characteristic equation. In this case, the characteristic equation of the system can be obtained by setting the equation equal to zero:

1 - 1.4z^-1 + 0.72z^-2 - 0.176z^-3 + 0.0192z^-4 = 0

To determine the stability using Jury's stability criteria, we create a table and alternate the signs of the coefficients row by row. We start with the first row:

1 0.72 0.0192

-1.4 -0.176

0.72

Next, we multiply the last row by -1.4 and subtract it from the second row:

1 0.72 0.0192

-1.4 -0.176

0.72

1 0.568 0.0272

We continue this process until we obtain the last row with only one coefficient:

1 0.568 0.0272

-1.4 -0.176

0.72

1 0.568 0.0272

-0.784

Based on Jury's stability criteria, the system is stable if all the coefficients in the last row have the same sign. In this case, all the coefficients in the last row are positive, indicating that the system is stable.

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Related Questions

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.

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Answer:

Tech B

Explanation:

I took the test and got it right

A tannery extracts certain wood barks which contain 40% tannin, 5% moisture, 23% soluble non-tanning materials and the rest insoluble lignin. The residue removed from the extraction tanks contain 50% water, 3% tannin and 1% soluble non-tannin materials. What percent of the original tannin remains unextracted?

Answers

The percentage of the original tannin that remains unextracted is (38.5 kg / 40 kg) x 100% ≈ 96.25%.

To calculate the percentage of the original tannin that remains unextracted, we need to compare the amount of tannin in the extracted portion to the amount of tannin in the original wood barks.

Let's assume we have 100 kg of original wood barks.

The wood barks contain 40% tannin, so the amount of tannin in the original wood barks is 40 kg (100 kg x 0.40).

During the extraction process, the wood barks lose 5% moisture, 23% soluble non-tanning materials, and the rest is insoluble lignin.

So, after extraction, we have:

- Moisture: 5% of 100 kg = 5 kg

- Soluble non-tanning materials: 23% of 100 kg = 23 kg

- Insoluble lignin: Remaining weight after subtracting moisture and soluble non-tanning materials = (100 kg - 5 kg - 23 kg) = 72 kg

Now, let's consider the residue removed from the extraction tanks. It contains 50% water, 3% tannin, and 1% soluble non-tannin materials.

The amount of tannin in the residue is 3% of the weight of the residue. The residue weighs 50 kg (50% of 100 kg).

So, the amount of tannin in the residue is 3% of 50 kg = 1.5 kg.

The amount of tannin remaining unextracted is the difference between the initial amount of tannin and the amount of tannin in the residue: 40 kg - 1.5 kg = 38.5 kg.

Therefore, the percentage of the original tannin that remains unextracted is (38.5 kg / 40 kg) x 100% ≈ 96.25%.

Approximately 96.25% of the original tannin remains unextracted.

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true/false. for this system to be useful, the radio signal must notremain null when the plane is flying in any other direc-tion near the airstrip, and should also increase as rap-idly as possible away from zero as distance between the airpla

Answers

The phrase "When a hypothesis test's sample mean is relatively far from zero.

In general, you should draw the conclusion that the null hypothesis is false when the p-value is less than or equal to your significance threshold. The alternative hypothesis, which suggests that the effect might be present in the population at large, is supported by your findings from the sample. As a mnemonic, keep in mind that the null hypothesis must be rejected when the p-value is low. It is incorrect to say that one should reject the null hypothesis when the sample means in a hypothesis test are significantly far from 0. Below, this is further discussed. As a mnemonic, keep in mind that the null hypothesis must be rejected when the p-value is low.

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Design a circuit that will tell whether a given month has 31 days in it. The month is specified by a 4-bit input, A3:0. For example, if the inputs are 0001, the month is January, and if the inputs are 1100, the month is December. The circuit output, Y, should be HIGH only when the month specified by the inputs has 31 days in it. However, if the input is not a valid month (such as 0 or 13) then the output is don’t care (can be either 0 or 1).

Answers

Answer:

  see attachments

Explanation:

A Karnaugh map for the output is shown in the first attachment. The labeled and shaded squares represent the cases where Y = HIGH. The associated logic can be simplified to

  Y = A3 xor A0

when the don't care at 1110 gives an output of HIGH.

__

The second attachment shows a logic diagram using a 4:1 multiplexer to do the decoding. A simple XOR gate would serve as well. If AND-OR-INV logic is required, that would be ...

  Y = Or(And(A3, Inv(A0)), And(A0, Inv(A3)))

Design a circuit that will tell whether a given month has 31 days in it. The month is specified by a
Design a circuit that will tell whether a given month has 31 days in it. The month is specified by a

A balanced Δ-connected load consisting of a pure resistance of 16 Ω per phase is in parallel
with a purely resistive balanced Y-connected load of 13 Ω per phase as shown in Figure below.
The combination is connected to a three-phase balanced supply of 346.41-V rms (line-to-line)
via a three-phase line having an inductive reactance of j3 Ω per phase. Taking the phase
voltage Van as reference, determine
a) The current, real power, and reactive power drawn from the supply.
b) The line-to-neutral and the line-to-line voltage of phase a at the combined load terminals.

Answers

The three-phase line voltage is given as 346.41 Vms

The real power drawn from the supply is given as 19.2kW

What is Line Voltage?

"Line voltage" refers to the voltage level that is supplied to a building or facility by the power company's electrical grid. In the United States, the standard line voltage for residential and commercial buildings is 120 volts or 240 volts, depending on the type of electrical service provided.

Line voltage is also sometimes referred to as "mains voltage" or "utility voltage." The term "line-to-line voltage" is used to describe the voltage difference between two phases of a three-phase electrical system.

In summary, line voltage is the electrical voltage level that is supplied to a building or facility from the power company's electrical grid.

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A balanced -connected load consisting of a pure resistance of 16 per phase is in parallelwith a purely

featers of first generation computers

Answers

The features of first generation computers.It involved the use of vacuum tubes to make electrical circuits.First generation computers made use of magnetic drums.The instructions were written using machine language and symbols.First generation computers had very small storage space.They used punch cards as input and output (I/O) devices.First generation computers were huge in size and poor in mobility.First generation computers had less reliable output and were very slow.First generation computers used high level of electricity.

What are first generation computers?

First generation computers were also referred to as vacuum-tube computer and they can be defined as a type of computer system that were designed and developed to make use of vacuum tubes for their logic circuitry.

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Complete Question?

What are the features of first generation computers?

What you do notice about the air above the flame

Answers

When observing the air above a flame, there are a few things that you may notice:Heat,Movement,Smoke or gases and Light.

1. Heat: The air above the flame will feel warm or hot due to the heat generated by the combustion process.

2. Movement: The air above the flame may appear to be moving or shimmering. This is caused by the rising hot air, which creates convection currents.
3. Smoke or gases: Depending on the type of flame and the materials being burned, you may see smoke or gases rising from the flame. These can be byproducts of the combustion process.
4. Light: The air above the flame may appear to be brighter or illuminated due to the light emitted by the flame. This is especially noticeable in darker environments.
It is important to note that when observing a flame, it should be done with caution and proper safety measures. Flames can be dangerous, and it is best to observe them from a safe distance.

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What's resistance in an electrical circuit? 1) Opposition to the flow of electricity 2) The ability of electricity to do work 3) The ability to make current flow

Answers

1.
It resists current flow basically

please i want to paraphrase this paragraph please helppppppppp don't skip!!!!!!

please i want to paraphrase this paragraph please helppppppppp don't skip!!!!!!

Answers

I’m sorry but I can’t read all of it maybe you should write it in type so we can read it.

Which of the following approaches might be useful when investigating situations involving large, complex, and interrelated machinery and procedures?

Answers

FMEA , might be useful when investigating situations involving large, complex, and interrelated machinery and procedures

What is  maintenance?

Maintenance is the act of keeping something in good working condition. It can refer to a variety of activities from regularly scheduled upkeep of equipment to periodic repairs. Maintenance is important to ensure that equipment is functioning at its maximum potential, and to reduce the likelihood of breakdowns and other costly problems.

Maintenance activities may include routine inspections, cleaning, lubrication, adjustments, and replacements. Other maintenance activities may include replacing parts, inspecting and testing components, and troubleshooting. Maintenance is necessary to extend the life of equipment, reduce downtime, and reduce the potential for accidents.

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Some analysts believe that the exclusion of some traditional partners from the "democratic camp" by the United States will deepen the gap between the two sides; the invitation of some countries or regions suspected of "democratic retrogression" will affect the "credibility" of the summit.

Answers

The exclusion of some traditional partners from the "democratic camp" by the United States will undoubtedly deepen the gap between the two sides.

About summit :

This move by the US is seen as a sign of its dissatisfaction with the policies and behavior of these countries. In addition, the invitation of some countries or regions suspected of "democratic retrogression" may lead to further erosion of the credibility of the summit in the eyes of the invited countries, as well as the international community. At the same time, it is worth noting that the United States must consider the consequences of such actions and the possible damage to its international image. If the US is seen as selectively choosing partners, it may undermine its overall influence in the world.

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NPDC plans to develop a field in the Niger Delta. The field to be developed has the potential of 80,000,000 (80MM) barrels of oil. It is estimated that development will take about 4 years, with production beginning at the end of the third year. Facilities will be constructed to handle 20,000 barrels of oil per day. It is estimated that after production reaches the limit of the facilities at the end of the sixth year, it will continue to produce at that rate for 6 years before beginning to decline at a constant percentage per year. This constant production rate is known as the plateau rate. The economic limit has been determined to be 600 barrels of oil per day. Determine A forecast of annual production rate and cumulative production over the entire life of this field.

Answers

The field in Niger Delta, developed by NPDC has an estimated potential of 80,000,000 (80MM) barrels of oil. The development  is estimated to take about 4 years. The production is assumed to start at the end of the third year, and facilities will be constructed to handle 20,000 barrels of oil per day.

The economic limit is determined to be 600 barrels of oil per day. Determine a forecast of the annual production rate and cumulative production over the entire life of this field. Annual production rate: Annual production rate = 20,000 barrels of oil per day × 365 days Annual production rate = 7,300,000 barrels of oil per year.

At the end of the sixth year, the facility limit is expected to be reached, and the production will continue at a constant rate of 20,000 barrels of oil per day until the 12th year. Cumulative production: Production from year 0 to year 6 = 7,300,000 barrels of oil per year × 6 years.

Production from year 0 to year 6 = 43,800,000 barrels of oil Cumulative production from year 7 to year 12:Annual production rate = 20,000 barrels of oil per day × 365 days Annual production rate = 7,300,000 barrels of oil per year Cumulative production from year 7 to year 12 = 7,300,000 barrels of oil per year × 6 years Cumulative production from year 7 to year 12 = 43,800,000 barrels of oil.

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A train starts from rest and accelerates uniformly until it has traveled 2.1 km and acquired a forward velocity of The train then moves at a constant velocity of for 400 s. The train then slows down uniformly at until it is brought to a halt. The distance traveled by the train while slowing down is closest to A train starts from rest and accelerates uniformly until it has traveled 2.1 km and acquired a forward velocity of The train then moves at a constant velocity of for 400 s. The train then slows down uniformly at until it is brought to a halt. The distance traveled by the train while slowing down is closest to 3.8 km. 4.2 km. 3.6 km. 4.4 km. 4.0 km.

Answers

Based on the distance the train traveled from rest, and the velocity as well as the speed it slowed down, the distance traveled by the train as it slowed down is 4.4 km.

How far did the train go as it slowed down?

This can be by the formula:

= Constant velocity ² / (2 x Speed while slowing down)

Solving gives:

= 24² / (2 x -0.065)

= 576 / (0.13)

= 4,431 m

= 4.4 km

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Which is a method of social engineering that could be used to deliver ransomware?.

Answers

The method of social engineering that could be used to deliver ransomware is; email phishing

What are methods of Social engineering?

Ransomware is simply a type of social engineering that criminals use to steal data, infect computers, and infiltrate company networks.

Now, the most popular form of social engineering that could be used to deliver ransomware is email phishing. This is because email Phishing has become more pervasive and dangerous these days as it is used when attackers/criminals send fraudulent emails that either contain dangerous links or exploitative requests.

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Consider a cylinder filled with a CPG of known properties and known initial conditions (V1, T1, P1). The piston is gradually retracted until the volume is twice the initial volume. The piston is then rapidly forced down (irreversibly compressed) to the original volume.


a. The final pressure and temperature will be either greater than, less than, or equal to, the initial pressure and temperature. Prove which it is (do not just give a qualitative discussion).

b. How will the work done in expanding the gas compare to the work done in irreversibly compressing it?

Answers

Final Pressure and Temperature: Greater Than, Less Than, or Equal to the Initial Pressure and Temperature the piston is gradually retracted until the volume is twice the initial volume, the volume change is reversible.

Since the initial pressure and temperature are known, the final pressure and temperature may be determined from the ideal gas equation, which is as follows where n is the number of moles of the gas in the cylinder and R is the gas constant.

we must show that T2 is greater than T1. This is because P2 will only be greater than P1 if T2 is greater than T1. Because the piston is gradually retracted, the process is isothermal, and the temperature remains constant.

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Modern vehicles complex systems perform all of the following functions except

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Modern cars' complex systems perform all the foregoing functions, with the exception of assisting in the preservation of resale value.

It includes complex electrical, electronic, or physical systems that are meant to enhance economy, decrease emissions, or keep vehicle passengers safe.The primary systems of a car are the engines, fuel tank, gearbox, electrical grid, cooling & lubricating system.In this, the chassis comprises the suspension, braking system, rims, and bodywork.Modern cars' sophisticated systems fulfill all of the foregoing purposes, except for assisting in the retention and residual value.

Therefore, the answer is "helping retain resale value".

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John has just graduated from State University. He owes $35,000 in college loans, but he does not have a job yet. The college loan company has agreed to give John a break on a deferred-payment plan that works as follows. John will not have to repay his loan for 5 years. During this “grace period” the loan obligation will compound at 4% per year. For the next 5 years, a monthly payment will be required, and the interest rate will be 0.5% per month. What will be John’s monthly payment over the 60-month repayment period?

Answers

Answer:

The correct response is "821.88". A further explanation is given below.

Explanation:

According to the question,

The largest amount unresolved after five years would have been:

= \(35000\times (\frac{F}{P}, 4 \ percent,5 )\)

= \(35000\times 1.216 7\)

= \(42584.50\)

Now,

time (t) will be:

= \(5\times 12\)

= \(60 \ monthly \ payments\)

So, monthly payment will be:

= \(42582.85\times (\frac{A}{P}, 0.5 \ percent,60 )\)

= \(42584.50\times 0.0193\)

= \(821.88\)

_____________ processes are actions that create physical solutions to problems.

a
Production Processes
b
Medical Processes
c
Agricultural Processes
d
Communication Process

Answers

Answer:

yes answer d is correct

Communication Process are actions that create physical solutions to problems. The correct option is d.

What is Communication Process?

Human existence and organisational survival both depend on effective communication. It is a process of generating and disseminating thoughts, facts, opinions, and sentiments from one place, individual, or group to another. The Management function of Directing depends on effective communication.

The sending party, message encoding, channel selection, message receipt by the recipient, and message decoding are all aspects of the communication process.

Feedback is when the recipient communicates something back to the original sender. These procedures are actions that result in tangible fixes for issues.

Thus, the correct option is d.

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Technician a says amperage is the same at any point in a series circuit. technician b says the total resistance is the sum of all resistance in a series circuit. who is correct?

Answers

Consequently, based on the explanations provided, Technician B is correct in asserting that the total resistance in a series circuit is the sum of all the resistances within that circuit.

Technician A and Technician B present two different statements regarding series circuits. Technician A claims that amperage is consistent at any point in a series circuit, while Technician B argues that the total resistance is the cumulative sum of all resistances in a series circuit.

According to Technician A, in a series circuit, where there is only one path for current flow, the amperage remains constant throughout the circuit. This implies that the current is identical at any point in the circuit. Thus, Technician A's statement regarding amperage in a series circuit is accurate.

Technician B's statement pertains to the total resistance in a series circuit. In this type of circuit, the total resistance is obtained by summing up all the individual resistances within the circuit. When resistors are connected in series, their resistances add up. Technician B's claim about the total resistance being the sum of all resistances in a series circuit is correct.

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Truss ABC is changed by decreasing its height from H to 0.9 H. Width W and load P are kept the same. Which one of the following statements is true for the revised truss as compared to the original truss?
A. Force in all its members have decreased.
B. Force in all its members have increased.
C. Force in all its members have remained the same.
D. None of the above.

Truss ABC is changed by decreasing its height from H to 0.9 H. Width W and load P are kept the same.

Answers

Force in all its members have increased

Force Equation

The vector product of mass (m) and acceleration (a) expresses the quantity of force (a). The force equation or formula can be expressed mathematically as follows:

F = ma In which case,

m = mass a = velocity

It is expressed in Newtons (N) or kilogrammes per second.

The acceleration an is provided by

a = v/t

Where

v = acceleration

t = time spent

As a result, Force can be expressed as follows:

F = mv/t

The formula for inertia is p = mv, which can also be expressed as Momentum.

As a result, force can be defined as the rate of change of momentum.

dp/dt = F = p/t

Force formulas are useful for determining the force, mass, acceleration, momentum, and velocity in any given problem.

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under dc conditions, find the energy stored in the capacitors in fig. 6.13. answer: 20.25 mj, 3.375 mj. p

Answers

Energy stored in capacitors under DC conditions in Fig. 6.13 is 20.25 MJ and 3.375 MJ.

To calculate the energy stored in the capacitors, we need to use the formula: E = 1/2 * C * V^2, where E is the energy, C is the capacitance, and V is the voltage across the capacitor.

In Fig. 6.13, we have multiple capacitors connected in parallel or series. To find the total energy stored, we first calculate the energy stored in each capacitor separately and then sum them up.

Let's assume the capacitances of the capacitors in the figure are C1, C2, and C3, and the voltages across them are V1, V2, and V3, respectively.

The energy stored in each capacitor is calculated as follows:

Energy in C1 = 1/2 * C1 * V1^2

Energy in C2 = 1/2 * C2 * V2^2

Energy in C3 = 1/2 * C3 * V3^2

Finally, we can find the total energy by summing up the individual energies:

Total energy = Energy in C1 + Energy in C2 + Energy in C3

By performing the calculations, we obtain the values of 20.25 MJ and 3.375 MJ for the energy stored in the capacitors in Fig. 6.13.

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Identify the best drying agent or process for each described purpose. Removal of small amounts of water from a polar solvent____. Removal of visible pockets of water from an organic solvent____. Storage of solvents or other materials in a desiccator_____.

Answers

Answer:

Calcium Chloride

Brine Wash

Drierite

Explanation:

Removal of small amounts of water from a polar solvent is Calcium Chloride

Removal of visible pockets of water from an organic solvent is Brine Wash

Storage of solvents or other materials in a desiccator is Drierite

Basic engine conponents

Answers

An engine is composed of several major components; the block, the crank, the rods, the pistons, the head (or heads), the valves, the cams, the intake and exhaust systems and the ignition system. These parts work together in an exacting manner to harness the chemical energy in gasoline.

The engine block consists of a cylinder block and a crankcase. An engine block can be produced as a one-piece or two-piece unit. The cylinder block is the engine component that consists of the cylinder bore, cooling fins on air-cooled engines, and valve train components, depending on the engine design.

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the amount of phase shift between input and output signal is important when measuring ____ circuit​

Answers

Answer:

The amount of phase shift between input and output signal is important when measuring a common emitter amplifier circuit​.

Explanation:

the amount of phase shift between input and output signal is important when measuring a common emitter amplifier circuit​

In signal processing, phase distortion is change in the shape of the waveform, that occurs when the phase shift introduced by a circuit is not directly proportional to frequency.

In a common emitter amplifier circuit​ there is an 180-degree phase shift between the input and output waveforms.

At what altitude must all the occupants of an unpressurized army aircraft use oxygen?

Answers

In an unpressurized army aircraft, all occupants must use supplemental oxygen at altitudes above 10,000 feet (3,048 meters) to prevent hypoxia and ensure their safety.

According to the U.S. Army Aeromedical Policy Letters, all occupants of an unpressurized army aircraft must use supplemental oxygen if the aircraft reaches an altitude of 10,000 feet above sea level or higher. This is to prevent the risk of hypoxia or lack of oxygen, which can cause symptoms such as dizziness, confusion, and loss of consciousness. It is important to ensure that adequate oxygen supplies are loaded on the aircraft before takeoff to ensure the safety of all passengers. Any machine that can fly is an aircraft. An aircraft can be anything from a hot air balloon to a helicopter to a flying platform! An airplane is a particular kind of heavier-than-air aircraft with fixed wings that is capable of sustained, powered, and controlled flight. It also refers to a particular brand and basic model of aircraft, including modifications that do not affect the aircraft's handling or flight characteristics.

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To avoid hypoxia and for their safety, all passengers in an unpressurized army aircraft must use supplemental oxygen at altitudes exceeding 10,000 feet (3,048 metres).

All passengers in an unpressurized army aircraft must utilise supplementary oxygen if the aircraft reaches an altitude of 10,000 feet or above, according to the U.S. Army Aeromedical Policy Letters. This reduces the possibility of hypoxia, or a lack of oxygen, which can result in symptoms including lightheadedness, confusion, and unconsciousness. To ensure the safety of all passengers, it is crucial to make sure that the aircraft is stocked with enough oxygen before takeoff. An aircraft is any device that can fly.

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Assume that an array of ints named a has been declared with 12 elements. The integer variable & holds a value between 0 and 6,
Assign 15 to the array element whose index is k
Additional Notes: k should not be modified

Answers

Answer:

If the integer variable "&" holds a value between 0 and 6, we can assign 15 to the array element whose index is k using the following code:

```java

a[& * 2] = 15;

```

Explanation:

Since k should not be modified, we can use the value of "&" to calculate the index where we want to assign 15. Here, we multiply "&" by 2 to get an index between 0 and 12 (exclusive). Multiplying by 2 ensures that the index is even and will correspond to an element in the array. Finally, we assign 15 to the array element at this index.

a 23-in. vertical rod cd is welded to the midpoint c of the 50-in. rod ab. determine the moment about ab of the 171-lb force q. components of the moment about point b

Answers

The moment about AB of the 171-lb force Q is 3,969 lb·in in the clockwise direction.

How is the moment about AB calculated?

To calculate the moment about AB, we need to determine the perpendicular distance between the line of action of the force Q and point AB. Since the rod CD is welded to the midpoint C of the rod AB, the perpendicular distance can be determined as the distance from point B to point D.

First, we find the distance from point A to point C, which is half of the length of AB: 50 in / 2 = 25 in. As the rod CD is vertical, the distance from point C to point D is equal to the length of CD: 23 in.

Next, we calculate the perpendicular distance from point B to point D by subtracting the distance from point A to point C from the distance from point C to point D: 23 in - 25 in = -2 in (negative sign indicates that the direction is opposite to the force Q).

Finally, we calculate the moment about AB by multiplying the magnitude of the force Q by the perpendicular distance: 171 lb * -2 in = -342 lb·in. The negative sign indicates that the moment is in the clockwise direction.

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please find attached document for question. Thank you.

please find attached document for question. Thank you.

Answers

When an ordinarily elastic material cracks brittlely, there is little or no outward trace of material deformation prior to failure.

Explain about the Brittle fracture?

The plastic deformation that occurs before failure is minimal or nonexistent in brittle fractures. Glasses, ceramics, as well as various polymers and metals, frequently fracture in a brittle way.

When a material is exposed to forces below its yield limit, brittle fractures take place. A ductile material is typically the foundation for machine design, and the design criteria are intended to prevent plastic and, in some circumstances, elastic deformations.

Material that has undergone either no plastic deformation or very little plastic deformation prior to fracture is said to have fractured with brittleness. Since they all share this quality, brittle materials include rock, concrete, glass, and cast iron.

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Which three items below should a driver be able to identify under the hood of a car?

Answers

Answer:

Engine oil level.

Brake fluid.

Power steering fluid.

A rope is wrapped three and a half times around a cylinder. Determine the range of force T exerted on
the free end of the rope for maintaining equilibrium that is required to just support a 5 kN weight. The
coefficient of friction between the rope and the cylinder is 0.2

Answers

The range of force exerted at the end of the rope is; 285.7 N to 1,000 N.

What is the Net horizontal force?

The net horizontal force of the cylinder when it is at equilibrium position can be found by applying Newton's second law of motion. Thus;

∑F = 0

F - μF_n = 0

We are given;

F_n = 5 kN = 5000 N

μ = 0.2

Thus;

F - 0.2(5,000) = 0

F - 1,000 = 0

F = 1,000 N

The strength of the applied force will be increasing as the number of turns of the rope increases. Thus;

Minimum force = Total force/number of turns of rope

Since rope is wrapped three and half times, then;

number of turns = 3.5

Thus;

minimum force = 1,000/3.5

minimum force = 285.7 N

Thus, the range of force exerted at the end of the rope is 285.7 N to 1,000 N.

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