Design a modulo-6 counter, which counts in the sequence 0, 2, 4, 6, 3, 1, 0 using jk flip flop

Answer:

The appropriate answer is "0.0043".

Explanation:

The given values is:

Error probability,

p = 0.01

Received digits,

n = 10

and,

\(x\sim Binomial\)

As we know,

⇒  \(P(x)=\binom{n}{x}p^xq^{n-x}\)

Now,

⇒  \(P(x >1) =1- \left \{ P(x=0)+P(x=1) \right \}\)

⇒                 \(=1-\left \{\binom{10}{0}(0.01)^0(0.99)^{10-0}+\binom{10}{0}(0.01)^1(0.99)^{10-1} \right \}\)

⇒                 \(=1-0.9957\)

⇒                 \(=0.0043\)

Complete Question

Consider a machine of mass 70 kg mounted to ground through an isolation system of total stiffness 30,000 N/m, with a measured damping ratio of 0.2. The machine produces a harmonic force of 450 N at 13 rad/s during steady-state operating conditions. Determine

(a) the amplitude of motion of the machine,  

(b) the phase angle of the motion,  

(c) the transmissibility ratio,  

(d) the maximum dynamic force transmitted to the floor, and  

(e) the maximum velocity of the machine.

Answer:

a)  \(X=0.0272m\)

b)  \(\phi=22.5 \textdegree\)

c)  \(T_r=1.57\)

d)  \(F=706.5N\)

e)  \(V_{max}=0.35m/s\)

Explanation:

From the question we are told that:

Mass \(M=70kg\)

Total Stiffness \(\mu=30000\)

Damping Ratio \(r=0.2\)

Force \(F=450N\)

Angular velocity \(\omega =13rad/s\)

Generally the equation for vibration in an isolated system is mathematically given by

 \(\omega_n=\sqrt{\frac{k}{m}}\)

 \(\omega_n=\sqrt{\frac{30000}{70}}\)

 \(\omega_n=20.7rad/s\)

a)

Generally the equation for Machine Amplitude is mathematically given by

\(X=\frac{F_O/m}{(\omega_n^2-\omega^2)^2-(2*r*\omega)*\omega_n*\omega^2)^{1/2}}\)

\(X=\frac{450}{70}}{(20.7^2-(137^2)^2-(2*0,2*(20.7(13)))^2)^{1/2}\)

\(X=0.0272m\)

b)

Generally the equation for Phase Angle is mathematically given by

\(\phi=tan^{-1}\frac{2*r*\omega_n*\omega}{\omega_n^2*\omega^2}\)

\(\phi=tan^{-1}\frac{2*0.2*20.7*13}{\20.7^2*13^2}\)

\(\phi=22.5 \textdegree\)

c)

Generally the equation for transmissibility ratio is mathematically given by

\(T_r=\sqrt{\frac{1+(2r\beta)^2}{(1-r^2)^2+(2*\beta*r)^2}}\)

Where

\(\beta=Ratio\ of\ angular\ velocity\)

\(\beta=\frac{13}{20.7}\\\beta=0.638\)

Therefore

\(T_r=\sqrt{\frac{1+(2*(0.2)(0.638))^2}{(1-(0.2)^2)^2+(2*0.2*0.638)^2}}\)

\(T_r=1.57\)

d)

Generally the equation for Maximum dynamic force transmitted to the floor is mathematically given by

 \(F=(T_r)*F_o\)

 \(F=(1.57)*450\)

 \(F=706.5N\)

e)

Generally the equation for Maximum Velocity of Machine is mathematically given by

 \(V_{max}=\omega*x\)

 \(V_{max}=13*0.0272\)

 \(V_{max}=0.35m/s\)

The op-amp circuit that has a capacitor as the feedback component and resistor at the inverting input is called a "integrator" circuit.

An integrator circuit is a type of analog circuit that performs the mathematical operation of integration on the input signal. The input signal is applied to the inverting input terminal of the op-amp through a resistor, while the feedback capacitor is connected between the output and the inverting input terminal. The output of the integrator circuit is the integrated value of the input signal over time. The capacitor in the feedback loop of the circuit allows the circuit to integrate the input signal by storing charge and discharging it over time. The inverting input terminal of the op-amp acts as a summing junction, and the output voltage of the op-amp is proportional to the integrated value of the input signal. An integrator circuit is commonly used in analog circuits such as filters, oscillators, and amplifiers.

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The bath tub vortex shown in Figure 4 has a rotational zone that extends up to a radius of r = 0. 6 meters and has a variable tangential velocity of the fluid under rotation.

This page is about the line segment. A bone is a radius; see Bone . In other contexts, the radius of a circle or sphere is any line segment that, in classical geometry, connects the object's center to its perimeter; in more modern usage, it also refers to the length of such line segments. The Latin origin of the term "radius" gives it the meanings "ray" and "the spoke of a chariot wheel." The term radius can be pluralized using radii or the standard English radii. The most common abbreviations and names for the mathematical variable radius are R and r. By extension, the diameter D and the radius R are equal. The phrase could relate to an absence of a center.

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a The natural frequency of the paralysis transient response is 1.07 rad/s.

b The maximum possible percent paralysis if a 2% mixture of isoflurane is used is 7.63%.

c  The step response of paralysis if a 1% mixture of isoflurane is used

The percent isoflurane that would have to be used for 100% paralysis is 27.3%.

A. The damping ratio is given by ζ = −b/2√(a² - c²).

In this case, a = 1.15, b = 0, and c = 0.28,

The natural frequency of the paralysis transient response is given by ωn = √(a² - c²)

= √(1.15² - 0.28²)

= 1.07 rad/s.

B. The maximum possible percent paralysis is given by the steady-state value of the step response. In this case, the steady-state value is equal to the gain of the system, which is 7.63 × 10⁻².

Therefore, the maximum possible percent paralysis if a 2% mixture of isoflurane is used is 0.0763 = 7.63%.

C. The step response of paralysis if a 1% mixture of isoflurane is used is shown below.

Time (s) | Percent paralysis

------- | --------

0.0 | 0.00

0.1 | 0.03

0.2 | 0.06

0.3 | 0.09

0.4 | 0.12

0.5 | 0.15

0.6 | 0.18

0.7 | 0.21

0.8 | 0.24

0.9 | 0.27

1.0 | 0.30

As you can see, the percent paralysis increases rapidly at first, and then approaches a steady-state value of

= 7.63 × 10⁻²

= 7.63%.

D. For 100% paralysis, the percent paralysis must equal the gain of the system, which is 7.63 × 10⁻². Therefore, the percent isoflurane that would have to be used for 100% paralysis is

= 0.63 × 10⁻² / 0.28

= 27.3%.

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Answer:

This is an example of the conduction of electricity through metal. Free moving electrons on the car will conduct a electric field when a voltage is applied to the car;  in this case the transmission line, and would flow through the metal to the door handle causing electrocution.

An Ethernet star LAN is implemented using: B. a self-programming switch at the center of the star.

In Computer technology, a network topology can be defined as the graphical representation of the various networking devices that are used to create and manage a network connection.

In Computer networking, there are six (6) main types of network topology and these include the following:

Generally speaking, an Ethernet star local area network (LAN) simply refers to a type of network topology in which all of the network devices are directly connected to a common hub (centralized computer) or hub-and-spoke and it can be implemented by using a self-programming switch that is installed at the center of the star.

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When you write a scientific name using the binomial nomenclature system, there are a few things to think about such as those given below.

Genus and species: The scientific name has two parts—the genus name and the species name. When you print them, they should be written in slanted letters called italics. If you write them by hand, you can underline them instead. For instance, humans.

Capitalization: The name of the group is always written with a capital letter, while the specific name is written with small letters. For instance, consider the bacteria called Escherichia coli.

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The true power is obtained as 70.7 VA.

We define the power a the rate of doing work, we know that the power in a circuit is the product of the current and the voltage. In this case, we want to find the true power thus we have to involve the use of the phase shift in degrees.

Thus;

True power = PcosΦ

P =  100 VA

Φ = 45 degrees

True power =  100 VA * cos 45 degrees

True power = 70.7 VA

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If the wire used is 14 awg. The voltage applied to the fixtures is: 8.61 volts.

First step is to calculate the amperes using this formula

I = P ÷ E

Where:

I =load current (amperes)=?

P =Product of voltage=(6)(20)

E =Electrical circuit's=12

Let plug in the formula

I= (6)(20) ÷ 12

I=120÷12

I= 10 amps

Second step is to calculate the Voltage drop

Using this formula

Vd = [2KIL] ÷ CMA

Where:

Vd= Voltage drop( volts)=?

K=Direct current constant=11.6

I=Load current (amperes)= 10 amps

L =Length in feet=60 feet

CMA=Circular mill area= 4110

Let plug in the formula

Vd= [(2)(11.6)(10)(60)] ÷ 4110

Vd=13,920÷4110

Vd= 3.3869 volts

Third step is to calculate Voltage at fixture

Voltage at fixtures=Electrical circuit's-Voltage drop

Voltage at fixtures=12 - 3.3869

Voltage at fixtures=8.6131 volts

Voltage at fixtures=8.61 volts (Approximately)

Therefore the voltage applied to the fixtures is: 8.61 volts.

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Answer:

The answer is "Neither".

Explanation:

Engine cranking implies that certain energy is applied to both the starter motor to motivate the engine only with one function: crank the wind-shaft of the engine and create an appropriate compressor in at most one piston for a good activation.

In this question, both Technician was wrong because the pressure motor oil is being used, a motor can crank very slowly or can't start throughout the cold weather.

The organizational structure of the United States Air Force (USAF) from the top down is as follows:

President of the United States: As the commander-in-chief of the armed forces, the President has ultimate authority over the USAF.

Secretary of Defense: The Secretary of Defense is responsible for the overall supervision of the Armed Forces and oversees the policies and resources of the USAF as one of the branches of the military.

Secretary of the Air Force: The Secretary of the Air Force is responsible for the organization, training, and equipping of the USAF, as well as overseeing the Air Staff, which provides administrative and logistical support to the Chief of Staff.

Chief of Staff of the Air Force: The Chief of Staff of the Air Force is the highest-ranking officer in the USAF and serves as the principal military advisor to the Secretary of the Air Force and the President. The Chief of Staff is responsible for establishing policy and overseeing the operations and management of the USAF.

Major Commands (MAJCOMs): The MAJCOMs are responsible for executing the operational missions of the USAF. There are currently 11 MAJCOMs, including Air Combat Command, Air Education and Training Command, Air Force Global Strike Command, and others.

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The z-transform and transfer function of the filter can be calculated using the given coefficients of the difference equation.

(a) Taking the z-transform of both sides, we get:

Y(z) = X(z)B(z),

where B(z) is the z-transform of the system's impulse response b[n]:

B(z) = 1 + b1z^-1 + b2z^-2 + b3z^-3 + b4z^-4.

Substituting the given initial conditions x[-1) = x[-2] = x[-3) = x(â€"4] = 0, we have:

X(z) = z^4.

Therefore,

Y(z) = z^4B(z) = z^4(1 + b1z^-1 + b2z^-2 + b3z^-3 + b4z^-4).

(b) The transfer function H(z) is defined as the z-transform of the system's impulse response h[n]:

H(z) = B(z).

Using the expression for B(z) from part (a), we have:

H(z) = 1 + b1z^-1 + b2z^-2 + b3z^-3 + b4z^-4.

(c) The poles of the system are the values of z for which H(z) becomes infinite, which occurs when the denominator of H(z) equals zero. Therefore, we need to solve the equation:

1 + b1z^-1 + b2z^-2 + b3z^-3 + b4z^-4 = 0.

This equation has no closed-form solution in general. However, we can use the quadratic formula to find the roots of the equation when it can be factored as a quadratic:

z^-2 + b1z^-3 + b2z^-4 + b3z^-5 + b4z^-6 = 0.

Letting x = z^-2, we have:

x^2 + b1x^3 + b2x^4 + b3x^5 + b4x^6 = 0.

This is a polynomial of degree 6, which can be factored into a product of quadratic and linear terms. The roots of the equation are the reciprocals of the roots of the factored polynomial, which can be expressed in terms of the general parameters bk, k = 0, 1, ..., 4.

(d) The impulse response h[n] of the system can be found by taking the inverse z-transform of H(z):

h[n] = [z^n]^-1H(z),

where [z^n]^-1 denotes the coefficient of z^-n in the Laurent series expansion of H(z) around z = 0.

Substituting the expression for H(z) from part (b), we have:

h[n] = [z^n]^-1(1 + b1z^-1 + b2z^-2 + b3z^-3 + b4z^-4).

Expanding this expression in a power series, we get:

h[n] = [n = 0] + b1[n = 1] + b2[n = 2] + b3[n = 3] + b4[n = 4],

where [P] is the Iverson bracket, which evaluates to 1 if the proposition P is true, and 0 otherwise. Therefore, the impulse response h[n] is a finite sequence of length 4, with coefficients given by the general parameters bk, k = 0, 1, ..., 4, and zeros elsewhere.

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Answer:

Explanation:

The probability of n bits being in error is 10Cn × p^n, where ...

  10Cn = 10!/(n!(10-n!))

  10C1 = 10

  10C2 = 45

  10C3 = 120

This is the product of the probability that n bits can be in error and the number of ways that n bits can be chosen from the 10 in the word.

  n = 1: 10p

  n = 2: 45p²

  n = 3: 120p³

Answer:

1/8 is the maximum length for opening any on the surface of 2 gtam guided bend test specimen

RAM is called “random access” because any storage location on the computer can be accessed directly (as opposed to randomly).

Answer:

None of the above cause thats what i put

The best time delay rating for a fuse used in semiconductor circuits is standard.

What is a fuse?

A fuse is an electrical safety device that protects an electrical circuit against overcurrent in electronics and electrical engineering. An integral part of it is a metal wire or strip that melts under excessive current flow, blocking or interrupting the current. The service distribution panel contains fuses as an over-current safety measure.

It basically consists of a metal piece that melts when it gets too hot. In accordance with their use in various applications, fuses can be categorized as "One Time Only Fuse," "Resettable Fuse," "Current Limiting and Non-Current Limiting fuses," and "Current Limiting and Non-Current Limiting."

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In a database management system, a transaction is a logical unit of work.

A transaction is a group of operations that must all succeed or all fail; the database system is in an undefined state if any of the operations fail. Transactions provide reliable consistency for database updates. However, a logical unit of work is a portion of a program that is treated as a single logical unit from the point of view of data updates or queries. The logical unit of work is used in conjunction with transaction management systems to ensure that data updates occur as a single logical unit of work and can be rolled back if any part of the logical unit of work fails. As a result, a transaction is a logical unit of work.

Example: Let's pretend that a student is enrolling in courses. A single transaction would be the entire enrollment process, from logging into the system to selecting courses to registering for them. If any portion of the transaction fails, the entire enrollment process will fail.

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Answer:

The magnitude of a vector →PQ is the distance between the initial point P and the end point Q . In symbols the magnitude of →PQ is written as | →PQ | . If the coordinates of the initial point and the end point of a vector is given, the Distance Formula can be used to find its magnitude.

Explanation:

Answer:

\( \therefore \) The power output of the draw-works motor is 4.36 hp

Explanation:

Given that,

As the problem given, the cable is tied of the top on the oil rig and it wraps around the lower pulley and the top pulley. So, we will be using the formula below:

Differentiate it but with respect to the time. Therefore,

Thus,

Thus, the power output should be

\( P = Fv = \bigg(\frac{600}{2}\bigg) \cdot 8 = 2400 \ lb \cdot ft/s = \frac{2400}{550} = 4.36 \ hp \)

\( \therefore \) The power output of the draw-works motor is 4.36 hp

The 2-4-12 second visual leads explain the time duration for delivering vital information in a movie or presentation, with 2 seconds for attention-getting, 4 seconds for the main message, and 12 seconds for details.

These three "lead times" are conceivable. the 4-second immediate path, the 12-second predicted path, and the 2-second following distance. The 2-second following distance serves as the beginning lead-time. When everything is perfect, that distance is regarded as the minimum.

To avoid colliding with such things, the Department of Motor Vehicles recommends all motorists to adhere to a single regulation. It advises motorists to scan the road at least 12 seconds in advance.

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Answer: ⚠this is not my answer it from hamzaahmeds⚠

Water: h = 35.53 W/m².k

Engine oil: h = 18.84 W/m².k

Mercury: h = 1.19 W/m².k

Explanation:

Assuming the steady state, one-dimensional heat flow, it is clear that the added to the fluid by tube heat will be equal to the heat transfer through convection outside the tube.

Therefore,

mCΔT = hAΔT

mC = hA

h = mC/A

where,

h = convection coefficient

m = mass flow rate =  0.01 kg/s

C = specific heat capacity of fluid

A = surface area of tube = 2πrL = 2π(0.0125 m)(15 m) = 1.178 m²

FOR WATER:

C = 4186 J/Kg.k

Therefore,

h = (0.01 kg/s)(4186 J/Kg.k)/(1.178 m²)

h = 35.53 W/m².k

FOR ENGINE OIL:

C = 2220 J/Kg.k

Therefore,

h = (0.01 kg/s)(2220 J/Kg.k)/(1.178 m²)

h = 18.84 W/m².k

FOR LIQUID MERCURY:

C = 140 J/Kg.k

Therefore,

h = (0.01 kg/s)(140 J/Kg.k)/(1.178 m²)

h = 1.19 W/m².k

Answer:

Explanation:

From the given information:

Strain fracture toughness \(K_k\)= 75 MPa\(\sqrt{m}\)

Tensile stress \(\sigma\) = 361 MPa

Value of Y = 1.03

Thus, the minimum length of the critical interior surface crack which will result to fracture can be determined by using the formula:

\(a_c = \dfrac{1}{\pi} ( \dfrac{k_k}{\sigma Y})^2 \\ \\ a_c = \dfrac{1}{\pi} \Big [ \dfrac{75 \times \sqrt{10^3}}{361 \times 1.03 } \Big]^2 \\ \\ a_c = \dfrac{1}{\pi} \Big [ 6.378474693\Big]^2 \\ \\ \mathbf{ a_c = 12.95 \ mm}\)

The pressure would be doubled (3800psi) as the day heats up because of the sun, the temperature increases to 105°F.

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Using the "See a solution" button to the right after logging in, teachers with accounts can view the available solutions to the majority of levels on the site.

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Answer:

scissors best way 100%

Explanation:

Here, we are required to determine the load the unit exerts on the building in lb (force).

The load exerted on the building by the unit is : 3973.05lb(force).

The load exerted on the building by the cooling unit is the weight of the large cooling unit.

The Force(weight) is therefore equals to:

Force(weight)

= Mass × acceleration due to gravity

Therefore Force(weight) = 1800 × 9.81

Force(weight) = 17,658N.

Ultimately, the Newton unit can be converted to lb(force) by multiplying by the conversion factor.

Since 1N is equal to 0.225lb(force).

Then, 17,658N is equal to17,658× 0.225lb(force)

Therefore, the load exerted on the building by the unit is : 3973.05lb(force).

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Answer:

She chose Peeta to protect her family and friends.

Explanation:

If she chose Gale, her family would've been killed by President Snow. So, she chose Peeta so her mom and sister weren't killed.

Answer:

Because he's obviously the better choice :)

Explanation:

President Snow was mad that both Peeta and Katniss won the Games so they had to act in love to protect their loved ones from Snow. And also, Gale's trash ;)

Answer:

Nhiều kỹ thuật đã được phát triển cho các phép đo áp suất và chân không. Dụng cụ được sử dụng để đo áp suất được gọi là đồng hồ đo áp suất hoặc đồng hồ đo chân không hoặc áp kế.

Một "'áp kế"' cũng có thể được đề cập đến một dụng cụ đo áp suất, thường được giới hạn để đo áp suất gần đến khí quyển. Thuật ngữ "áp kế" thường được sử dụng để chỉ cụ thể để các dụng cụ cột chất lỏng thủy tĩnh.

Đo chân không được sử dụng để đo lường áp suất trong chân không mà được chia thành hai tiểu thể loại, chân không cao và thấp (và đôi khi chân không cực cao). Phạm vi áp suất áp dụng của một số kỹ thuật được dùng để đo chân không có sự chồng chéo lên nhau. Do đó, bằng cách kết hợp nhiều loại khác nhau của đánh giá, nó có thể để đo áp suất hệ thống liên tục từ 10 mbar xuống đến 10 -11 mbar.