The transfer function of the given system, H(S) = 2s + 74 / (s^2 + 11s + 10), can be realized by a parallel connection of two separate systems, System 1 and System 2.
(i) To determine the transfer functions of System 1 and System 2, we can decompose the given transfer function into partial fractions. The transfer function can be written as H(S) = A/(s + a) + B/(s + b), where A and B are constants, and a and b are the poles of the system. By equating the numerators on both sides, we get 2s + 74 = A(s + b) + B(s + a). Equating the coefficients of s, we get 2 = A + B, and equating the constant terms, we get 74 = Ab + Ba. Solving these equations, we can find the values of A, B, a, and b, which will give us the transfer functions of System 1 and System 2.
(ii) The block diagram of the system can be drawn by representing System 1 and System 2 as individual blocks, with their respective transfer functions, and connecting them in parallel. The output of both systems is then combined to form the overall output of the system. The input is applied to both systems simultaneously, and the outputs are summed to obtain the final output of the system.
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Determine whether each of these arguments is valid. If an argument is correct, what rule of inference is being used? If it is not, what logical error occurs? [2 points each] a) If n is a real number such that n > 1, then n2 > 1. Suppose that n2 > 1. Then n > 1. b) If n is a real number with n > 3, then n2 > 9. Suppose that n2 = 9. Then n s 3. c) If n is a real number with n > 2, then n2 > 4. Suppose that ns 2. Then n2 s 4.
The opposite of the implication is the contrapositive of p q, which is identical to (represents the inverse of). A statement's opposite or converse is not the same as the statement's original implication.
What is the reliability of arguments based on inference rules?The conclusion must follow from the truth of the premises for the argument to be considered sound. Building strong arguments uses rules of inference as a guide. We'll look into inference guidelines for many propositions.
What does a rules-of-inference argument look like?The construction of increasingly complicated argument forms will require inference rules, which are all simple argument forms. Example: p should read "It is snowing." If it is snowing, I shall study discrete mathematics, so let q be that.
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Using the correlation for the second virial coefficient (Pitzer correlation), find the molar volume of acetylene vapour at 247.1 K and 13.5 bar, giving your answer to the nearest cm3/mol. The critical temperature is 308.3 K and the critical pressure of acetylene is 61.39 bar. Take R = 8.314 J/mol-K and the acentric factor for acetylene is 0.187.
The molar volume of acetylene vapor at 247.1 K and 13.5 bar, using the Pitzer correlation for the second virial coefficient, is approximately 72.5 cm3/mol.
Explanation:
The Pitzer correlation can be used to estimate the second virial coefficient of a gas. The equation is given by B = (RTc)/(Pc) * (1 + m(1 - (T/Tc)^(0.5))) where B is the second virial coefficient, R is the ideal gas constant, Tc is the critical temperature, Pc is the critical pressure, T is the temperature, and m is the acentric factor.
Plugging in the given values and solving for B, we get B = -0.009413 m3/mol. Then, using the ideal gas law, V = RT/P, we can calculate the molar volume as V = (RT)/P = (8.314 J/mol-K * 247.1 K) / (13.5 bar * 10^5 Pa/bar) ≈ 0.0725 m3/mol ≈ 72.5 cm3/mol.
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What is the driving force behind evolving technology?
is the main factor that drives the evolution of technology.
Creativity and Innovation.
Communication, Innovativeness, knowledge, quality of the product, and motivation...
What sub-discipline of Mechanical Engineering focuses
heavily on vehicle design and testing?
Geothermal Engineering
Automotive Engineering
Biomedical Engineering
Architectural Engineering
Answer:
Automotive engineering
practice marie assembly language. review mnemonics operation code with direct addressing (load, store, jump, add , subt, etc.), indirect addressing (loadi, storei, jumpi, addi, etc.), conditional branch (skipcond), function (jns), i/o and array access. program specifications: write a simple marie assembly program to allow user to enter array elements, calculate the sum, print each element and sum.
To practice Marie assembly language, it is important to review mnemonics operation codes with direct addressing such as load, store, jump, add, subt, etc.
Additionally, understanding indirect addressing with loadi, storei, jumpi, addi, and more can also be helpful. Knowledge of conditional branches with skipcond, functions with jns, and i/o is necessary as well.
To write a simple Marie assembly program that allows the user to enter array elements, calculate the sum, print each element, and the sum, the following steps can be taken:
1. Define the array and its size
2. Prompt the user to enter the elements of the array
3. Use a loop to iterate through the array and calculate the sum
4. Print each element of the array
5. Print the sum of the array elements
Overall, this program can help to improve the understanding of Marie assembly language and its practical application. It is important to remember to use mnemonics and operation codes appropriately, and to thoroughly test the program to ensure it works as intended.
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A horizontal force P is applied to a 130 kN box resting on a 33 incline. The line of action of P passes through the center of gravity of the box. The box is 5m wide x 5m tall, and the coefficient of static friction between the box and the surface is u=0.15. Determine the smallest magnitude of the force P that will cause the box to slip or tip first. Specify what will happen first, slipping or tipping.
Answer:
SECTION LEARNING OBJECTIVES
By the end of this section, you will be able to do the following:
Distinguish between static friction and kinetic friction
Solve problems involving inclined planes
Section Key Terms
kinetic friction static friction
Static Friction and Kinetic Friction
Recall from the previous chapter that friction is a force that opposes motion, and is around us all the time. Friction allows us to move, which you have discovered if you have ever tried to walk on ice.
There are different types of friction—kinetic and static. Kinetic friction acts on an object in motion, while static friction acts on an object or system at rest. The maximum static friction is usually greater than the kinetic friction between the objects.
Imagine, for example, trying to slide a heavy crate across a concrete floor. You may push harder and harder on the crate and not move it at all. This means that the static friction responds to what you do—it increases to be equal to and in the opposite direction of your push. But if you finally push hard enough, the crate seems to slip suddenly and starts to move. Once in motion, it is easier to keep it in motion than it was to get it started because the kinetic friction force is less than the static friction force. If you were to add mass to the crate, (for example, by placing a box on top of it) you would need to push even harder to get it started and also to keep it moving. If, on the other hand, you oiled the concrete you would find it easier to get the crate started and keep it going.
Figure 5.33 shows how friction occurs at the interface between two objects. Magnifying these surfaces shows that they are rough on the microscopic level. So when you push to get an object moving (in this case, a crate), you must raise the object until it can skip along with just the tips of the surface hitting, break off the points, or do both. The harder the surfaces are pushed together (such as if another box is placed on the crate), the more force is needed to move them.
an anvil-shaped top is most often associated with:
An anvil-shaped top is most often associated with severe thunderstorms and supercell thunderstorms.
In more detail, an anvil-shaped top refers to the cloud formation that resembles the shape of an anvil. It is typically observed at the top of severe thunderstorms, particularly those that develop into supercell thunderstorms. Supercell thunderstorms are powerful, long-lasting storms characterized by a rotating updraft called a mesocyclone. The anvil-shaped top is a distinctive feature of supercells due to the strong updrafts and atmospheric conditions present within these storms.
The anvil-shaped top forms as the updraft within the thunderstorm reaches the tropopause, which is the boundary between the troposphere and the stratosphere. At this boundary, the updraft encounters a stable layer of the atmosphere and spreads horizontally, forming the characteristic anvil shape. The anvil top consists of ice crystals and can extend a significant distance downwind from the storm's main updraft.
The presence of an anvil-shaped top indicates a mature and potentially severe thunderstorm. It signifies a strong updraft, intense convective activity, and the potential for severe weather phenomena such as large hail, damaging winds, and tornadoes. Meteorologists often use the presence and characteristics of an anvil-shaped top to identify and track severe thunderstorms and assess their potential for severe weather hazards.
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g The inside surface of a 17 mm inner diameter tube with a 2.4 mm thick wall indicates a temperature of 46 deg C. The outside temperature is 43 deg C. The tube is 5 m long. If the tube material has a conductivity of 0.15 W/m/K, estimate the heat transfer rate through the tube wall assuming SS 1D conduction. Indicate the direction of heat transfer with a or - sign ( meaning outward and vice versa). Express your answer using two significant digits in W.
Answer:
-50 W
Explanation:
The heat transfer rate Q = kA(T₂ - T₁)/d where k = thermal conductivity of material = 0.15 W/m-K, A = surface area of tube = πdL where d = diameter of tube = 17 mm = 0.017 m and L = length of tube = 5 m, T₁ = inside temperature = 46 °C, T₂ = outside temperature = 43 °C and d = thickness of tube = 2.4 mm = 0.0024 m
Since Q = kA(T₂ - T₁)/d ,
Q = kπdL(T₂ - T₁)/d
substituting the values of the variables into the equation, we have
Q = 0.15 W/m-K × π × 0.017 m × 5 m(43 °C - 46 °C )/0.0024 m
Q = 0.01275π Wm/K(-3 K )/0.0024 m
Q = -0.03825π Wm/0.0024 m
Q = -0.1202 Wm/0.0024 m
Q = -50.07 W
Q = -50 W
So, the heat transfer rate is -50 W meaning heat transfer out of the tube.
A method of coupling tubing without welds, solderor leaks is the use of
A method of coupling tubing without welds, solder or leaks is the use of a fitting or adapter.
What is a an fitting?The term fitting is seen as a form of Flexible hoses and metal tubing used to transport fluids are connected together and this is through the use of AN fittings, that is a specific kind of fitting.
Note that Fittings are typically used in conjunction with standards that are similar to act as a link between two threads that aren't naturally compatible. A fitting is required in order to connect a hose to a pump. The pump must be connected to an adaptor in order to connect to many hoses, each of which may have a different standard.
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The smaller the grinder, the _______ the speed it turns
Answer:
faster
Explanation:
because in a big grinder you ca only grind bigger things but not Small things , some parts of your things that will
remain as they were in the beginning, so it will take more time to grind Small things .
when an engine that has a full feathering hartzell propeller installed is shut down on the ground what component prevents the blades from feathering
A part that stops the blades from feathering is a latch mechanism made of springs and lock pins.
How does a propeller that feathers operate?A mechanism in feathering propellers allows the pitch to be adjusted to an angle of around 90 degrees. A propeller is typically feathered when the engine is unable to generate enough power to turn it. The drag on the aircraft is decreased by angling the propeller parallel to the direction of flight.
What happens when the engine is feathered?Feathing is the term used to describe this procedure. On an engine that has failed or has been turned off on purpose, feathering the propeller during flight significantly minimizes the drag that would result from the blade pitch in any other state.
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A copper block receives heat from two different sources: 5 kW from a source at 1500 K and 3 kW from a source at 1000 K. It loses heat to atmosphere at 300 K. Assuming the block to be at steady state, determine (a) the net rate of heat transfer in kW; (b) the rate of entropy generation in the system's universe
Answer:
a) Zero
b) the rate of entropy generation in the system's universe = ds/dt = 0.2603 KW/K
Explanation:
a) In steady state
Net rate of Heat transfer = net rate of heat gain - net rate of heat lost
Hence, the rate of heat transfer = 0
b) In steady state, entropy generated
ds/dt = - [ Qgain/Th1 + Qgain/Th2 - Qlost/300 K]
Substituting the given values, we get –
ds/dt = -[5/1500 + 3/1000 – (5+3)/300]
ds/dt = - [0.0033 + 0.003 -0.2666]
ds/dt = 0.2603 KW/K
A farmer has 12 hectares of land on which he grows corn, wheat, and soybeans. It costs $4500 per hectare to grow corn, $6000 to grow wheat, and $5000 to grow soybeans. Because of market demand the farmer will grow twice as many hectares of wheat as corn. He has allocated $6,375,000.00 for the cost of growing his crops. How many hectares of each crop should he plant?
The number of hectares of each crop he should plant are; 250 hectares of Corn, 500 hectares of Wheat and 450 hectares of soybeans
How to solve algebra word problem?
He grows corn, wheat and soya beans on the farm of 1200 hectares. Thus;
C + W + S = 12 ----(1)
It costs $45 per hectare to grow corn, $60 to grow wheat, and $50 to grow soybeans. Thus;
45C + 60W + 50S = 63750 -----(2)
He will grow twice as many hectares of wheat as corn. Thus;
W = 2C ------(3)
Put 2C for W in eq 1 and eq 2 to get;
C + 2C + S = 1200
3C + S = 1200 -----(4)
45C + 60(2C) + 50S = 63750
45C + 120C + 50S = 63750
165C + 50S = 63750 ------(5)
Solving eq 4 and 5 simultaneosly gives;
C = 250 and W = 500
Thus; S = 1200 - 3(250)
S = 450
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If substance A has molecules moving at a high rate and substance B has molecules moving at a low rate, which substance has the lower temperature?
Answer:
substance B
Explanation:
Rocks in mountains can be weathered by breaking them apart. How can they be eroded?
A. Pieces of rocks are moved by the deep roots of plants.
B. Pieces of rocks are moved by water and gravity.
C. Rocks expand by the temperature changes in the mountains.
D. Rocks are smoothed by the flowing water and ice.
NO LINKS PLEASE!
Answer: If you look up its definition of eroded it'll tell you the answer should be B
Explanation:
The rigid bar is supported by the pin-connected rod CB that has a cross-sectional area of 14mm^2 and is made from 6061-T6 aluminum. Determine the vertical deflection of the bar at D when the distributed load is applied
The vertical deflection of the bar at D can be determined by using the equation for deflection of a beam with a distributed load.
First, we need to calculate the moment of inertia (I) of the rod CB. The moment of inertia for a circular cross-section is given by:
I = (pi/4) * r^4
Where r is the radius of the cross-section. In this case, the cross-sectional area of the rod is 14mm^2, so we can calculate the radius as follows:
14mm^2 = (pi/4) * r^2
r = sqrt((14mm^2 * 4)/pi) = 2.12mm
Now we can calculate the moment of inertia:
I = (pi/4) * (2.12mm)^4 = 39.9mm^4
Next, we need to calculate the elastic modulus (E) of the 6061-T6 aluminum. The elastic modulus for this material is typically around 68.9 GPa (68.9 x 10^9 Pa).
Now we can use the equation for deflection of a beam with a distributed load to calculate the vertical deflection at D:
delta = (5/384) * (w * L^4)/(E * I)
Where delta is the vertical deflection, w is the distributed load, L is the length of the beam, E is the elastic modulus, and I is the moment of inertia. In this case, we have:
delta = (5/384) * (w * (0.8m)^4)/(68.9 x 10^9 Pa * 39.9mm^4)
Simplifying and converting units gives:
delta = (5/384) * (w * (800mm)^4)/(68.9 x 10^9 Pa * 39.9mm^4) = (1.05 x 10^-6) * w
Therefore, the vertical deflection of the bar at D is given by:
delta = (1.05 x 10^-6) * w
Where w is the distributed load in N/m.
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The dispersal of production activities to locations that help a company achieve its cost-minimization or quality-maximization objectives for a good or service is known as ________.
The dispersal of production activities to locations that help a company achieve its cost-minimization or
quality-maximization objectives for a good or service is known as "global sourcing" or "offshoring."Global sourcing refers to the practice of seeking and utilizing resources, including production facilities, materials, labor, or services, from different locations around the world to optimize costs or enhance quality. It involves identifying and selecting the most suitable locations or suppliers based on factors such as labor costs, expertise, infrastructure, regulations, and market access.
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A plant has ten machines and currently operates two 8-hr shift per day, 5 days per week, 50 weeks per year. the ten machines produce the same part each at a rate of 30 pc/hr. (a) determine annual production capacity of this plant. (b) if the plant were to operate three 8-hr shifts per day, 6 days per week, 51 weeks per year, determine the annual percentage increase in plant capacity
Answer:
83.6%
Explanation:
(a)On its current schedule, the plant can theoretically produce ...
(30 pc/h/machine)(10 machine)(8 h/shift)(2 shift/day)(5 day/wk)(50 wk/yr)
= (30)(10)(8)(2)(5)(50) pc/yr = 1,200,000 pc/yr
__
(b)On the proposed schedule, this production becomes ...
(30 pc/mach)(10 mach)(8 h/sh)(3 sh/da)(6 da/wk)(51 wk/yr)
= (30)(10)(8)(3)(6)(51) pc/yr = 2,203,200 pc/yr
The increase in capacity is ...
(2,203,200/1,200,000 -1) × 100% = 83.6% . . . capacity increase
_____
Additional comment
The number of parts per shift did not change. Only the number of shifts per year changed. It went up by a factor of (3/2)(6/5)(51/50) = 1.836. Hence the 83.6% increase in capacity.
We have to assume that maintenance and repair are done as effectvely as before in the reduced down time that each machine has.
I really need help on this!
Which of the following is a term for a comparison between product metrics and values to industry standards and competitions metrics and values?
A: ideal value
B: competitive analysis
C: benchmark
D: marginally accepted value
How to increase air traffic control revenues in air transportation
The ways to increase air traffic control revenues in air transportation are given below in explanation part.
Several ways might be taken into consideration to raise air traffic control revenues:
Infrastructure Modernization and Expansion: By improving capacity and efficiency, air traffic control systems and infrastructure can handle more passengers and provide better services.
Implement performance-based navigation (PBN): PBN is a navigational concept that enables aeroplanes to use satellite-based systems to fly more direct routes.
Offer Value-Added Services: In addition to standard control and surveillance duties, air traffic control authority can provide value-added services.
Thus, it is vital to remember that efficient air traffic management, safety, and security should constantly be balanced with revenue generating.
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Consider the following chain-reaction mechanism for the high-temperatureformation of nitric oxide, i.e., the Zeldovich mechanism:
O + N2------ NO + N Reaction 1
N + O2------ NO + O Reaction 2
A. Write out expressions for d[NO] / dt and d[N] / dt.
B. Assuming N atoms exist in steady state and that the concentrations of O, O2, and N2 are at their equilibrium values for a specified temperature and composition, simplify your expression obtainedabove for d[NO] / dt for the case of negligible reverse reactions.(Answer: d[NO]/d 2 [O] [N ] . 1 2 t k f eq eq = )
C. Write out the expression for the steady-state N-atom concentrationused in part B.
D. For the conditions given below and using the assumptions of part B,how long does it take to form 50 ppm (mole fraction â 106) of NO?
T = 2100 K,
rho = 0.167 kg/m
MW = 28.778 kg/ kmol,
Xo,eq = 7.6.10 (mole fraction),
Xo2,eq = 3.025.10^-3 (mole fraction),
Xn2,eq = 0.726 (mole fraction),
k1f = 1.82.10^14 exp[-38,370/T(K)] with units of cm/gmo
Calculate the value of the reverse reaction rate coeffi cient for the fi rstreaction, i.e., O +â + N NO 2 N, for a temperature of 2100 K.F. For your computations in part D, how good is the assumption thatreverse reactions are negligible? Be quantitative.G. For the conditions of part D, determine numerical values for [N] and ÏN.(Note: k2 f = 1.8 â 1010 T exp(â4680 / T) with units of cm3/ gmol-s.)
Answer is in the photo. I can only upload it to a file hosting service. link below!
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In the Powerball game, five different numbers between 1 and 59 will be drawn in succession, and then one number (the Powerball number) between 1 and 35 will be drawn. The player marks five different numbers between 1 and 59 and one number between 1 and 35 on a game card.a. What is the size of the sample space?b. What is the probability of matching all five numbers in any order plus matching the Powerball number?c. What is the probability of matching none of the five numbers but matching the Powerball number?
For letter a, we find that the sample space size is 175,223,510. For letter b the probability is 1 in 175,223,510. And for the letter c, the probability of hitting the Powerball number is 1 in 5,006,386.
How to calculate the probability?For the letter a, we need to find the total number of ways to pick five numbers from 1 to 59 and then multiply that by the number of choices for the Powerball number. Using the combination formula, we get:
C(59.5)x35 = 5,006,386x35 = 175,223,510As for the letter b, the probability of matching all five numbers in any order plus hitting the Powerball number can be calculated by dividing the number of ways to win by the size of the sample space:
1/175,223,510 ≈ 0.0000006 or 1 in 175,223,510And for the letter c, the probability of picking none of the five numbers but hitting the Powerball number is the probability of picking a number between 1 and 35 correctly and not picking any of the five numbers between 1 and 59. The number of ways to do this is:
C(59.0)xC(35.1) = 1x35 = 35Therefore, the probability of matching none of the five numbers but matching the Powerball number is:
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Frame 4 questions about the challenges that astronauts have to face in space.
Answer:
Lack of oxygen
Decompression sickness
temperature variation
lack of gravity
Cosmic radiations hazards
motion sickness
Explanation:
When an astronaut travels in the space he is aware of the challenges he might face during his journey. There are various test and rehearsals of travelling before a final travel takes place. An astronaut goes through many challenges which includes lack of oxygen supply, decompression and motion sickness. There is no gravity in space so an astronaut will have to be aware of the difficulties he might face during his travel. An hour on earth is 7 years long in space, so an astronaut should have patience and be able to deal with time variation.
PLEASE HELP!!!
What was Amelia Earhart was the first woman to accomplish?
A Flying around the world
B Flying solo across the Atlantic
C Inventing a jumpsuit for female pilots
D Flying across the English Channel
Answer:
B!
Explanation:
Answer:
B. Flying solo across the atlantic
Explanation:
history class
Sometimes, steel studs may not be used on outside walls because they are?
Answer:
We can describe 15×-10 as an expression. we would describe 6×-2< 35 as an...
Explanation:
We can describe 15×-10 as an expression. we would describe 6×-2< 35 as an...
Which of the following is an example of a tax
Answer:
A tax is a monetary payment without the right to individual consideration, which a public law imposes on all taxable persons - including both natural and legal persons - in order to generate income. This means that taxes are public-law levies that everyone must pay to cover general financial needs who meet the criteria of tax liability, whereby the generation of income should at least be an auxiliary purpose. Taxes are usually the main source of income of a modern state. Due to the financial implications for all citizens and the complex tax legislation, taxes and other charges are an ongoing political and social issue.
I dont know I asked this to
Explanation:
A recessed luminaire bears no marking indicating that it is ""Identified for Through- Wiring."" Is it permitted to run branch-circuit conductors other than the conductors that supply the luminaire through the integral junction box on the luminaire?
Answer:
No it is not permitted
Explanation:
It is not permitted because as per NEC 410.21 policy no other conductor is allowed to be passed through integral junction box luminaries unless such conductor supply recessed luminaries.
The marking will show that the Luminaries is of the right construction or right installation to ensure that the the conductors ( in the outer boxes ) will not be exposed to temperatures greater than the conductor rating, hence the lack of marking makes it not to be permitted.
Responding to the campaign of 4 classes, 7A, 7B, 7C, 7D contributed the amount of support proportional to the numbers 8,6;7;5 knowing the total amount of the two classes 7A, 7B is more than 7D 810 thousand VND sso the money each class has contributed
Writing life on my fantasy planet
6.
A mobile welding machine of mass 80 kg was rolling freely on a horizontal surface
at speed of 5 m/s when locks to its castor wheels are applied, causing all four wheels
to stop rotating. The machine skidded a distance s-4 m before coming to rest.
Determine
the magnitude of normal reaction of each wheel
(b) the coefficient of kinetic friction between the wheels and the ground.
The magnitude of reaction for the wheel is 250 N. The coefficient of kinetic energy between the wheel and ground is 0.32.
What is friction?
The friction is given as the stop force acted by the surface to the moving object.
For the calculation of magnitude of normal reaction:\(v^2=u^2+2as\)
Substituting the values of the initial velocity (u), final velocity (v) and the distance (s) at the contactless surface, the acceleration is given as:
\(0=(5)^2+2a\;\times\;4\\a=3.125\;\rm m/s^2\)
The force can be given as:
\(F=ma\\F=80\;\text{kg}\;\times\;3.125\; \rm {m/s^2}\\\textit F=250\;N\)
The magnitude of reaction for the wheel is 250 N.
The coefficient of friction (\(\mu_k\)) is given as:\(\mu_kmgs=\dfrac{1}{2}mv^2\\\)
Substituting the values:
\(\mu_k\;\times\;80\;\times\;9.8\;\times\;4=\dfrac{1}{2}\;\times\;80\;\times\;5^2\\\mu_k=\dfrac{5^2}{2\;\times\;9.8\;\times\;4}\\\mu_k=0.32\)
The coefficient of kinetic energy between the wheel and ground is 0.32.
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NEED IT URGENT IN C++/JAVA. PLEASE DO IT FAST.
Given a LinkedList, where each node contains small case characters, you he asked to form a strong password is chancers & the one in which no two characters are repeating The output password must be a continuous subset of the given Lidd Find the length of the strongest password that can be formed using the input takes
Example 1
inputs - abc-abc>bəb
Output 3
Explanation: The ariewer is abc, with the length of 3.
Example 2:
Input spowow>k->e-w
Output 3
Explanation: The answer is w-k-e, with the length of 3 Notice that the answer must be a continuous subset, powke is a subset and not a continuous subset
Expected Time Complexity: O(n)
Expected Space Complexity: O(1)
The time complexity of this solution is O(n), where n is the length of the input string, as we iterate through the string once. The space complexity is O(1), as the extra space used is constant regardless of the input size.
Here's the solution in Java that meets the given requirements:
import java.util.*;
public class StrongPasswordSubset {
public static int findStrongPasswordSubsetLength(String input) {
int maxLength = 0;
int currentLength = 0;
int[] charCount = new int[26];
for (int i = 0; i < input.length(); i++) {
char c = input.charAt(i);
if (charCount[c - 'a'] > 0) {
Arrays.fill(charCount, 0);
currentLength = 0;
}
charCount[c - 'a']++;
currentLength++;
maxLength = Math.max(maxLength, currentLength);
}
return maxLength;
}
public static void main(String[] args) {
String input1 = "abc-abc>bəb";
int result1 = findStrongPasswordSubsetLength(input1);
System.out.println("Input: " + input1);
System.out.println("Output: " + result1);
String input2 = "spowow>k->e-w";
int result2 = findStrongPasswordSubsetLength(input2);
System.out.println("Input: " + input2);
System.out.println("Output: " + result2);
}
}
This solution uses an array charCount to keep track of the count of each character encountered so far. Whenever a character is encountered that has already appeared before, it resets the charCount array and the current length of the subset. The maximum length seen so far is updated at each step. The final result is the maximum length of the strong password subset.
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