Prove the following entailment in three different ways. a) Prove that (A → ¬B) = b) Prove that (A → ¬B) = c) Prove that (A → ¬B) = (BA A) with truth tables. [2 points] (BA A) with logical equivalences. [2 points] (BA A) with the resolution algorithm. [3 points]

Answers

Answer 1

Answer:

To prove (A → ¬B) = (BA A), we can use the following three methods:

Method 1: Truth tables

Constructing the truth tables for both propositions, we get:

A | B | ¬B | A → ¬B | BA A | (A → ¬B) = (BA A)

-----------------------------------------------

T | T |  F |    F    |  T  |           F

T | F |  T |    T    |  T  |           T

F | T |  F |    T    |  F  |           F

F | F |  T |    T    |  F  |           F

Since both truth tables have identical truth values for each row, we can conclude that (A → ¬B) = (BA A) is a logically valid proposition.

Method 2: Logical equivalences

Using logical equivalences, we can transform (BA A) into (A → (¬B)), as follows:

BA A = ¬B ∨ A          (definition of material implication)

   = A → ¬B         (definition of material implication)

Therefore, (A → ¬B) = (BA A) is a logically valid proposition.

Method 3: Resolution algorithm

Using the resolution algorithm, we can derive the empty clause from the negation of (A → ¬B) = (BA A), as follows:

1. ¬(A → ¬B) ∨ BA A              (negation of (A → ¬B) = (BA A))

2. ¬(¬A ∨ ¬B) ∨ BA A            (definition of material implication)

3. (A ∧ B) ∨ BA A                (De Morgan's law)

4. (B ∨ BA) ∧ (A ∨ BA)           (distribution)

5. (A ∨ BA) ∧ (B ∨ BA)           (commutativity)

6. (¬A ∨ BA) ∧ (¬B ∨ BA)         (De Morgan's law)

7. (¬B ∨ ¬A ∨ BA) ∧ (B ∨ ¬A ∨ BA) (distribution)

8. (¬B ∨ BA) ∧ (B ∨ ¬A ∨ BA)     (resolution on clauses 6 and 7)

9. BA                             (resolution on clauses 5 and 8)

10. ¬BA ∨ BA                     (

Explanation:


Related Questions

why do some airplanes begin to roll during transonic flight, when they don’t show any rolling tendency during subsonic flight

Answers

The phenomenon of airplanes experiencing rolling tendencies during transonic flight can be attributed to the aerodynamic effects of compressibility and shock waves.

The airflow around the wings remains mainly connected and smooth during subsonic flight when the airplane's speed is less than the speed of sound. The lift created by the wings is generally uniform, resulting in steady flying with minimal rolling.

These shock waves and supersonic zones can generate an uneven distribution of lift along the wings, causing a transonic buffet. Because of the unequal lift distribution, the airplane may display rolling tendencies that were not evident during subsonic flight.

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If a construction company is considering a new type of material to use in their construction, which factors would they
focus on? (Select all that apply.)
that the new material does the same thing as an existing material but better
that the new material does the same thing as an existing material but cheaper
that the science behind the material be familiar to and understood by its employees
that the properties of the new material meet their construction needs

Answers

I would honestly select every one of the given options. Gor a company evaluating this new material it would be very valuable to hit each of these factors.

What does the line strung between the batter boards represent?

Answers

Batter boards (or battre boards, Sometimes mispronounced as "battle boads") are temporary frames, set beyond the corners of a planned foundation at precise elevations. These batter boards are then used to hold layout lines (construction twine) to indicate the limits (edges and corners) of the foundation.

Batter boards are temporary boards set up so string lines can be attached between them. These lines represent the final height, length and depth of the slab. Drive some stakes into the ground next to the batter boards you just placed on the ground.

For the beam loaded as shown in Fig Q2a. perform the following task:
Calculate the support reactions at A and E;
(i)
Draw the shear force diagram for the beam showing all important
values;
>
(iii)
Draw the bending moment diagram for the beam showing all
important values.
6 kN
10 KN
2 kN/m
B
D
1 m
1 m
1 m
1 m

Answers

Answer:

a

Explanation:

aaaaaa

An LTI system is described by the following difference equalion: y[n]=x[n]−2x[n−1]+x[n−2] Determine the output y[n] of the system, if the input x[4] is: (i) x[n]=δ[n] (ii) x[n]=δ[n−1]+δ[n+1]

Answers

The output y[n] for the input x[n] = δ[n] is y[n] = 0 for n ≠ 4 and y[4] = 1.

The output y[n] for the input x[n] = δ[n-1] + δ[n+1] is y[n] = 0 for n ≠ 4 and y[4] = -2.

To determine the output y[n] of the LTI system, we substitute the given input values into the difference equation.

(i) For the input x[n] = δ[n]:

Since δ[n] represents the unit impulse function, we have x[4] = δ[4] = 0 when n ≠ 4, and x[4] = δ[0] = 1 when n = 4.

Using the difference equation y[n] = x[n] - 2x[n-1] + x[n-2], we can calculate the output for each value of n:

For n ≠ 4:

y[n] = x[n] - 2x[n-1] + x[n-2] = 0 - 2(0) + 0 = 0

For n = 4:

y[4] = x[4] - 2x[3] + x[2] = 1 - 2(0) + 0 = 1

Thus, the answer is y[n] = 0 for n ≠ 4 and y[4] = 1.

(ii) For the input x[n] = δ[n-1] + δ[n+1]:

Using the same difference equation, we can calculate the output for each value of n:

For n ≠ 4:

y[n] = x[n] - 2x[n-1] + x[n-2] = 0 - 2(0) + 0 = 0

For n = 4:

y[4] = x[4] - 2x[3] + x[2] = 0 - 2(1) + 0 = -2

Thus, the answer is y[n] = 0 for n ≠ 4 and y[4] = -2.

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The output y[n] for the input x[n] = δ[n] is y[n] = 0 for n ≠ 4 and y[4] = 1.

The output y[n] for the input x[n] = δ[n-1] + δ[n+1] is y[n] = 0 for n ≠ 4 and y[4] = -2.

To determine the output y[n] of the LTI system, we substitute the given input values into the difference equation.

(i) For the input x[n] = δ[n]:

Since δ[n] represents the unit impulse function, we have x[4] = δ[4] = 0 when n ≠ 4, and x[4] = δ[0] = 1 when n = 4.

Using the difference equation y[n] = x[n] - 2x[n-1] + x[n-2], we can calculate the output for each value of n:

For n ≠ 4:

y[n] = x[n] - 2x[n-1] + x[n-2] = 0 - 2(0) + 0 = 0

For n = 4:

y[4] = x[4] - 2x[3] + x[2] = 1 - 2(0) + 0 = 1

Thus, the answer is y[n] = 0 for n ≠ 4 and y[4] = 1.

(ii) For the input x[n] = δ[n-1] + δ[n+1]:

Using the same difference equation, we can calculate the output for each value of n:

For n ≠ 4:

y[n] = x[n] - 2x[n-1] + x[n-2] = 0 - 2(0) + 0 = 0

For n = 4:

y[4] = x[4] - 2x[3] + x[2] = 0 - 2(1) + 0 = -2

Thus, the answer is y[n] = 0 for n ≠ 4 and y[4] = -2.

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Un grupo de trabajadores tenia un rendimiento poco satisfactorio. Elena trabajo varias noches para poner por escrito las metas que deberian cumplir sus subordinados. Les especifico a cada uno de ellos su tarea de produccion y les conmino a cumplir a como diera lugar. que tipo de lider es?

Answers

Answer:

Elena es una líder de tipo autoritario.

Explanation:

El liderazgo autoritario representa el control individual por parte del líder de la toma de decisiones y el proceso de elección y planificación en una determinada organización.

En este liderazgo no se promueve la participación efectiva del equipo en los proyectos, solo el líder toma todas las decisiones necesarias y generalmente oprime a sus subordinados. Así, genera muchas veces situaciones de tensión y agotamiento entre los empleados y demás subordinados.

In terms of cars technology, does luxury equal safety, yes or no and why?

Answers

Since they are built to prevent collisions and offer more sophisticated safety and driver assistance features, luxury cars have a reputation for being among the safest automobiles on the road.

Are all automobiles similarly safe?

Vehicles of all sizes are now safer because to advances in crash safety, yet even with these advancements, larger vehicles continue to be safer than smaller ones. Deaths in crashes decrease as vehicle size grows, as shown in the chart below.

What distinguishes expensive automobiles from everyday vehicles?

Engines, transmissions, sound systems, telematics, safety features, and other equipment that aren't included in lower-priced models are frequently found in luxury cars, along with a plethora of other luxuries.

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10.16.1: LAB: Interstate highway numbers (Python)


Primary U.S. interstate highways are numbered 1-99. Odd numbers (like the 5 or 95) go north/south, and evens (like the 10 or 90) go east/west. Auxiliary highways are numbered 100-999, and service the primary highway indicated by the rightmost two digits. Thus, I-405 services I-5, and I-290 services I-90.


Given a highway number, indicate whether it is a primary or auxiliary highway. If auxiliary, indicate what primary highway it serves. Also, indicate if the (primary) highway runs north/south or east/west.


Ex: If the input is:


90


the output is:


I-90 is primary, going east/west.


Ex: If the input is:


290


the output is:


I-290 is auxiliary, serving I-90, going east/west.


Ex: If the input is:


0


the output is:


0 is not a valid interstate highway number.


----------------------------------------------------------------------------

The code I have is:


highway_number = int(input())


if 1 <= highway_number <= 999:

if highway_number <= 99:

if highway_number % 2 == 0:

print("I-" + str(highway_number) + " is primary, going east/west.")

else:

print("I-" + str(highway_number) + " is primary, going north/south.")


else:

primary_number = highway_number

highway_number %= 100

if highway_number % 2 == 0:

print("I-" + str(primary_number) + " is auxiliary, serving I-" + str(highway_number) + ", going east/west.")

else:

print("I-" + str(primary_number) + " is auxiliary, serving I-" + str(highway_number) + ", going north/south.")

else:

print(str(highway_number) + " is not a valid interstate highway number.")

--------------------------------------------------------------------------------------------------------------

How do I get 200 to say it is not a valid interstate highway number?

Answers

Hope it helps. Thanks
10.16.1: LAB: Interstate highway numbers (Python)Primary U.S. interstate highways are numbered 1-99.

The program is an illustration of conditional statements.

The program in Python where comments are used to explain each line is as follows:

highwayNumber = int(input("Highway number: "))

#This checks if the highwayNumber is not between 1 and 999 (inclusive)

if (highwayNumber <1 or highwayNumber > 999):

   #If yes, the highwayNumber is invalid

   print(str(highwayNumber)+" is not a valid interstate highwayNumber number.")

#If otherwise

else:

   #This checks if highwayNumber is less than 100

   if (highwayNumber< 100):

       if (highwayNumber%2 == 0):

           #Even highwayNumber are primary going east/west

           print("I-"+str(highwayNumber)+" is primary, going east/west.")

       else:

           #Odd highwayNumber are primary going north/south

           print("I-"+str(highwayNumber)+" is primary, going north/south.")

   #Otherwise

   else:

       if ((highwayNumber%100) % 2 == 0):

           #Even highwayNumber are auxiliary going east/west

           print("I-"+str(highwayNumber)+" is auxiliary, going east/west.");

       else:

           #Even highwayNumber are auxiliary going north/south

           print("I-"+str(highwayNumber)+" is auxiliary, going north/south.");

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air enters a compressor steadily at 1 bar, 290k, and 6 m/s through an inlet duct with an area of 0.1 m2. air exits the compressor at 7 bar, 450k, and 2 m/s. there is heat loss from the compressor at a rate of 180 kj/min. determine the power required to drive the compressor in kw

Answers

The compressor's efficiency must be taken into account; it is equivalent to 0.72, resulting in a needed power of 156*0.72 = 216.8 kW.

The compressor motor nameplate on the majority of industrial three phase air compressors will indicate the line voltage, which is commonly 240 V or 480 V. In our experience, the power factor of 50 to 150 horsepower compressors is approximately 85% when operating normally1. The amount of air the device can pump out is known as the compressor capacity. Compressor capacity and pressure may be easily distinguished from one another since the former reveals "how much" and the latter measures "how strong." the proportion between the maximum compressor load and the average compressor load for a given time period.

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Transport of airborne toxicants, a specific problem in agricultural environments, is called pesticide ________. Group of answer choices globalization leaching drift transposition run-off

Answers

Pesticide drift refers to the movement of airborne toxicants from their intended target area to other non-target areas, which can be a specific problem in agricultural environments.

Pesticide drift can occur due to various factors such as wind direction, application methods, and weather conditions. The unintended movement of pesticides can lead to contamination of soil, water, and air, which can have adverse effects on human health and the environment.

Pesticide drift refers to the unintentional movement of pesticide particles from the target area to non-target areas due to various factors, such as wind or evaporation. This can cause damage to nearby plants, animals, and human health.

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technician A says that many port fuel-injection systems on four-cylinder engines use a simultaneous firing of injectors. Technician B says that sequential fuel injectors are timed and pulsed individually, much like the spark plugs are sequentially operated in firing order of the engine. Who is correct

Answers

In the two scenario above concerning port fuel-injection and sequential fuel injectors, only Technician b is correct.

How many injectors can be found in a 4 cylinder?

A vehicle often has one fuel injector per cylinder and if one has a four-cylinder car, it would also have four fuel injectors.

Note that Fuel-pressure regulators that are found on a port fuel-injected systems is one that often work with injector pressures that is said to be of 30 to 55 PSI.

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A closed vessel of volume 80 litres contains 0.5 N of gas at a pressure of 150 kN/m2. If the gas is compressed isothermally to half its volume, determine the resulting pressure.

Answers

Answer:

The resulting pressure of the gas when its volume decreases is 300 kN/m².

Explanation:

Given;

initial volume of the gas, V₁ = 80 L

number of moles of the gas, n = 0.5 moles

initial pressure of the gas, P₁ = 150 kN/m² = 150 kPa

Determine the constant temperature of the gas using ideal gas equation;

PV = nRT

where;

R is ideal gas constant = 8.315 L.kPa/K.mol

T is the constant temperature

\(T = \frac{P_1V_1}{nR} \\\\T = \frac{150.kPa \ \times \ 80 .L}{0.5 .mol \ \times \ 8.315(L.kPa/mol.K)} \\\\T = 2,886.35 \ K\)

When the gas is compressed to half of its volume;

new volume of the gas, V₂ = ¹/₂ V₁

                                             = ¹/₂ x 80L = 40 L

The new pressure, P₂ is calculated as;

\(P_2V_2 = nRT\\\\P_2 = \frac{nRT}{V_2} \\\\P_2 = \frac{0.5 \times 8.315\times 2886.35}{40} \\\\P_2 = 300 \ kPa = 300 \ kN/m^2\)

Therefore, the resulting pressure of the gas when its volume decreases is 300 kN/m².

Semiconductor pn junction diode and zener diode quiz questions

Answers

1.) A semiconductor is a device whose conductivity lies between the conductivity of the conductors and the insulators.

2.) A Zener diode is a semiconductor device made of silicon that allows current to flow in both directions.

What is a semiconductor?

A semiconductor is a device whose conductivity lies between the conductivity of the conductors and the insulators.

Due to the inclusion of an impurity or temperature effects, a solid substance with conductivity between that of an insulator and that of most metals. Semiconductor devices, particularly silicon devices, are key components of most electronic circuits.

Zener diode:-

A Zener diode is a semiconductor device made of silicon that allows current to flow in both directions.

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Which type of software is designed to meet the specific requirements or an individual or organizations​

Answers

Answer:

Tailored Software

Explanation:

The tailored software is designed to meet the specific requirement of the users and form an important part of the organisational MIS (Management Information System). Tailored software can interact and share information with the various sub components of the organisational MIS.

Hence the answer is Tailored Software

How is the foundation for a skyscraper different from a house?

Answers

Answer:

Shallow foundations, often called footings, are usually embedded about a metre or so into soil. ... Another common type of shallow foundation is the slab-on-grade foundation where the weight of the structure is transferred to the soil through a concrete slab placed at the surface.

Explanation:

Because I said so.

Three groups of students are given study outlines for 6 weeks. One group studies 2 hours a night, a second group studies 1 hour a night, and the third group only studies 30 minutes. Their final exam grade will be at the end of the 6 weeks. What is the constant ?

Answers

Answer:

The constant here is the study outline

Explanation:

In scientific research, the constant variable is that part/variable of the experiment that does not change or is set not to change. Examples include temperature, environment or height.

Assuming the scenery described in this question is an experiment. All the groups presented are bound by a constant during the experiment. The constant here is the study outline. The study outline provided to the students is not going to change.

NOTE: There could be confusion as regards the answer being the final exam grade but that will be the dependent variable as that will be the outcome of the experiment while the time spent to study will be the independent variable.

Determine the capitalized cost of a permanent roadside historical marker that has a first cost of $90,000 and a maintenance cost of $3,100 once every 5 years. Use an interest rate of 10% per year.
The capitalized cost is:

Answers

The capitalized cost of the permanent roadside historical marker is $116,386.30.

Capitalized cost

The capitalized cost is an assessment of the cost of the investment. Capitalized cost is a useful metric in cost accounting, particularly in the case of business assets. In the case of permanent roadside historical markers, we need to calculate the capitalized cost given the first cost and maintenance cost of $90,000 and $3,100 respectively that is done every 5 years.

Assuming the interest rate of 10% per year. We can use the following formula to calculate the capitalized cost.

C = P * (i / (1 - (1 + i)^(-n)))

Where,

C = Capitalized cost

P = First cost

i = Interest rate per year

n = Total number of years

To calculate the capitalized cost of the permanent roadside historical marker, we need to calculate the present value of the investment. We are given that the first cost of the historical marker is $90,000 and the maintenance cost of $3,100 is incurred once every 5 years at an interest rate of 10% per year.

The total number of years n = 20 years (4 maintenance cycles of 5 years each).

Therefore, using the formula, we have,

C = $90,000 + $3,100 * (PVIFA10%,20)

$3,100 * (PVIFA10%,20) = 8.513 (calculated using Excel or tables)

C = $90,000 + $3,100 * 8.513

C = $90,000 + $26,386.30 = $116,386.30.

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to be considered a complete warm up cycle, the engine must reach a temperature of

Answers

To be considered a complete warm-up cycle, the engine must reach a temperature that is optimal for its efficient and safe operation.

The specific temperature required for a complete warm-up cycle may vary depending on the engine type, fuel used, and other factors. Generally, the engine should reach its normal operating temperature, which is typically around 195-220 degrees Fahrenheit (90-105 degrees Celsius) for most gasoline-powered vehicles. This temperature allows the engine to operate efficiently, burn fuel effectively, and minimize wear and tear on engine components. However, it's important to consult the manufacturer's guidelines or the vehicle's owner's manual for the recommended warm-up temperature specific to your engine model.

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A scale on a blue print drawing of a house shows that 666 centimeters represents 333 meters.
What number of centimeters on the blue print represents an actual distance of 272727 meters?

Answers

Answer:

545454cm

Explanation:

The blue print drawing of the house shows 666 centimeters, but the real picture of the house is 333 meters. So let the number of cm on the blueprint that represent the distance of 272727 meters be x. Firstly convert the meters to centimeters 666cm = 333m, x=272727m ; then cross multiply, 666cm=33300cm x=27272700cm ; x =(666cm×272727cm)/33300cm =545454cm.

1. suppose we have a stack that can grow indefinitely. we want to create a new type of stack data structure. the contents are templated and will always contain only comparable items (e.g., integers or strings, although you may not assume anything about the contents of the stack other than that any two are comparable: this means, given two elements a and b, we can determine if a < b and can also determine if a and b are equal). this new structure will have the usual stack public operations and also a new function findmin, which will return the smallest element currently in the stack. we could implement this by searching the contents, but that takes time linear in the number of elements in the stack. explain how you would change the new stack data structure to allow for this function to run in o(1) time. if you are storing additional private member data, state what else you are storing. if you are changing existing functions push, pop, or top (or the constructor/size functions), explain briefly how you are changing them. their running times must still be o(1); for example, you cannot search the full stack for the newest minimum value at every push and pop. explain in a few sentences how each change works and how, after any valid sequence of push and pop operations, we can always find the minimum element in the stack in o(1) time. your explanation should be sufficient that if, six months from now, you had to write the necessary modifications to a stack data structure written in your favorite programming language, using only your written description, you could do so. you may assume that there will never be a duplicate item pushed to the stack.

Answers

In order to accomplish operations, the stack uses the LIFO (last in, first out) sequence or methodology. Two types of data structures, an array, and a linked list, can be used to build stacks in data structures.

Array: When a stack is used, an array is used to create it. Arrays are the working tool for every action. Pushing an item into the stack and popping an item out of the stack are the only two operations permitted in pushdown stacks. It is only possible to add and delete components from a stack from the top, making it a limited-access data structure. Adding anything to the stack's top with a push, taking something away with a pop, is known as pushing.

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12. Some engine blocks are made of _______, but its high cost prohibits use in average-priced vehicles. A. cast iron B. aluminum C. magnesium alloy D. hydrocarbon

Answers

I think the answer is C. Magnesium alloy
The answer is, according to the internet, some of the engine blocks are made of magnesium alloy but its high cost prohibits use in average-priced vehicles. The answer is C. Magnesium alloy.

a force f is applied to a cylindrical steel cable of diameter 3.5 mm and length 10.0 m. determine the value of f if the change in length of the cable is 7.8 mm. ysteel

Answers

The value of force F applied to the steel cable is approximately 3.75 x 10^3 N.

To determine the value of force F applied to a cylindrical steel cable of diameter 3.5 mm and length 10.0 m given the change in length of the cable is 7.8 mm, we can use the following formula:

F = A x Ysteel x ΔL / L

where:

A = πr^2 (cross-sectional area of the cable)

r = d/2 (radius of the cable)

d = 3.5 mm (diameter of the cable)

Ysteel = 20 x 10^10 N/m^2 (Young's modulus of steel)

ΔL = 7.8 mm (change in length of the cable)

L = 10.0 m (the original length of the cable)

First, we need to calculate the radius of the cable:

r = d/2 = 3.5 mm / 2 = 1.75 mm = 0.00175 m

Next, we can calculate the cross-sectional area of the cable:

A = πr^2 = π x (0.00175 m)^2 = 9.62 x 10^-6 m^2

Now, we can plug in the values into the formula:

F = A x Ysteel x ΔL / L

F = (9.62 x 10^-6 m^2) x (20 x 10^10 N/m^2) x (7.8 x 10^-3 m) / (10.0 m)

F = 3.75 x 10^3 N

Therefore, the value of force F applied to the steel cable is approximately 3.75 x 10^3 N.

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Your question is incomplete but probably the complete question

A force F is applied to a cylindrical steel cable of diameter 3.5 mm and length 10.0 m. Determine the value of F if the change in length of the cable is 7.8 mm.

Ysteel = 20 x 1010 N/m2

coal fire burning at 1100 k delivers heat energy to a reservoir at 500 k. Find maximum efficiency.

Answers

Answer:

55%

Explanation:

hot reservoir = 1100 K

cold reservoir = 500 K

This is a Carnot system

For a Carnot system, maximum efficicency of the system is given as

Eff = 1 - \(\frac{Tc}{Th}\)

where Tc = temperature of cold reservoir = 500K

Th = temperature of hot reservoir = 1100 K

Eff = 1 - \(\frac{500}{1100}\)

Eff = 1 - 0.45 = 0.55 or 55%

Can some help me with this !!! Is 26 points!!

Can some help me with this !!! Is 26 points!!

Answers

Third one
15,000,000 ohms because M=10^6

A cylindrical bar of metal having a diameter of 20.2 mm and a length of 209 mm is deformed elastically in tension with a force of 50500 N. Given that the elastic modulus and Poisson's ratio of the metal are 65.5 GPa and 0.33, respectively, determine the following: (a) The amount by which this specimen will elongate in the direction of the applied stress. (b) The change in diameter of the specimen. Indicate an increase in diameter with a positive number and a decrease with a negative number.

Answers

Answer:

A) ΔL = 0.503 mm

B) Δd = -0.016 mm

Explanation:

A) From Hooke's law; σ = Eε

Where,

σ is stress

ε is strain

E is elastic modulus

Now, σ is simply Force/Area

So, with the initial area; σ = F/A_o

A_o = (π(d_o)²)/4

σ = 4F/(π(d_o)²)

Strain is simply; change in length/original length

So for initial length, ε = ΔL/L_o

So, combining the formulas for stress and strain into Hooke's law, we now have;

4F/(π(d_o)²) = E(ΔL/L_o)

Making ΔL the subject, we now have;

ΔL = (4F•L_o)/(E•π(d_o)²)

We are given;

F = 50500 N

L_o = 209mm = 0.209m

E = 65.5 GPa = 65.5 × 10^(9) N/m²

d_o = 20.2 mm = 0.0202 m

Plugging in these values, we have;

ΔL = (4 × 50500 × 0.209)/(65.5 × 10^(9) × π × (0.0202)²)

ΔL = 0.503 × 10^(-3) m = 0.503 mm

B) The formula for Poisson's ratio is;

v = -(ε_x/ε_z)

Where; ε_x is transverse strain and ε_z is longitudinal strain.

So,

ε_x = Δd/d_o

ε_z = ΔL/L_o

Thus;

v = - [(Δd/d_o)/(ΔL/L_o)]

v = - [(Δd•L_o)/(ΔL•d_o)]

Making Δd the subject, we have;

Δd = -[(v•ΔL•d_o)/L_o]

We are given v = 0.33; d_o = 20.2mm

So,

Δd = -[(0.33 × 0.503 × 20.2)/209]

Δd = -0.016 mm

a struct is a definition, not a declaration. (1) a. true b. false

Answers

The statement is true. A struct is a user-defined data type in C programming language that is used to group related variables together.

A struct definition specifies the data types and names of the members of the struct, but it does not allocate any memory for the struct. A struct declaration, on the other hand, is used to create a variable of the struct type and allocate memory for it. Thus, a struct definition is a definition, not a declaration, because it only describes the type and structure of the data, while a struct declaration creates an instance of that type. It is important to understand this distinction between struct definition and declaration when working with structs in C programming.

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Recall a recent decision that you had difficulty making. How did you diagnose and solve the challenge? Were the consequences good, bad, or both? Should you, and could you, have done anything differently in making the decision? Based on what you have learned so far, what changes would you make and why?

Answers

Answer:

yes maybe

Explanation:

I have a project and everyone in the world will know about it.

Answer:

both

Explanation:

A mass attached to the end of a spring is stretched a distance x0 from equilibrium and released.
a. At what distance from equilibrium will it have velocity equal to half its maximum velocity?
b. At what distance from equilibrium will it have acceleration equal to half its maximum acceleration? Answer in terms of x0
.

Answers

a. The mass will have a velocity equal to half its maximum velocity at a distance of 0.707x0 from equilibrium.

b. The mass will have an acceleration equal to half its maximum acceleration at a distance of 0.5x0 from equilibrium.

The motion of a mass attached to a spring is described by the equation:

x = A cos(ωt + φ)

where x is the displacement from equilibrium, A is the amplitude of the motion, ω is the angular frequency (ω = sqrt(k/m) where k is the spring constant and m is the mass), t is time, and φ is the phase angle.

The maximum velocity and acceleration occur at the equilibrium position (x=0) and are given by:

v_max = Aω

a_max = Aω^2

To find the distance from equilibrium where the velocity is half its maximum value, we can solve for the displacement x when v = v_max/2:

v = -Aω sin(ωt + φ) = v_max/2

sin(ωt + φ) = -1/2

ωt + φ = -π/6 or 7π/6

Substituting ω = sqrt(k/m) and t = T/4 (where T is the period of the motion) gives:

sqrt(k/m)T/4 + φ = -π/6 or 7π/6

Solving for A cos(φ) (which is the displacement from equilibrium) gives:

A cos(φ) = ±(sqrt(3)/2)A

Therefore, the distance from equilibrium where the velocity is half its maximum value is 0.707x0.

To find the distance from equilibrium where the acceleration is half its maximum value, we can solve for the displacement x when a = a_max/2:

a = -Aω^2 cos(ωt + φ) = a_max/2

cos(ωt + φ) = -1/2

ωt + φ = ±2π/3

Substituting ω = sqrt(k/m) and t = T/3 gives:

sqrt(k/m)T/3 + φ = ±2π/3

Solving for A cos(φ) gives:

A cos(φ) = ±0.5x0

Therefore, the distance from equilibrium where the acceleration is half its maximum value is 0.5x0.

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Two kg of a two phase liquid vapor mixture of carbon dioxide(co2) exists at a - 40C in a 0.05 tank

Answers

The question is incomplete. Here is the complete question.

Two kg of a two phase liquid vapor mixture of carbon dioxide (CO₂) exists at -40°C in a 0.05m³ tank. Determine the quality of the mixture, if the values of specific volume for saturated liquid and saturated vapor CO₂ at -40°C are \(v_{f}\) = 0.896 x 10⁻³m³/kg and \(v_{g}=\) 3.824 x 10⁻²m³/kg, respectively.

Answer: x = 1

Explanation: In a phase change of a pure substance, at determined pressure and temperature, the substance exists in two different phases: saturated liquid and saturated vapor.

Quality (x) is the ratio of saturated vapor in the mixture and can be written as:

\(x=\frac{m_{vapor}}{m_{liquid}+m_{vapor}}\)

It has value between 0 and 1: x = 0 for saturated liquid and x = 1 for saturated vapor.

When related with volumes, quality is rearranged as:

\(x=\frac{v-v_{f}}{v_{g}-v_{f}}\)

Solving for x:

\(x=\frac{0.05-0.896.10^{-3}}{3.824.10^{-2}-0.896.10^{-3}}\)

\(x=\frac{0.049104}{0.037344}\)

x = 1.3

Quality of mixture of carbon dioxide is x = 1, which means it's for saturated vapor.

Which of the following is NOT a risky food:

a
Raw Meat
b
Uncleaned fruits & vegetables
c
Bread
d
All of the above
e
Soft Cheeses

Answers

i think it's c. bread.

Answer:I think raw meat because if you eat raw meat you get sick and get stomach aches so always when you cook meat it kill the bacteria

Explanation:what I'm trying to says is stay safe

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