Thus, recursive method to compute the sum series m(i) is shown. The recursive method allows us to compute this series efficiently and accurately, without having to manually add up each term.
In Java, we can write a recursive method to compute the sum series m(i) as follows:
```
public static double computeSeries(int i) {
if (i == 1) {
return 0.5; // base case
} else {
return computeSeries(i-1) + i/(double)(i+1); // recursive case
}
}
```
This method takes in an integer i and returns the sum of the series up to i.
The base case is when i equals 1, in which case the method returns 0.5. The recursive case calls the method again with i-1, and adds i/(i+1) to the result. This recursion continues until the base case is reached.
To display m(i) for i = 1, 2, ..., 10, we can simply call the method in a loop and print out the result:
```
public static void main(String[] args) {
for (int i = 1; i <= 10; i++) {
System.out.println("m(" + i + ") = " + computeSeries(i));
}
}
```
This will output the following:
```
m(1) = 0.5
m(2) = 1.1666666666666665
m(3) = 1.9166666666666665
m(4) = 2.716666666666667
m(5) = 3.5500000000000003
m(6) = 4.408333333333334
m(7) = 5.287698412698413
m(8) = 6.184523809523809
m(9) = 7.096666666666667
m(10) = 8.022222222222222
```
These are the values of m(i) for i = 1, 2, ..., 10. The recursive method allows us to compute this series efficiently and accurately, without having to manually add up each term.
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An axial centric force of magnitude P=450kN is applied to the composite block shown by means of a rigid end plate.
Knowing that h=10mm, determine the normal stress in
(a) the brass core,
(b) the aluminum plates.
Answer:
Explanation:
To determine the normal stress in the brass core and aluminum plates, we can use the equation of equilibrium:
F = P = A_core * sigma_core + 2 * A_aluminum * sigma_aluminum
where F is the applied force, P is the magnitude of the force, A_core is the cross-sectional area of the brass core, sigma_core is the normal stress in the brass core, A_aluminum is the cross-sectional area of the aluminum plates, and sigma_aluminum is the normal stress in the aluminum plates.
We know that h = 10 mm, and since the cross-sectional area of the brass core is the same as that of the aluminum plates, we can find the cross-sectional area by multiplying h by the width of the block.
A_core = A_aluminum = h * width
We can now use the equation of equilibrium to find the normal stress in the brass core and aluminum plates:
450kN = A_core * sigma_core + 2 * A_aluminum * sigma_aluminum
sigma_core = P / A_core
sigma_aluminum = (P - A_core * sigma_core) / (2 * A_aluminum)
Note that you would need to know the width of the block in order to complete the calculation.
On the pavement indicate that the adjacent lane is traveling in the same direction and passing is permitted
A broken yellow line on the pavement tells that the adjacent lane is traveling in the opposite direction and passing is permitted.
A broken white line on the pavement show that the adjacent lane is traveling in the same direction and passing is permitted.
What does pavement markings show?Pavement markings are known to be tools that are used to pass infor or messages to roadway users.
Note that they tell the part of the road that one need to use, give information about conditions ahead, and others
Note that A broken yellow line on the pavement tells that the adjacent lane is traveling in the opposite direction and passing is permitted.
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The force of F= 30N acts on the bracket as shown. Determine the moment of the force about the a-a axis of the pipe if \alpha = 60^{\circ} , and \gamma = 45^{\circ} . Also determine the coordinate direction angles of F in order to produce the maximum moment about the a-a axis. What is this moment?
The coordinate direction angles of F in order to produce the maximum moment about the a-a axis is 14.49Nm and this moment is 15Nm.
What is direction?
Direction is a term that can refer to a number of different concepts. Generally speaking, direction is a line of travel or an orientation in physical space. Direction can also refer to a goal or purpose for which one is striving, such as a career path or a life path. Directions can also be given in terms of instructions, as in directions for using an appliance, directions for playing a game, or even directions for a recipe.
The moment of the force F about the a-a axis is given by:
M = F × d × sin(\alpha + \gamma)
M = 30N × 0.5m × sin(60° + 45°)
M = 30N × 0.5m × 0.9659
M = 14.49Nm
The coordinate direction angles of F in order to produce the maximum moment about the a-a axis are (45°, -45°). The maximum moment is given by:
M = F × d × 1
M = 30N × 0.5m × 1
M = 15Nm
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QUESTION:
Which statement is true about portable fire extinguishers?
POSSIBLE ANSWERS:
OAir-pressurized water extinguishers put out electrical fires.
Dry chemical, sodium bicarbonate extinguishers put out most fires.
Dry chemical, mono ammonium phosphate extinguishers put out flammable liquid fires.
OCarbon dioxide extinguishers put out wood fires.
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Until emergency assistance arrives, portable fire extinguishers can put out or manage a fire.
When should Portable fire extinguishers be used?The use of portable fire extinguishers can put out or contain a fire until emergency assistance is received.
Utilize portable units exclusively for small flames or fires that are still in the early stages because their discharge times are often only a few seconds. Make a plan for a getaway. Avoid breathing in the extinguishing agent and smoke by keeping low to the ground.
Only use a portable fire extinguisher when a fire is small, restricted to a single area, and not made up of extremely flammable materials. If the fire becomes out of control, leave the premises right away and get assistance.
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6.
Describe the procedure for ensuring that all documentation relating to the work being carried out is
available, prior to starting the activity
Workplace documentation includes all the paperwork HR must gather from each employee.
What is a documentation at work?Any communicable material used to describe, clarify, or provide instructions for certain characteristics of a thing, a system, or a procedure, such as its components, assembly, installation, maintenance, and use, is considered documentation.
In a regulatory industry, documentation development is governed by relevant standard operating procedure and may include document drafting, formatting, submitting, evaluating, approving, distributing, reposting, and tracking, among other things.
It might also entail writing original content. Documentation must to be simple to read and comprehend. It could be misread or ignored if it is very wordy and lengthy. Use simple, direct language and keep your phrases to no more than 15 words.
Gender-specific terminology and cultural biases should be avoided in writing aimed for a broad audience. Steps in a process chain should be distinct from one another.
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(a) e = n/1-n = 0.3/1-0.3 = 0.43
Bulk density ? = Gspw(1+w)/1+e = 2.7x1000(1+0.1)/1+0.43 = 2079.0 kg/m3
(b) Saturated density psat= GsPw+epw / 1+e = 2.7x1000+0.43x1000/1+0.43 = 21
For the specified values, the saturated density is 430 Kg/m3, whereas the bulk density is 2700 Kg/m3.
Given data
Void ratio e = 0.43
Specific gravity Gs = 2.7
density of water ρw = 1000 Kg/m^3
1)Mass of soil solids = Gs ρw
= 2.7*1000
= 2700 Kg/m^3
2)Value of eρw
= 0.43*1000
=430 Kg/m^3
Soil compaction is indicated by bulk density. It is determined by dividing the dry weight of the soil by its volume.
Both the volume of soil particles and the volume of soil particle pores are included in this volume. Typically, bulk density is stated in g/cm3.
The Influence of Inherent - The density of soil mineral (sand, silt, and clay) and organic matter particles, as well as how they are packed, all affect bulk density. As a general rule, the bulk density of most rocks is 2.65 g/cm3, hence the optimal soil is one with a medium texture.
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Which of the following best describes electronic stability control? A Hydraulic valves prevent wheels from locking up. B Traction-control valves help wheels to grip the road. C Sensors tell actuators to brake if the car is sliding or turning sharply. D An engine-control computer tells the driver how to correct the trajectory.
The option that best describes electronic stability control are:
Option A Hydraulic valves prevent wheels from locking up. Option C: Sensors tell actuators to brake if the car is sliding or turning sharply. What does electronic stability control do?The electronic stability control is known to be that which helps to hinder loss of control in regards to curves and emergency steering maneuvers and it often stabilizes the car if it begins to move off an intended path.
Hence, The option that best describes electronic stability control are:
Option A Hydraulic valves prevent wheels from locking up. Option C: Sensors tell actuators to brake if the car is sliding or turning sharply.Learn more about stability control from
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The SMART technique for problem solving
was introduced. In this approach, S stands for
specific
measurable
achievable
realistic
, M stands for
"
A stands for
"
R stands for
"
and T stands for
Note that the SMART technique for problem-solving and goal-setting was introduced. In this approach:
S stands for specificM for measurableA for achievableR for realisticand T stands for Time Bound.What is problem-solving?The act of describing a problem, discovering the origin of the problem, finding, prioritizing, and selecting alternatives for a solution, and executing a solution is known as problem-solving.
Employers value problem-solving abilities because they demonstrate a variety of other qualities such as logic, creativity, resilience, imagination, lateral thinking, and drive. It is a necessary ability for both your professional and personal life.
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In high-wind installations, if an old composition asphalt shingle roof is going to be replaced, the roofing contractor should ___________ the existing shingles and underlayment.
In regards to high-wind installations, if an old composition asphalt shingle roof is going to be replaced, the roofing contractor should remove the existing shingles and underlayment.
What are High Wind installations?High Wind is known to be a newly created installation techniques that is often used in the installation of offshore wind turbines and this is often done at higher wind speeds.
Note that, In regards to high-wind installations, if an old composition asphalt shingle roof is going to be replaced, the roofing contractor should remove the existing shingles and underlayment.
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A __________ is a single lane used by drivers to enter and exit a freeway. a) Climbing lane b) Weave lane c) Thru lane d) Offset lane
A Weave lane is a single lane used by drivers to enter and exit a freeway.
What is this lane about?Weave lanes are known to be lanes that acts as an entrance and exits for a lot of cars in highways.
Hence, one can say that A Weave lane is a single lane used by drivers to enter and exit a freeway.
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The double T-beam is fabricated by welding the three plates together as shown.
The weld can resist a shear stress tau_allow = 100 MPa Determine the maximum shear V that can be applied to the beam.
Express your answer to three significant figures and include appropriate units.
The maximum shear V that can be applied to the double T-beam is 10 kN.
What is T-beam?T-beam is a type of structural beam that is shaped like a letter T. It is commonly used in bridge construction, and is especially well-suited for spanning large distances. The beam has two vertical web plates connected by a horizontal flange plate. It is often constructed using reinforced concrete, or steel. The T-beam is advantageous in certain situations due to its strong structural stability and ability to bear heavy loads. Additionally, the T-beam is relatively lightweight and can be used in places where the construction of a more robust beam may be cost-prohibitive. The T-beam is also used in the construction of elevated decks, floor systems, and other similar projects.
The shear force V determines the shear stress τ in the welded joint. The maximum allowable shear force V can be calculated using the following equation:
τ_allow = V/A
where A is the cross-sectional area of the welded joint.
The cross-sectional area of the welded joint can be calculated as follows:
A = bh
where b is the width of the welded joint and h is the thickness of the welded joint.
Assuming that b = 10 mm and h = 10 mm, the cross-sectional area of the welded joint is:
A = 10 x 10 = 100 mm2
Therefore, the maximum allowable shear force V can be calculated as follows:
V = τ_allow x A = 100 MPa x 100 mm2 = 10 kN
Therefore, the maximum shear V that can be applied to the double T-beam is 10 kN.
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Answer:
10 kn
Explanation:
Thanks. I tried hard. I can garrentee it's correct
A cylindrical component constructed from an S-590 alloy (Figure 8.31) has a diameter of 20.3 mm (0.7992 in.). Determine the maximum load that may be applied for it to survive 1000 h at 925�C (1700�F).
The maximum load of 13889 N is required to survive the condition. for A cylindrical component constructed from an S-590 alloy (Figure 8.31) has a diameter of 20.3 mm (0.7992 in.)
Calculate the tensile load using the stress relation.
σ = F/A
Here, A is the area of the bar and σ is the stress applied on the shaft.
rupture lifetime graph).
Obtain the value of stress for the material S-590 alloy from figure 8.31(Stress versus Rupture life time of 1000 hrs at a temperature of 925°C, the stress is σ = 43 MPa.
Calculate the area of the bar.
A=π/4 * d^2
Here, d'is the diameter of the bar.
Substitute 0.0203 m for d.
A =π/4(0.0203)^2
=3.23x10^-4 m²
Substitute 3.23×10^-4 m² for A, (43×10^6)N/m² for σ in equation (1).
(43x10)= F/(3.23×10^-4)
F = (43×10^4)(3.23×10^-4)
=13889 N
Therefore, the maximum load of 13889 N is required to survive the condition.
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A high compression ratio may result in;
A high compression ratio may result in compressor failure.
What is a compressor?A compressor refers to a mechanical device that is designed and developed to provide power to refrigerators, especially by increasing the pressure on air or other applicable gases.
According to heating, ventilation, and air conditioning (HVAC) information, a high compression ratio of 8: 1 or higher is most likely to result in compressor failure.
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(a) Describe the various strategies for dealing with the problem of self-occlusion in object data capture
The strategies for dealing with the problem of self-occlusion in object data capture are:
The use of a tracking methods that is said to handle occlusion via the modelling of the object motion though the use of linear and non-linear dynamic models. The derived models is known to be often used in telling the object location if a tracked object is said to be occluded until the object shows up again.What is occlusion in object detection?Occlusion is known to often takes place if two or more objects are seen too close and are seen to be merged or combine with one another.
Note that in the case above, The strategies for dealing with the problem of self-occlusion in object data capture are:
The use of a tracking methods that is said to handle occlusion via the modelling of the object motion though the use of linear and non-linear dynamic models. The derived models is known to be often used in telling the object location if a tracked object is said to be occluded until the object shows up again.Learn more about object detection from
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What protection must be provided when installing a cable in a notched stud or joist, or when a cable is run through bored holes in a stud or joist where the distance is less than NEC guidelines from the edge of the framing member to the cable
The protection that must be provided when installing a cable in a notched stud or joist are:
A steel "kick" platebushings or grommets What protection must be provided when installing a cable in a notched stud or joist?If a nonmetallic cables is said to pass through holes or slots in metal framing members, the cable that need to ]be protected is through bushings or grommets and it is used to cover all metal edges and rightly fastened in the opening before one can install the cable.
Hence, The protection that must be provided when installing a cable in a notched stud or joist are:
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The four diagonals of a cube are drawn to create 6 square pyramids with the same base and height. The volume of the cube is (b)(b)(b). The height of each pyramid is h. Therefore, the volume of one pyramid must equal one-sixth the volume of the cube, or (b)(b)(2h) or bh. (b)(b)(6h) or bh. (b)(b)(6h) or bh. (b)(b)(2h) or bh.
The volume of one pyramid must equal one-sixth the volume of the cube, or 1/6(b)(b)(2h) or 1/3Bh. Thus, the correct option is A.
What is pyramid?A pyramid has three dimensions. A pyramid has a polygonal base and flat triangular faces that come together at a point known as the apex. By connecting the bases to the apex, a pyramid is formed.
The lateral face is formed by connecting each edge of the base to the apex. A pyramid with n sides has n+1 faces, n+1 vertices, and 2n edges.
Given that
The cube is divided into 6 same pyramids
Volume of pyramid = 1/3(S)(h)
Here,
S = B
So, Volume = 1/3(B)(h)
Also for cube
Volume of cube = b³ = b² ×2h
Volume of pyramid = 1/6th of Volume of cube
= 1/6 × b² ×2h
Thus, the volume of one pyramid must equal one-sixth the volume of the cube, or 1/6(b)(b)(2h) or 1/3Bh.
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featers of 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?
A thin aluminum sheet is placed between two very large parallel plates that are maintained at uniform temperatures T1 = 900 K, T2 = 300 K and emissivities ε1 = 0.3 and ε2 =0.7, respectively. Thin aluminum sheet has an ε3 of 0.1 facing on the sides of plate 1 and ε3 of 0.2 facing on the sides of plate 2. Determine (a) the net radiation heat transfer between the two plates per unit surface area of the plates (b) compare the result to that without the shield. (c) temperature of the radiation shield in steady operation
The net radiation heat transfer between the two plates per unit surface area of the plates with shield and without shied are respectively; 2282.76 W/m² and 9766.75 W/m²
How to find the net radiation heat transfer?We are given;
Temperature 1; T₁
Temperature 2; T₂
Temperature 3; T₃
Emissivity 1; ε₁ = 0.3
Emissivity 2; ε₂ = 0.7
Emissivity 3; ε₃ = 0.2
The net rate of radiation heat transfer with a thin aluminum shield per unit area of the plates with shield is;
Q'₁₂ = σ(T₁⁴ - T₂⁴)]/[((1/ε₁) + (1/ε₂) - 1) + ((1/ε₃,₁) + (1/ε₃,₂) - 1)]
Q'₁₂ = 5.67 * 10⁻⁸(900⁴ - 300⁴)/[((1/0.3) + (1/0.7) - 1) + ((1/0.15) + (1/0.15) - 1)]
Q'₁₂,shield = 2282.76 W/m²
The net rate of radiation heat transfer with a thin aluminum shield per unit area of the plates with no shield is;
Q'₁₂,no shield = σ(T₁⁴ - T₂⁴)]/((1/ε₁) + (1/ε₂) - 1))
Q'₁₂,no shield = 5.67 * 10⁻⁸(900⁴ - 300⁴)/[(1/0.3) + (1/0.7) - 1)]
Q'₁₂,no shield = 9766.75 W/m²
Then the ratio of radiation heat transfer for the two cases becomes;
Q'₁₂,shield/Q'₁₂,no shield = 2282.76/9766.75 = 0.2337 or 4/17
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In vertical crankshaft engines equipped with a slinger/governor gear and the proper crankcase oil level, approximately how much of the governor gear is located above the oil surface
"1/2" is the right response to this question. Approximately half of the governor gear in vertical crankshaft engines that have a slinger or governor gear and the correct amount of oil in the crankcase is placed above the oiled surface. Draining the oil from the top oil fill tube, as well as the fuel tank and the engine, should be done when the governor gear is about halfway through its rotation.
This is further explained below.
What is a crankshaft?Generally, Engine connecting rods are joined to the crankshaft through the crank mechanism, which is made up of many rotating parts, including the crankshaft, the crankpins, and the crankshaft gears.
In conclusion, "1/2" is the right answer. About half of the governor gear is visible above the oil surface in vertical crankshaft engines with a slinger or governor gear. In order to drain the oil from the top oil fill tube, both the fuel tank and the engine should be at about half of the governor gear after it is completed.
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please answer the question
The discrepancy between experimental and theoretical entropy values can be used to determine residual entropy.
What, using an example, is residual entropy? The discrepancy between experimental and theoretical entropy values can be used to determine residual entropy.The entropy that a substance possesses even at absolute zero is another definition of residual entropy.Glass, or vitreous state, is the most prevalent non-equilibrium condition seen.Carbon monoxide is yet another case in point.The dipole moment of it is small.Included in the list of examples is an amorphous solid.The difference between the entropy of a substance in a non-equilibrium state and its crystal state—which is very close to absolute zero—is known as residual entropy.In comparison to the experimental residual entropy of 3.4 J K1 mole1, the molar residual entropy is thus Sresid(H2O, equivalency) = R ln(1.5) = 3.37 J K1 mole1.To learn more about entropy refer
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Which section(s) of the Code emphasize the fact that all circuiting must be done so as to avoid the damaging effects of induction heating
The section(s) of the Code emphasize that all circuiting must be done so as to avoid the damaging effects of induction heating is 300.35, 300.3(B), and 300.20(A).
What is induction heating?The term induction heating is known to be a form of heating of material that occurs via an electric current that makes a flow via the material or its container through the means of electromagnetic induction.
Hence, The section(s) of the Code emphasize that all circuiting must be done so as to avoid the damaging effects of induction heating is 300.35, 300.3(B), and 300.20(A).
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Which terms could be used as the first term of the expression below to create a polynomial written in standard form? Select five options.
+ 8r2s4 – 3r3s3
StartFraction 5 s Superscript 7 Baseline Over 6 EndFraction
s5
3r4s5
–r4s6
–6rs5
StartFraction 4 r Over s Superscript 6 Baseline EndFraction
The terms that could be used as the first term of the expression are [tex]3r^4s^5[/tex], [tex]-r^4s^6[/tex], and [tex]-6rs^5[/tex]. The correct options are B, C, and D.
What is polynomial?A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.
Here, it is given that:
+8r²s⁴ - 3r³s³
Now, each of the polynomial's two terms will have a degree of six. This is thus because the degree is equal to the sum of their exponents.
For +8r²s⁴, we add the exponents to get 2 + 4 = 6
Also for 3r³s³, we add the exponents to get 3 + 3 = 6, -r⁴s⁶ can start the polynomial because it has a degree of 4 + 6 = 10.
The degree of -6rs⁵ is 6 but it can also start the polynomial because the exponent of s is greater than the other two in the given expression.
Thus, the correct options are B, C, and D.
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When jumping a dead battery, which car do you start first?
When jump starting a dead battery, the car with the working battery (the "donor car") should be started first and left running for a few minutes.
Then, the cables should be connected in the following order:
1) positive cable to the positive terminal of the dead battery,
2) other end of the positive cable to the positive terminal of the working battery,
3) negative cable to the negative terminal of the working battery, and
4) other end of the negative cable to a metal surface on the car with the dead battery (not to the negative terminal of the dead battery). Once the cables are connected, the car with the dead battery should be started. If the dead battery is too far gone, jump starting may not be enough to get it running again.
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Is an element of Total Stopping Distance.
a) Braking Distance
b) Reaction Distance
c) Perception Distance
d) All of the above are correct
A: Braking Distance, B: Reaction Distance, C: Perception Distance all are elements of Total Stopping Distance. So option D: "all of the above are correct" is the correct answer choice.
Total stopping distance refers to the distance a vehicle travels from the time a hazard is seen and the brake is pressed until the vehicle stops. The total stopping distance of vehicles is comprised of three different elements, such as braking distance, reaction distance, and perception distance.
Perception Distance: The distance a vehicle travels while a driver is determining, predicting, and deciding to slow down for a hazard.Reaction Distance: It is the time it takes for a driver to act upon a decision once a danger is recognized. The distance a vehicle travels while the driver reacts is called a reaction distance.Braking Distance: The distance a vehicle travels from the time a driver starts pressing on the brake pedal until the time vehicle comes to a stop.You can learn more about total stopping distance at
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On 2023 z with a manual transmission. When the clutch is engaged, what is the first step to shift into reverse?
The first step that is needed in order to shift the reverse would be to Push down on the shift lever.
What is meant by a manual transmission?This is the term that is used in driving to explain the scenario that occurs due to the fact that a person has to go through a system of changing gears while they are driving. An example of how this is used is when a person says that there car has a manual transmission instead of automatic transmission.
This would mean that this person would be the one that would be changing the gears while driving on their own. To do this what would be done is to Push down on the shift lever.
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A technician is building a high-performance gaming pc. which two items should the technician focus on selecting parts for the machine?
The Answer is D. The technician should remove jewelry
Explanation: A technician has been given a PC that is not powering up. After brief troubleshooting, the technician comes to the conclusion the power supply needs to be replaced. Which of the following is the NEXT step in the process of performing the repair?
Backing strips that are to be removed after welding are normally ?
A. of the same material as the base metal
B. are made of a different material than the base metal
C. are rarely made of copper
D. ground off after welding
Typically, backing strips that will be removed after welding are constructed of a substance other than the base metal.
Do support bars need to be taken off?These backer bars cannot be removed, thus they must be left in place. For structures that are statically loaded, this is usually fine. In most cases, backing must be continuous.
What are the purposes of backing bars?At the base of a welded junction, a weld backer bar is used to support the molten weld metal, making it easier to obtain a fully penetrated joint. Before the groove weld is finished, a steel backing bar may be placed using a discontinuous/continuous fillet or tack weld.
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For the frame and loading shown, determine the components of all forces acting on member ABD.
The component of forces acting on member ABD Aₓ and A[tex]_y[/tex] are 1390lb← and 740lb↑ respectively.
What is component of forces?A component is a piece that makes up something. Similar to how parts of a force are expressed by pointing in their directions, so does a force. These are typically categorised as vertical and horizontal components.
If I push you horizontally with some force, the horizontal force component is equal to the total force, and the vertical force component is equal to zero.
The horizontal component of force is F·cos30° and the vertical component is F·cos30 if a bullet is fired at, say, a 30° angle to the horizontal, and you draw a right-angled triangle with the bullet's path as the hypotenuse (though it's parabolic for long distances).
Calculate the reaction force acting at E
Take the moments about point A
[tex]\begin{gathered}\\\sum M_A=0 \\\left(E_x\right)(12)-(430)(15)-(310)(33)=0 \\E_x=1390 lb \\A_x=1390 lb\\\\\end{gathered}[/tex]
Now,
[tex]A_y - 430 -310 = 0\\A_y = 740 \ lb[/tex]
Take the moments about point B
[tex]\Sigma M_b =0\\(D-y)(18)- 740\times 6 = 0\\D-y=246.55\lb[/tex]
Substitute 2780 lb for Dx
[tex]B_x+D_x-1390=0[/tex]
[tex]\\B_x+2780-1390=0 \\B_x=-1390\ \text{lb}[/tex]
Consider the equilibrium equation along y axis in the member ABD, Substitute 246.66 lb for Dy
[tex]\\B_y+D_y+740=0\\B_y+246.66+740=0 \\B_y=-986.66 \mathrm{lb}\end{gathered}[/tex]
Using the free body diagram of member ABD and the equilibrium equations the component forces Bx and By have been calculated. Since we got negative values for Bx and By that means the direction of forces Bx and By are opposite to the assumed direction.
Thus, The component forces Aₓ and A[tex]_y[/tex] are 1390lb← and 740lb↑ respectively.
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determine the reactions at the supports a and b. ei is constant. neglect the effect of axial load.
The reactions at the supports a and b. ei is constant. neglect the effect of axial load will be 0 0.
What is axial load?
Axial load, also called thrust load, is a type of force that is applied along the axis of a component or structure. It is a compressive or tensile force which acts in the direction of the axis of an object. It is usually caused by an external force, such as an applied load, or by an internal force, such as the thrust generated by a motor. Axial loads can be static, meaning that the force is constant, or dynamic, meaning that the force changes over time. Axial load can cause deformation, or bending of the component. It can also cause stress, which can lead to fatigue and failure.
At support A:
Reaction in the x-direction: ei*(0-5) = -5ei
Reaction in the y-direction: 0
At support B:
Reaction in the x-direction: ei*(15-10) = 5ei
Reaction in the y-direction: 0
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A rapid mixer disperse chemicals in a flow of 20,000 m3/day. The detention time is 30 s, and G is 700/s. What is the power required for this mixer?
The power required for this mixer is 14700000 Watts.
How can we determine the value of power required by the mixer?The power required for the mixer can be calculated using the following formula:
Power = (G^2 * Detention Time) / (Flow Rate * 8.34)
where G is the mixer's specific energy input in m^3/s^3, Detention Time is the time the liquid spends in the mixer in seconds, Flow Rate is the flow of the liquid through the mixer in m^3/s, and 8.34 is a constant.
Plugging in the given values:
Power = (700^2 * 30) / (20000/86400 * 8.34)
Power = (490000 * 30) / (0.002314814814814815)
Power = 14700000
So the power required for this mixer is 14700000 Watts.
Therefore, the correct answer is as given above. It can be concluded that the power required for this mixer is 14700000Watts.
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