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Please solve using MASON RULE to find the transfer function (Y(s) / R(s) ) .
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The transfer function of the given system is Y(s)/R(s) = G1 * (G2 + G3). To find the transfer function Y(s)/R(s) of the given system using Mason's rule.
What is forward path?The forward path is the path that starts from the input R(s) and ends at the output Y(s). In the given system, there is only one forward path, Individual loops are the loops that do not contain any other loops inside them. In the given system, there are two individual loops.
Non-touching loops are the loops that do not share any nodes with each other. In the given system, there are no non-touching loops.
Now, we can apply Mason's rule to find the transfer function Y(s)/R(s). The formula for Mason's rule is:
Y(s)/R(s) = (sum of individual loop gains) / (1 - sum of non-touching loop gains)
Using the above formula, we get:
Y(s)/R(s) = ((G1 * G2) + (G1 * G3)) / (1 - 0)
Y(s)/R(s) = (G1 * (G2 + G3)) / (1)
Y(s)/R(s) = G1 * (G2 + G3)
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Related Questions
Please label the following statements as T (true) or F (false).
1. Loading errors are systematic uncertainty.
2. Resolution uncertainty is usually treated as random uncertainty.
3. The mass balance in the lab has a resolution of 1 g.
4. The Fluke 45 multi-meter reads faithfully at a frequency of 2 Hz.
5. For the function generator in the lab, a range under 20 kHz range button with a dial position 1.2 gives a wave with frequency of about 12 kHz.
6. Regression analysis is limited to linear regression.
7. In the Displacement and Strain lab, the surface (fiber) stress is measured by the strain gage.
8. A gage factor of 2.0 is used in the strain gage in the Displacement and Strain lab.
9. The proximity probe is used to verify the Euler-Berboulli Beam theory while the strain gage is used to verify Hook’s law in our Displacement and Strain lab.
10. The proximity probe in the lab is powered by ±15 VAC.
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The statements are labeled as T (true) or F (false) given below:
A systematic uncertainty is defined as the possible unknown measurement variation that does not randomly vary from data point to data point. Random uncertainty causes one measurement to differ from the next.
Loading errors are systematic uncertainty. - TrueResolution uncertainty is usually treated as random uncertainty. - FalseThe mass balance in the lab has a resolution of 1 g. - TrueThe Fluke 45 multi-meter reads faithfully at a frequency of 2 Hz. - TrueFor the function generator in the lab, a range under 20 kHz range button with a dial position 1.2 gives a wave with a frequency of about 12 kHz. - TrueRegression analysis is limited to linear regression. - FalseIn the Displacement and Strain lab, the surface (fiber) stress is measured by the strain gauge. - TrueA gauge factor of 2.0 is used in the strain gauge in the Displacement and Strain lab. - TrueThe proximity probe is used to verify the Euler-Berboulli Beam theory while the strain gauge is used to verify Hook’s law in our Displacement and Strain lab. - FalseThe proximity probe in the lab is powered by ±15 VAC. - True.Learn more about systematic uncertainty at:
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A major coffee retailer seeks Accenture's help to improve its supply chain
management. Accenture should suggest an enterprise platform utilizing which type
of process?
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A major coffee retailer seeks Accenture's help to improve its supply chain
management. Accenture should suggest an enterprise platform utilizing which type
of process?
iintellectual property rights may be legally protected in several ways. which of the following answer options is not one of the ways of protecting intellectual property?
Answers
The following answer option is not one of the ways of protecting intellectual property: Planting evidence in another company's office.
Intellectual property refers to creative works or inventions that have a commercial purpose or application. Intellectual property is classified as either industrial property or copyright. Patents, trademarks, industrial designs, and geographical indications are examples of industrial property. Copyright refers to literary and artistic works like books, films, and music, as well as architectural and graphic designs.The legal protection of intellectual property rights:There are various ways to legally protect intellectual property rights, including:PatentTrademarkCopyrightTrade SecretIndustrial Design Plant Varieties.
This answer the question: " which of the following answer options is not one of the ways of protecting intellectual property?"
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Find the rate of heat transfer by convection (kW) when: the convective heat transfer coefficient is 7.2 W/Km^2, the surface area is 16 m^2, the surface temp. is 317 K, and the surrounding temp. is 429 K.
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The rate of heat transfer by convection (kW) when the convective heat transfer coefficient is 7.2 W/Km², the surface area is 16 m², and the surface temp. is 317 K, and the surrounding temp. is 429 K.
Heat transfer is the method of exchanging heat energy from one location to another. The three methods of heat transfer are conduction, convection, and radiation. The rate of heat transfer by convection is given by;
Q = h.A (T surrounding - T surface)
Where Q is the rate of heat transfer by convection h is the convective heat transfer coefficient A is the surface area t surface is the surface temperature t surrounding is the surrounding temperature Given, h = 7.2 W/Km²
A = 16 m²t
surface = 317 Kt surrounding = 429 K.
Substitute the given values into the formula;
Q = 7.2 × 16 × (429 - 317)Q = 7.2 × 16 × 112Q = 12902.4 W = 12.902 kW
Therefore, the rate of heat transfer by convection is 12.902 kW.
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Identify the option that defines how positions are measured on the background in the following background property:
background: color url(url) position / size repeat attachment
origin clip;
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The option that defines how positions are measured on the background in the following background property: position.
What is positions?Positions are the places or orientations of objects relative to each other. They are used to describe the orientation of a physical object in space, or the physical location of an object in a two-dimensional or three-dimensional environment. Positions can be described in terms of x, y and z coordinates, which are used to denote the position of an object in a three-dimensional space. Positions can also be described in terms of angles and distances, which are used to denote the orientation of an object in a two-dimensional space. Positions can be used to describe the location of an object in relation to another object in a scene, or the relationship between different objects in the same scene.
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which of the following is used to process and display browser database application forms, reports, and queries?
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The following is used to process and display browser database application forms, reports, and queries: Web Application Server (WAS) is a server that uses web application server technology to deliver web-based applications.
It is a program that manages user requests for web pages and is responsible for generating content that is returned to the user's browser. A Web Application Server is responsible for translating browser requests into database queries that generate the desired output in the form of web pages. A web application server's primary purpose is to deliver web pages that are dynamically generated.
When web users request information from a database via an application, the web application server will interact with the database on the user's behalf. The following are some of the features of web application servers: Database connectivity support is provided. Session management is supported.
Security authentication and authorization for users is provided. Processing of complex business logic is supported. Support for multiple languages is provided. Logging and auditing capabilities are provided in a web application server. A web application server's core responsibility is to provide a runtime environment for web applications. It enables developers to create and deploy applications that can be accessed via the web.
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A homogeneous beam of triangular cross section is subjected to a pure bending moment as shown in figure (a). Figure (b) indicates the cross section with centroid C as the origin of the coordinate system. In which point of the cross section is the magnitude of normal stress greatest? (a) y (b) fy Mz O (a) Point B O (b) Point C (c) Points A and B (d) Point A O (e) Not enough information to tell
Answers
The magnitude of normal stress is greatest at point D. Point A in the triangular cross-section of a homogeneous beam subjected to a pure bending moment.
The cross-section of a homogeneous beam of triangular cross-section, the point of the cross-section where the magnitude of normal stress is the greatest is Point C.
Normal stress is a type of stress that occurs in a member when a force is applied perpendicular to the member's cross-section. It is calculated using the formula: σ = F/A
Where,σ = normal stress, F = the applied force, and A = the cross-sectional area of the member.
Now, let us consider the cross-section of the beam in question:
The centroid of the cross-section is at point C. This means that the cross-section is symmetric with respect to the y-axis. When a pure bending moment is applied to the beam, it causes the top of the beam to compress and the bottom of the beam to stretch. This creates a normal stress that is maximum at the top and minimum at the bottom.
Since the cross-section is symmetric, this maximum normal stress will occur at a point equidistant from the top and bottom of the beam. This point is point C. Therefore, the point of the cross-section where the magnitude of normal stress is the greatest is Point C.
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Add some source code files to compile. Output a half pyramid of stars with a height determined by the user. If the user enters a number less than one, exit. Hint: See chapter 4's discussion of this type of problem. Test Case 1 Standard Input 5 Required Output Enter a height in * in in In *** n ***** in Standard Input 10 Required Output Enter a height\n in In ** ***** I\n ***** in ***** in \n n in
Answers
A pattern program which has a pyramid shape is called the pyramid program in Java.
CODEpackage javaprograms;
import java.util.Scanner;
public class PatternHalfPyramid {
public static void halfPyramid(int n) {
int i, j;
for(i=0; i<n; i++) {
System.out.print(" ");
for(j=0; j<=i; j++) {
System.out.print("* ");
}
System.out.println();
}
}
// Main Function
public static void main(String args[]) {
Scanner scan = new Scanner(System.in);
System.out.print("Enter a height : ");
int num = scan.nextInt();
if (num >0) {
halfPyramid(num);
}
else {
System.out.print("Try Again! Kindly enter height more than 0 ");
System.exit(0);
}
}
}
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Suppose that the current value of PC is 0x00004000. Can we use a single jump instruction to go to PC= 0x20014924?(if yes, write the jump instruction and show the value of the immediate field in Hex. If not, use a combinations of instructions to do so and show the immediate values in Hex)
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No, we cannot use a single jump instruction to go from PC = 0x00004000 to PC = 0x20014924, since the jump instruction can only jump to a location within a certain range of the current PC value.
To jump to 0x20014924, we would need to use a combination of instructions, such as a branch instruction and a jump instruction. Here is an example of how we could do this:
Add the immediate value 0x20010924 to the current PC value 0x00004000 using the addi (add immediate) instruction:
addi $t0, $zero, 0x20010924
add $t0, $t0, $zero
Branch to the new address using the jalr (jump and link register) instruction:
jalr $zero, $t0, 0
The immediate value for the addi instruction would be 0x20010924, and the immediate value for the jalr instruction would be 0, since we want to jump to the address stored in register $t0.
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