Question: Let us consider a device that consists of a ball rolling on the inside rim of a hoop [11]. This model is similar to the

Let us consider a device that consists of a ball rolling on the inside rim of a hoop [11]. This model is similar to the problem of liquid fuel sloshing in a rocket. The hoop is free to rotate about its horizontal principal axis as shown in Figure E7.1. The angular position of the hoop may be controlled via the torque T applied to the hoop from a torque motor attached to the hoop drive shaft. If negative feedback is used, the system characteristic equation is

(a) Sketch the root locus.
(b) Find the gain when the roots are both equal.
(c) Find these two equal roots.
(d) Find the settling time of the system when the roots are equal.

Let us consider a device that consists of a ball

0 4 +H 2 Torque TU) Hoop Ball FIGURE E7.1 Hoop rotated by motor.

Step by Step Solution

★★★★★

3.52 Rating (155 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a For the characteristic equation the root locus i... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

835-C-S-S-A-D (1758).docx

120 KBs Word File

Students Have Also Explored These Related Systems Analysis And Design Questions!

Let us consider how we might translate a set of STRIPS schemata into the successor-state axioms of situation calculus. Consider the schema for Fly (p, from. to). Write a logical definition for the...

With a b-bit counter, we can ordinarily only count up to 2b 1. With R. Morris's probabilistic counting, we can count up to a much larger value at the expense of some loss of precision. We let a...

A computer consists of a CPU and an I/O device D connected to main memory M via a shared bus with a data bus width of one word. The CPU can execute a maximum of 106 instructions per second. An...

Supply Chain Management Introduction Outline What is supply chain management? Significance of supply chain management. Push vs. Pull processes utdallas.edu/~metin 1 A Generic Supply Chain Sources:...

I need a 10 page paper for my MIS class. Please do not copy and paste as my school is getting stricter on plagiarism. I have attached the assignment and the sample \fData Analytic Thinking 1 Data...

play.google.com + (105) The SAG-AFTRA Strike: Streaming Revenue, Al drama+did going WOKE c... Course Hero Strategy, Create and Implement the Best Strategy for Your Business - Google P... Strategy,...

7 Writing in the Workplace If writing must be a precise form of communication, it should be treated like a precision instrument. It should be sharpened, and it should not be used carelessly. Theodore...

University of Hartford Department of Civil, Environmental and Biomedical Engineering CE 320 Water Resources Engineering Spring Semester 2017 Lab #5 - Pump Performance Characteristics Report Outline...

1 2.3 Definition of a Discrete Probability Function Definition: Let S be a discrete sample space from some experiment. A function P, defined on all events in S, is said to be a probability function...

Question #1: The author gives several reasons why the blame cast on the EMH for the global financial crisis is unfounded. Which one makes the most sense to you? Why? Which argument do you disagree...

Obtain the Laplace transforms of the functions in Fig. 15.30. g(t) h(t) 0 2 3t 0 2 3 4 t

Read the following MCQs and rectify the errors: Question 1 Calco is a multi-divisional firm with a weighted cost of capital of 14 percent and a risk-adjusted discount rate for its can division of 17...

Questions ( 1 5 pts ) Consider an individual with an exponential annual discount factor i n ( 0 , 1 ] and per - period utility u ( c ) = c . Suppose the individual can receive $ 1 0 0 at: t = 1 ( one...

The variable x is increasing in quadrants I and III and decreasing in quadrants II and IV. The variable y is increasing everywhere. 0 IV x

Describe the six steps in a typical preliminary investigation. Why should an analyst be careful when using the word problem?

What is project scope? What are constraints? Provide an example of a mandatory, external, future constraint. Also provide an example of a discretionary, internal, present constraint.

Identify and briefly describe five common fact-finding methods.

5-11 Prob/Stat Unit 6 Project- Sampling Distributions You should use your calculator or a spreadsheet to do the calculations you need, be sure to explain what you did to get your answers. 1. What is...

CONTEXT: Malaysia leads in sustainable and responsible investing (SRI) sukuk issuance among the Asean6 countries, accounting for US$3.9 billion (RM16.33 billion) of issuance value or 56% of the total...

Des Chatels Corp. is comparing two different capital structures. Plan I would result in 10,000 shares of stock and $90,000 in debt. Plan II would result in 7,600 shares of stock and $198,000 in debt....