Question: The differential equation for a second-order system that has undergone a unit step change is as follows. d2x(t)dx(t)+6x=2a(t)5dtdt2 a. Find the time constant and the

The differential equation for a second-order system that has undergone a unit step change is as follows. d2x(t)dx(t)+6x=2a(t)5dtdt2 a. Find the time constant and the damping ratio of the transfer function of this system (x(0)=x(0)=0). b. Show by drawing a graph how a damping will occur. c. Interpret the effect of roots on stability by showing them on the complex plane. The differential equation for a second-order system that has undergone a unit step change is as follows. d2x(t)dx(t)+6x=2a(t)5dtdt2 a. Find the time constant and the damping ratio of the transfer function of this system (x(0)=x(0)=0). b. Show by drawing a graph how a damping will occur. c. Interpret the effect of roots on stability by showing them on the complex plane

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

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

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Chemical Engineering Questions!

For a second - order system with the transfer function of: G ( s ) = 1 0 4 s 2 + 0 . 1 s + 1 a ) Determine the damping factor and time constant. b ) For a unit step change, plot the response Y ( t )...

Time Series Data Mining: A Case Study With Big Data Analytics Approach ABSTRACT Time series data is common in data sets has become one of the focuses of current research. The prediction of time...

Republic of Iraq Ministry of Higher Education and Scientific Research University of Technology Chemical Engineering Department MODELING AND SIMULATION OF FCC RISERS A RESEARCH SUBMITTED TO THE...

Submit the MATLAB script . m file on Course Canvas. Remember to use good coding practices by keeping your code organized, choosing suitable variable names, and commenting where applicable. Any of...

When a system oscillates over a fixed aperture, it can be considered to contain a mass - spring - damper set - up . This common model is often utilized in engineering applications and mathematical...

Controller, Judy Koch, in a recent speech said, "I rarely see a real variable cost or a truly fixed cost." What did she mean? Include in your response an explanation of the difference in behavior of...

system dynamics Part 1) Select one of the systems given below i) A translational mechanical second order system ii) A Rotational mechanical second order system iii) An Electrical second order system...

Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...

James Arnold is the sole proprietor of an internet business (Handy Hints) that provides handyman advice and tips for do-it-yourself home improvement projects. The site also serves as a portal for...

Transactions for the George Lynch Company for the month of June are presented below. Identify the accounts to be debited and credited for each transaction. June 1 George Lynch invests $5,000 cash in...

They want to save for a 2 0 % down payment on their first home. The current market value of the house is $ 1 5 0 , 0 0 0 . Property taxes would be $ 1 , 8 0 0 annually, and the annual homeowners...

In C++. Write a program that produces a bar chart showing the population growth of Prairieville, a small town in the Midwest, at 20-year intervals during the past 100 years. The program should read...