The model of a certain mass-spring-damper system is 13x + 2x + kx = 10 sin t

Question:

The model of a certain mass-spring-damper system is

13ẍ + 2ẋ + kx = 10 sin ωt

Determine the value of k required so that the maximum response occurs at ω = 4 rad/sec. Obtain the steady-state response at that frequency.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

System Dynamics

ISBN: 978-0073398068

3rd edition

Authors: William Palm III

See More Books

Question Posted: Mar 17, 2016 03:26 AM

See More Questions

The model of a certain mass-spring-damper system is 10x + cx + 20x = f(t) How large must the damping constant c be so that the maximum steady-state amplitude of x is no greater than 3, if the input...
The model of a certain mass-spring-damper system is 10x + cx + 20s = f(t) Determine its resonant frequency r and its peak magnitude Mr if (a) = 0.1 and (b) = 0.3.
A mass-spring-damper system is described by the model m + c + kx = f (t) Where m = 0.25 slug, c = 2 lb-sec/ft, k = 25 lb/ft, and f(t) (lb) is the externally applied force shown in Figure. The forcing...
All adiabatic temperature changes occur as a result of a. changes in the absolute humidity of the air. b. expansion or compression of the air. c. changes is specific humidity d. the addition or...
Early in the basketball season, 12 college teams appeared to be outstanding. A panel of sportswriters and a panel of college basketball coaches were asked to rank the 12 teams. Their composite...
We asked a randomly selected group of customers to rate their shopping experience at a local department store on a scale of 10 100. The distribution we obtained can be written as: Ratings N (75,...
For the $180^{\circ}$ elbow and nozzle flow shown in Fig. P5.102, determine the loss in available energy from section (1) to section (2). How much additional available energy is lost from section...
Agatha is planning to start a new business venture and must decide whether to operate as a sole proprietorship or incorporate. She projects that the business will generate annual cash flow and...
A drone flying at a constant speed of 11/ms is currently located directly above a tree. The drone begins to descend towards a landing pad, as shown below. The tree and the landing pad are 380m apart,...
The following is a list of the six largest pharmaceutical and biotech companies in the world ranked by health-care revenue (in US$ millions). Use this information to construct a pie chart and a bar...
Use the following transfer functions to find the steady-state response yss(t) to the given input function f(t). a. T(s) = Y(s)/F(s) = 25/(14s=18), f(t) = 15sim 1.5t b. T(s) = Y(s)/F(s) = 15s/(3s+4),...
Determine the resonant frequencies of the following models. a. T(s) = 7/s (s2 + 6s + 58) b. T(s) = 7/((3s2 + I8s + 174)(2x2 + 8x + 58))
An experiment is designed to measure the partition coefficient, $K$, associated with the transfer of a pharmaceutical product through a polymer material. The partition coefficient is defined as the...
Record the following transactions in the sales journal: Jan. 15 Jan. 22 Jan. 27 Invoice # 325, sold goods on credit for $2,400, to Maroon 4, account # 4501 Invoice #326, sold goods on credit for...
Which of the following accounts are used when recording the sales entry of a sale on credit? A. merchandise inventory, cash B. accounts receivable, merchandise inventory C. accounts receivable, sales...
Assume a company has a $350 credit (not cash) sale. How would the transaction appear if the business uses accrual accounting? A. $350 would show up on the balance sheet as a sale. B. $350 would show...
Which of these accounts is an asset? A. Common Stock B. Supplies C. Accounts Payable D. Fees Earned
A customer discovers 60% of the total merchandise delivered from a retailer is damaged. The original purchase for all merchandise was $3,600. The customer decides to return 35% of the damaged...
Convert to degree measure. Round the answer to two decimal places where appropriate. 3
a. What is the cost of borrowing if Amarjit borrows $28 500 and repays it over a four-year period? b. How many shares of each stock would he get if he used the $28 500 and invested equally in all...
Compute the magnitude and direction of the gravitational field at a point P on the perpendicular bisector of the line joining two objects of equal mass separated by a distance 2a as shown in Figure...
A satellite of the Earth has a mass of 100 kg and is at an altitude of 2.00 x 106 m. (a) What is the potential energy of the satellite Earth system? (b) What is the magnitude of the gravitational...
How much energy is required to move a 1 000-kg object from the Earths surface to an altitude twice the Earths radius?
You are planning for retirement in 20 years and currently have $85,000 in a savings account and $25,000 in a mutual fund. Assuming your savings account returns 4% compounded semi-annually, while your...
An Italian company is expecting to receive Kuwait dinars in 9 months' time. The spot rate is Lire/dinar 5.467.Your Company could borrow in dinar at 9% per annum or in Lire at 14% per Annum No forward...
Gold coast organics has a total assets turnover of 2.5 and a net profit margin of 3.5 percent.the total debt ratio for the firm is 50 percent.calculate the gold coast organics return On equity.

The model of a certain mass-spring-damper system is 13x + 2x + kx = 10 sin t

Question:

Step by Step Answer:

The transfer function is From Table 922 r n 1 2 V 2 where n k13 We want r 4 Thus ...View the full answer

System Dynamics

Students also viewed these Classical Dynamics Of Particles questions