According to Eq. (21), the amplitude of forced steady periodic oscillations for the system mx'' + cx'

Question:

According to Eq. (21), the amplitude of forced steady periodic oscillations for the system mx'' + cx' + kx = F₀ cos ωt is given by

(a) If c ≧ c_cr/√2, where c_cr = √4km, show that C steadily decreases as ω increases.

(b) If c < c_cr/√2, show that C attains a maximum value (practical resonance) when

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

Step by Step Answer:

Related Book For book-img-for-question

Differential Equations And Linear Algebra

ISBN: 9780134497181

4th Edition

Authors: C. Edwards, David Penney, David Calvis

See More Books

Question Posted: Aug 18, 2023 02:40 AM

See More Questions

As indicated by the cart-with-flywheel example discussed in this section, an unbalanced rotating machine part typically results in a force having amplitude proportional to the square of the frequency...
Carter, Inc. produces two different products, Product A and Product B. Carter uses a traditional volume-based costing system in which direct labor hours are the allocation base. Carter is considering...
The temperature coefficient of resistivity a is given by Where p is the resistivity at the temperature T. Equation (25.6) then follows if a is assumed constant and much smaller than (T T0)-1 (a) If a...
The following recreation demand function is for a beach: x = 4 (p/500) + q. The visitation amount is represented by x (times), the travel cost is represented by p (yen), and the water quality is...
What are three ways in which JIT and quality are related?
What is the minimum diameter at section (1) to avoid cavitation at that point? Take $D_{2}=15 \mathrm{~cm}$. FIGURE P5-59 Water 5 m (1) (2)
6. Why do company growth rates typically converge much more quickly toward the average rate across all companies than their rates of ROIC, given that both ultimately depend on the underlying product...
Dr. Smith learned that one sorority on campus had purchased several Macintosh computers and another sorority had purchased several Windows-based computers. Dr. Smith was interested in whether the...
Gomez, Inc. sells machinery and equipment to warehouses. Most sales are on account. On April 1, 2017, the company has a debit balance of $220,000 in accounts receivable and a credit balance of...
A programmable calculator or a computer will be useful for Problems 11 through 16. In each problem find the exact solution of the given initial value problem. Then apply the RungeKutta method twice...
In Problems 21 through 30, set up the appropriate form of a particular solution y p , but do not determine the values of the coefficients. y" + 3y' + 2y = x(e -x - e -2x )
Identify the four major sections of the auditors standard (unmodified) report and the major contents of each section.
A certain random process $U(t)$ takes on equally probable values +1 or 0 with changes occurring randomly in time. The probability that $n$ changes occur in time $\tau$ is known to be \[...
The focal points of the two converging lenses shown in Figure P33.121 are denoted by solid dots for the left lens and open dots for the right lens. Draw a simplified ray diagram to locate the final...
Suppose that country A has 9,000 worker hours available for production and that it initially has the technology given by case 3 of Exercise 1. Derive its PPF and determine its exact dimensions. data...
The table shows experimental values of the variables x and y. The variables are known to be related by the equation y = a e nx where a and n are constants. a. Draw the graph of ln y against x. b....
Construct the Nyquist diagram for a single-degree-of-freedom system with hysteretic damping.
I wish to conduct an experiment to determine the effectiveness of a new language arts program for tenth grade students in my local school district (there are two high schools with a total of...
Interview managers at three companies in your area about their use of ERP. How have their experiences been similar? What accounts for the similarities and differences?
As n increases, the SD for p ________________ (increases, decreases) more and more ______________ (slowly, quickly).
You have an ordinary six-sided die, but you suspect it may be loaded. If the die is fair, then the probability of rolling a 6 equals 1/6. a. Let = the probability of rolling a 6. To estimate to...
Ordinary dice have six equally likely sides. You can buy dice online with (A) 4 sides, (B) 6 sides, (C) 8 sides, or (D) 10 sides. Suppose you want to estimate the probability of rolling a 1 for each...
Slow Roll Drum Co. is evaluating the extension of credit to a new group of customers. Although these customers will provide $198,000 in additional credit sales, 13 percent are likely to be...
Wendell's Donut Shoppe is investigating the purchase of a new $39,600 conut-making machine. The new machine would permit the company to reduce the amount of part-time help needed, at a cost savings...
1.Discuss the challenges faced with Valuing Stocks and Bonds. As part of this discussion, how will the selected item be implemented in an organization and its significance? 2. Discuss how Valuing...

According to Eq. (21), the amplitude of forced steady periodic oscillations for the system mx'' + cx'

Question:

C(w) = Fo √(k-mw²)² + (cw)²

Step by Step Answer:

a Therefore if c 2 c cr 2 2 2km it is clear from the numerator that C 0 for al...View the full answer

Differential Equations And Linear Algebra

Students also viewed these Mathematics questions