1 answer

21.6 A,B,C,D result given in part c of this exercise. 21.6. Consider a damped mass/spring system...

Question:

21.6 A,B,C,D
result given in part c of this exercise. 21.6. Consider a damped mass/spring system given by m dy gdy tr dt + ky = Fo cos(nt) where m. y. K and Fo are all positive constants. (This is the same as equation (214) a. Using the method of educated guess, derive the particular solution given by equation ser (21.10) on page 409. genelaidi b. Then show that the solution in the previous part can be rewritten as described by equation set (21.11) on page 409; that is, verify that the solution can be written as Dengan ypt) C cos(nt - 0) bios where the amplitude of these forced vibrations is S. Fo C = vík – mn2] + n2y2 1 DO Uus Ilustrate the
and satisfies cos(0) = and sin() = B y2 2m2 Next, by finding the maximum of C with respect to show that the angular resonant frequency of the system is and that the corresponding maximum amplitude is provided y <2km. What happens if, instead, y 22km ? d. Assume that y < V2Km. Then the system is underdamped and, as noted in chapter 16. the general solution to the corresponding homogeneous equation is 415 no = y (1) = cje of cos(wt) + c2eaf sin(at) where a is the decay coefficient and w is the angular quasi-frequency. Verify that this w the resonant angular frequency no, and the natural angular frequency ory of the corresponding undamped system are related by 2m Fo Y4km - 2 (70)2 + 2) = w? = (es)? - () and, from this, conclude that no <o<w.

Answers

Similar Solved Questions

1 answer
Question 10 A wheel, starting from rest, rotates with a constant angular acceleration of 3.50 rad/s2....
Question 10 A wheel, starting from rest, rotates with a constant angular acceleration of 3.50 rad/s2. During a certain 6.00 s interval, it turns through 122 rad. (a) How long had the wheel been turning before the start of the 6.00 s interval? (b) What was the angular velocity of the wheel at the sta...
1 answer
What are the responses to challenges in the post maturity stage.
what are the responses to challenges in the post maturity stage....
1 answer
Many consumers pay careful atention to contents on packaged foods when making purchases, so stated nutri- that a random sample of n 12 frozen dinners of a Suppe was selected and the calorie content o...
Many consumers pay careful atention to contents on packaged foods when making purchases, so stated nutri- that a random sample of n 12 frozen dinners of a Suppe was selected and the calorie content of each one certai n type ned. Below are the resulting observations, along with a boxplot and a normal...
1 answer
Consider the following amino acid for questions 3a - 3c. Is this a diprotic amino acid?...
Consider the following amino acid for questions 3a - 3c. Is this a diprotic amino acid? In the box provided, draw the titration curve if this molecules is titrated with 1m NaOH....
1 answer
Exercise 3-2 Comparing a merchandising company with a service company The following information is available for...
Exercise 3-2 Comparing a merchandising company with a service company The following information is available for two different types of businesses for the 2018 accounting year. Hopkins CPAs is a service business that provides accounting services to small businesses. Sports Clothing is a merchandisin...
1 answer
Ph3P=CHCH3 Ph3P=CH2 Butanal
Ph3P=CHCH3 Ph3P=CH2 Butanal...
1 answer
The second question please Three point charges are placed on the x-y plane: a +35.0 nC...
the second question please Three point charges are placed on the x-y plane: a +35.0 nC charge at the origin, a-35.0 nC charge on the x axis at 10.0 cm, and a +120 nC charge at the point (10.0 cm, 8.00 cm). 1) Find the x component of the total electric force on the +120 nC charge due to the other tw...
1 answer
How many triangles are possible with I gikai angle A=1350, a 12m, b = 15 m²
How many triangles are possible with I gikai angle A=1350, a 12m, b = 15 m²...
1 answer
21. [-/1.13 Points) DETAILS DEVORESTAT7 8.P.031. MY NOTES ASK YOUR TEACHER PRACTKE ANOTHER 9;" In an...
21. [-/1.13 Points) DETAILS DEVORESTAT7 8.P.031. MY NOTES ASK YOUR TEACHER PRACTKE ANOTHER 9;" In an experiment designed to measure the time necessary for an inspector's eyes to become used to the reduced amount of light necessary for penetrant inspection, the sample average time for = 9 Ins...
2 answers
How do you convert -300 degrees to radians?
How do you convert -300 degrees to radians?...
1 answer
1 answer
3. (10 marks) For the following indicated products give the appropriate starting material required, including any...
3. (10 marks) For the following indicated products give the appropriate starting material required, including any required stereochemistry, along with any other required reagents and solvents. Be specific! 3. (10 marks) For the following indicated products give the appropriate starting material req...
1 answer
Forces behind the development of major innovation s across time? What role did economics play in...
forces behind the development of major innovation s across time? What role did economics play in the innovation process and outcome? What are the driving the...