Solve the following DE d?x dt2 + kx = f(t) (i) d?Q dQ (ii) +...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Solve the following DE d?x т dt2 + kx = f(t) (i) d?Q dQ (ii) + R dt2 = f(t) dt Hints: Step 1: First, express x, q(t) and f(t) as fourier series under different summation index e.g. I, m on each side Step 2: Combine all the terms on both sides under common E,g,(x) = Emhm(x) Step 3: Ensure same range of l and m, i.e, from 0→ o. Then set l = m = k Step 4: Equate the coefficients on both sides Solve the following DE d?x т dt2 + kx = f(t) (i) d?Q dQ (ii) + R dt2 = f(t) dt Hints: Step 1: First, express x, q(t) and f(t) as fourier series under different summation index e.g. I, m on each side Step 2: Combine all the terms on both sides under common E,g,(x) = Emhm(x) Step 3: Ensure same range of l and m, i.e, from 0→ o. Then set l = m = k Step 4: Equate the coefficients on both sides
Expert Answer:
Answer rating: 100% (QA)
To solve the given differential equation DE lets follow the provided hints Step 1 Express x Qt and f... View the full answer
Related Book For
Fundamentals of Physics
ISBN: 978-0471758013
8th Extended edition
Authors: Jearl Walker, Halliday Resnick
Posted Date:
Students also viewed these mathematics questions
-
A wood cube 0.30 m on each side has a density of 700 kg/m3 and floats levelly in water. (a) What is the distance from the top of the wood to the water surface? (b) What mass has to be placed on top...
-
A square metal plate 0.180 m on each side is pivoted about an axis through point 0 at its center and perpendicular to the plate (Fig. 10.39). Calculate the net torque about this axis due to the three...
-
Insect Collisions. A cubical cage 1.25 m on each side contains 2500 angry bees, each flying randomly at 1.10 m/s. We can model these insects as spheres 1.50 cm in diameter. On the average, (a) How...
-
A proposed project has fixed costs of $84,000 per year. The operating cash flow at 7,500 units is $93,000. Ignoring the effect of taxes, what is the degree of operating leverage? If units sold rise...
-
A firm borrowed $2 million and paid 10 percent interest this year. It also paid a dividend of $1 per share on 500,000 shares outstanding. What is the firms cash flow from financing?
-
Repeat Prob. 663 by assuming the shaft to have reached peak temperature and thus heat transfer to the shaft to be negligible, and the bearing surface still to be maintained at 50C. Data from problem...
-
For the standpipe system shown in Fig. P8.94, calculate the flow rate for \(H=4.0 \mathrm{ft}, D=6.77\) in., \(d=0.125\) in., and \(L=48\) in. The fluid is \(70^{\circ} \mathrm{F}\) water. Assume...
-
Visburg Concrete Company pours concrete slabs for single-family dwellings. Lancing Construction Company, which operates outside Visburg's normal sales territory, asks Visburg to pour 40 slabs for...
-
You think the political solutions presented by the author are still valid or are other strategies required? "A System at Risk is a comprehensive analysis of the transportation dilemma in the United...
-
The average owning and operating costs for four types of vehicles in the United States in 2016 include small sedans ($6579), medium sedans ($8604), SUVs ($10,255), and minivans ($9262). Use a Pareto...
-
Several procurement aspects are discussed in Purchasing strategy and organization. Select one that you believe has the most significance and describe why that facet is personally important to...
-
On August 6, it was 80o F in New York City, so it was twice as hot as on December 7, when it was 40 F. Determine whether the given statement represents a meaningful ratio, so that the ratio level of...
-
Home nations (such as U. S., France, Kenya) of runners in a marathon Determine whether the data described are qualitative or quantitative and give their level of measurement. If the data are...
-
There are now 143,781,202 registered passenger cars, and in 1980 there were 121,601,000. For each pair of values, use a percentage to express their relative change or difference. Use the second given...
-
The percentage of the worlds population living in developed countries decreased from 27.1% in 1970 to 19.5% now. Describe changes in which the measurements themselves are percentages. Express each...
-
An American Airlines agent tells you that you must pay a surcharge because your checked bag weighs 23.018 kg, which exceeds the limit of 23 kg, and that theres no doubt that the scale is correct...
-
Murphy's, Incorporated, has 75,000 shares of stock outstanding with a par value of $1 per share. The market value is $10 per share. The balance sheet shows $73,500 in the capital in excess of par...
-
Parkin Industries, a U.S. company, acquired a wholly-owned subsidiary, located in Italy, at the beginning of the current year, for 200,000. The subsidiary's functional currency is the euro. The...
-
Isaac Newton, having convinced himself (erroneously as it turned out) that chromatic aberration is an inherent property of refracting telescopes, invented the reflecting telescope, shown...
-
We move a particle along an x axis, first outward from x = 1.0 m to x = 4.0 m and then back to x = 1.0 m, while an external force acts on it. That force is directed along the x axis, and its x...
-
In Figure, what magnitude of (constant) force F applied horizontally at the axle of the wheel is necessary to raise the wheel over an obstacle of height h = 3.00 cm? The wheel's radius is r = 6.00...
-
As the marketing manager for Independent Packaging Pty Ltd, you have asked the accountant what it costs to make the Container2000 model because you want to set a price for the container. A similar...
-
Incomplete information concerning the financial performance of two manufacturing companies is presented below. Required Determine the answers to (a) to(f) for the two companies. Work in process,...
-
Smart Manufacturing Systems Pty Ltd uses a periodic inventory system and closes its accounts on 30 June each year. The companys closing entries made on 30 June 2025 were as shown below. Required (a)...
Study smarter with the SolutionInn App