The differential equation of a spring/mass system is x'' + 16x = 0. If the mass is

Question:

The differential equation of a spring/mass system is x'' + 16x = 0. If the mass is initially released from a point 1 meter above the equilibrium position with a downward velocity of 3 m/s, the amplitude of vibrations is _______ meters.

Answer problem without referring back to the text. Fill in the blank or answer true/false.

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

Step by Step Answer:

Related Book For book-img-for-question

A First Course in Differential Equations with Modeling Applications

ISBN: 978-1111827052

10th edition

Authors: Dennis G. Zill

See More Books

Question Posted: Sep 30, 2020 07:19 AM

See More Questions

A mass m is attached to the end of a spring whose constant is k. After the mass reaches equilibrium, its support begins to oscillate vertically about a horizontal line L according to a formula h(t)....
A spring-mass system has a natural frequency of 10 Hz. When the spring constant is reduced by 800 N/m, the frequency is altered by 45 percent. Find the mass and spring constant of the original system.
The differential equation of salt conservation for flowing seawater is where κ is a (constant) coefficient of diffusion, With typical units of square meters per second, and S is the salinity in...
Solve the linear equation with the x-intercept method. Check your answer. Approximate the solution to the nearest thousandth whenever appropriate. -1-x = = 0
The income deficiency payment program is a counter-cyclical program. Explain.
breakdown the financial performance of Metropolitan over a period of their 5-year strategy. what has been its financial position?
A large MNE in the cookware industry was having difficulties maintaining its market share due to a number of mergers among other competing firms in the industry. The MNE, with corporate headquarters...
The following information was drawn from the annual report of Sierra Home Builders (SHB). Required a. Compute the percentage of growth in net income from 2016 to 2017. Can stockholders expect a...
Problem 3.1 (5 pts) Consider a 2-layer fully-connected NN, where we have input x = R1, hidden feature x2 = Rmx1, output x3 E Rkx1 and weights and bias W = Rmxn, W2 Rkxm, b = Rmx1, b2 E Rkx1 of the...
Is intentionally de-emphasizing bad news the same as distorting graphs and charts to de-emphasize unfavorable data? Why or why not?
The period of simple harmonic motion of mass weighing 8 pounds attached to a spring whose constant is 6.25 lb/ft is _______ seconds. Answer problem without referring back to the text. Fill in the...
Pure resonance cannot take place in the presence of a damping force. ______ Answer problem without referring back to the text. Fill in the blank or answer true/false.
How long does it take a worker producing 200 W of power to do 10,000 J of work?
You have a flask weighing 1 2 1 . 2 1 4 g . To this flask, you added 2 5 . 0 0 mL KCl ( aq ) solution. You weigh the flask, it is now 1 5 0 . 2 3 4 g . You then take the flask to a heating source and...
Observe the following structure and choose the correct statement. O= 1C 2C=0 3 CH3 This compound is oxidized and decarboxylated by the PDH enzyme This compound is reduced by the PDH enzyme C1 binds...
2.1 grams of urea is dissolved in 51.67 grams of water. The water had an initial temperature of 19.47 C before the urea was added. After the urea was dissolved in the water, the temperature of the...
A. n= n=4 n=3 n-2 n=1 B. n= n=4 n=3 n=2 n=1 1. Absorption 2. Emission 3. Ionization C. n= . n=4 n=3 n-2 n=1 n=x n=4 n=3 Classify each of the hydrogen atom transitions above. Put letters in...
Two vectors are given as follows: =7.1-61+5.6k B=5.91 +5.21-5.2k Find the scalar product of the two vectors. Express your answer using one decimal place. If your answer is negative, do not forget the...
Solve the problem below, calculate the ratios, interpret the results against the industry average, and fill in the table on the worksheet. Then, provide an analysis of how those results can be used...
Quadrilateral EFGH is a kite. Find mG. E H <105 G 50 F
The differential equation x(y') 2 4y' 12x 3 0 has the form given in (4). Determine whether the equation can be put into the normal form dy/dx = f (x, y).
The normal form (5) of an nth-order differential equation is equivalent to (4) whenever both forms have exactly the same solutions. Make up a first-order differential equation for which F(x, y, y') 0...
Find a linear second-order differential equation F(x, y, y', y'') = 0 for which y = c 1 x + c 2 x 2 is a two parameter family of solutions. Make sure that your equation is free of the arbitrary...
( support your answer with one academic reference and non-academic or industry reference ). Every year, as a CEO of a company, you are required to make an annual formal report. In your opinion, what...
Question 1 Apple is back under the spotlight over labor conditions in its supply chain following an explosive report from The Information on Thursday that revealed new details about the company's...
How does the 360-degree feedback method address the court's six stress issues depicted in Gerhart and Newman's reading? Since the Brito case, there has been growing evidence that the courts have very...

The differential equation of a spring/mass system is x'' + 16x = 0. If the mass is

Question:

Step by Step Answer:

x 16x 0 x x A cos 4t B sin4t t 0 x 1 t 0x 3 A...View the full answer

A First Course in Differential Equations with Modeling Applications

Students also viewed these Mathematics questions