Consider a mass-spring system excited by a unit step function (the Heaviside function). mx + kx...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Consider a mass-spring system excited by a unit step function (the Heaviside function). mx + kx = $(t) The Heaviside function is given by: $(t) = 0; t < 0 1; t 20 Determine x(t) via convolution. Consider a mass-spring system excited by a unit step function (the Heaviside function). mx + kx = $(t) The Heaviside function is given by: $(t) = 0; t < 0 1; t 20 Determine x(t) via convolution.
Expert Answer:
Answer rating: 100% (QA)
The given system is described by the differential equation m xt k xt t where t is the Heaviside step function which is 0 for t 0 and 1 for t 0 The tas... View the full answer
Related Book For
Posted Date:
Students also viewed these mathematics questions
-
The second-order linear DE mx + bx + kx = 0 models vibrations of a mass m attached to a spring with spring constant k and damping constant b. For the nonlinear variations in Problems 17-20, use your...
-
vb1-3) The proper period of a mass spring system with a massless spring is 0.285s, with the mass hanging on the spring and the spring itself hanging on the ceiling. 0.7s after the start of the...
-
Abu Dhabi Construction (ADC) is a multinational company located in United Arab Emirates (UAE) just hired you to be the new financial executives. The multinational company has three subsidiaries which...
-
Identify each of the equations as representing either a circle, a parabola, an ellipse, a hyperbola, or none of these. (x + 1) 2 + (y + 1) 2 = 2(x + y + 1)
-
The reaction of ninhydrin with an ?-amino acid occurs in several steps. (a) The first step is formation of an imine by reaction of the amino acid with ninhydrin. Show its structure and the mechanism...
-
Use Lagrange's equations to derive the differential equations governing the motion of the systems shown in Figures P7.5. Use the indicated generalized coordinates. Make linearizing assumptions, and...
-
Russell Freightway provides freight service. The companys balance sheet includes Land, Buildings, and Motor-Carrier Equipment. Russell uses a separate accumulated depreciation account for each...
-
Data for Zumbrunn Company are presented in P13-5A. In P13-5A, Zumbrunn Companys income statement contained the condensed information below. Zumbrunns balance sheet contained the comparative data at...
-
1. Calculate or estimate the following for each firm in the industry: Price/ Price/ Cash Return Projected Industry Firms Earnings Sales Flow On Equity Growth A $274 $25,313 $1,803 11.60% -12.9% B...
-
Consider the antiplane strain problem of a distributed loading F (per unit length) along the entire z -axis of an infinite medium. This will produce an axisymmetric deformation field. Using...
-
TranscribedText: Problem 2. [25pts] For each of the following vector fields F find the curl. 1. (5pts) F : R3 -> R3 such that F I2 = I3 2TIT213 V X F(x) = 2. (5pts) F : R3 -> R3 such that F I2 = T2 +...
-
The following set of displacements were recorded over time intervals At = 0.01 seconds. What is the average value of the velocities calculated over each time interval? (Please provide your answer in...
-
A car travelling at a speed of 140km/h decelerates for 20 s. During this time it travels at 500 m . A) what is its deceleration in m/s 2 . b) what is its speed after the deceleration in km/h.
-
Many years into the future, football/soccer is the most popular sport on Mars. It is played inside an enclosed dome, since Mars still doesn't have a breathable atmosphere, but otherwise it's pretty...
-
RELATIONAL VIOLENCE: VERBAL ABUSE Purpose: 1. Examine the manner in which communication might be used as a form of relational abuse and violence. Directions: 1. Relational violence includes a range...
-
Chipotle estimates the value of the at the money stock options granted to the employees at $456.44 per share using the Black Sholes option pricing model. Looking at option prices in the open market...
-
Do not use functions for this assignment. 1. Write and test a PyDev module named te1.py. Copy your testing to testing.txt. This program calculates the annual tax paid by a company. The company's...
-
on 8 For the following set of lengths 130, 170, 160, 160, 150, 190 Third quartile is: et red d out of Select one: O a. 160 a question O b. 145 O c. 175 O d. 180
-
Design a PI controller to drive the step-response error to zero for the unity feedback system shown in Figure P9.1, where The system operates with a damping factor of 0.4. Design for each of the...
-
Find the range of gain, K, to make the system shown in Figure P13.7 stable. R(s) + 3K C(s) Hold s(s + 4) T= 0.2 FIGURE P13.7
-
For each system shown in Figure P7.17, find the following: a. The system type b. The appropriate static error constant c. The input waveform to yield a constant error d. The steady-state error for a...
-
An axial-flow pump is required to deliver \(0.75 \mathrm{~m}^{3} / \mathrm{s}\) of water at a head of \(15 \mathrm{~J} / \mathrm{kg}\). The diameter of the rotor is \(0.25 \mathrm{~m}\), and it is to...
-
A model propeller \(1 \mathrm{~m}\) in diameter is tested in a wind tunnel. Air approaches the propeller at \(50 \mathrm{~m} / \mathrm{s}\) when it rotates at \(1800 \mathrm{rpm}\). The thrust and...
-
Consider Problem 7.38. Experience shows that for ship-size propellers, viscous effects on scaling are small. Also, when cavitation is not present, the nondimensional parameter containing pressure can...
Study smarter with the SolutionInn App