Question: f(1) K 25 1. x (?) Consider a mass spring dashpot system which is modelled by max +cx +kx = f(t) with the initial conditions

f(1) K 25 1. x (?) Consider a mass spring dashpot system which is modelled by max +cx +kx = f(t) with the initial conditions x (0) = 0, x (0) = 1 where the imposed external force is f (t) = 2sin(2t), the mass is m = 1, the spring constant is k = 8, and the dashpot impedance is c = 6. To find the position function x(t), please solve the following equation: By LAPLACE TRANSFORM METHOD, solve step by step the IVP x + 6. + 8x = 2sin (2t) , x (0) = 0, x (0) = 1. (The answers including other methods will be worth "zero" points)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Given a mass m, a dashpot constant c, and a spring constant k, Theorem 2 of Section 5.1 implies that the equation has a unique solution for t 0 satisfying given initial conditions x (0) = x 0 ,...

please answer in python. Let's study the motion of a system of N identical masses joined by identical linear springs (see the picture below) 000 700 000 The horizontal displacements x; of masses i =...

Re-posting this please answer me correctly in only MATLAB Sample codes (for part (a)): %% Script file project1.m %% Definition of system parameters: global m c k global x0 v0 m = 1e3; k = 81e3; % c...

Do it in MATLAB, Thanks function x = frsp_sdof(t) % Free response function of a SDOF system global m c k global x0 v0 wn = sqrt(k/m); % natural frequency ("omega_n") zeta = c/2/sqrt(k*m); % damping...

Write down the change equation for this system. Indicate what each term represents and include the units for each term. Exercise C. Consider the mass-spring systeln described on pp. 32-34 in the...

watch the three short clips below then answer the questions Copy and paste the three links below 1) Projectile Motion https://www.nsf.govews/mmg/mmg_disp.jsp?med_id=72205&from= 2) Newton's Second Law...

This assignment requires you to go through the laborious but rewarding process of finding the solution to a second-order differential of the form mx" cx' + kx = Fo cos wt This situation can be...

Please answer. Thank you 3. Defining the Total Potential Energy. We know that when a force is conservative, we can calculate the work done by that force W = and define the potential energy according...

PLEASE ANSWER ALL THE ANALYSIS QUESTIONS based on data! (Bottom Page) 2. The interface . Set the Motion Setup the equipment and place a single book or object under one end of the Dyna that it forms a...

Formulas to use to solve the questions below. And use exactly the same formulas as they are in the images below. Same letters and variables in the formulas should be used to solve the problems...

Use determinants to find which real values of c make each of the following matrices invertible. (a) (b) (c) c11 314 5

Big City Carl, a local politician, is pushing a new dock and pier system at the river to attract new commerce to the city. A committee appointed by the mayor (an opponent of Carl) has developed the...

You owe me rent. You sign your $ 1 0 0 paycheck over to me . The $ 1 0 0 check is wrong as you were paid too much. You never tell me you were paid too much. Which is true?

Fictitious Commercial Bank is planning to set up an ATM machine at a shopping mall. The machine will cost the bank $60,000. The assumption of the management is that the ATM will reduce the per cash...