vibrations - show all steps and solutions Find the solution of equation when the forcing function is unit impulse at t = 0and determine the initial and the steady state value of the response.cx(t) + kx(t) = 8(t)

Note: if you have any doubt, ask in clarification request, not in comment

Answered: Find the solution of equation when the…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

3 Problem Consider the following model of a mechanical system: The system has a mass m, a linear spring with stiffness k, and two identical dampers with damping constant b. The left wall generates an input motion xin (t) that causes the mass to undergo a displacement x(t) from its equilibrium position. The initial position and velocity are zero. • Find the ODE describing the motion of the system by drawing a free-body diagram and applying Newton's 2nd Law. Your answer should be in terms of the following variables: Xin Xin, X, X, x, b,k, m Show that the transfer function is G(s) = - X(s) Xin(s) = 2b m k s+ m k s²+ + m When taking the Laplace transform L[xin(t)] you may assume the initial (input) condition Xin(0) = 0.
Problem 1: Laplace Transforms For a spring-mass-damper system with the following characteristics m = 70 k= 707 C = 69 Xo = 0 m/s Vo = 0 m/s If an forcing function F(t) = 100tet N is applied to the box at t = 0s, find x(t) for the system analytically. HINT: I STRONGLY suggest that you use the Laplace transform method. Please box your final x(t), and plot your solution.
6. Compute the response of 0 12 -2 * (t) + x (t) = 0 10 -2 12 where the initial conditions are x (0) = [ 11 ] and x (0) = 0
Pravin
Given the ODE: y + by = 0. (a) (6 pts.) If b = 2/3 and y(t = 0) = 4, Solve for y and plot the system response for 10 seconds. (Make sure to label the graph) (b) (3 pts.) What would b need to be so that the time constant of the system were equal to 2 seconds?
obtain the free response of the following models with the initial conditions x(0) = 0 and x'(0) = -1 a. 3x'' + 21x' +30x = 0 b. 5x'' + 20x' + 20x = 0 c. 2x'' + 8x' +58x = 0
All values equal to 1
The state X(t) of a dynamical system is solution of equation 10x (t) + 30ax(t) = 40, with a = 13. Calculate the rise time of the response.
5. Calculate the constant A and for arbitrary initial conditions, xo and vo, in the case of the forced response given by x(t) = Aewnt sin (wat + ) + X cos (wt - 0)
4 Problem Find the Laplace transform fraction for the following function and rearrange it such that X(s)/F(s) is the only term on the left-hand-side: x(t) + 25wx (t) +w²x(t) = f(t) Assume the initial conditions are all zero, x(to) = x(to)= (to) = x (to) = 0 with initial time to = 0. Hint: Use the differentiation theorem.
7-3 Given the following homogeneous ODE 2ÿ +12y + 68y=0 with initial conditions y(0) = 3, (0) = 0 a. Does the homogeneous response exhibit oscillations? b. Estimate the time to reach steady state. c. Describe the nature of the homogeneous response (a sketch may help).
PLEASE SOLVE ALL THE QUESTION WITH KEYBORD AND GIVE ME FULL ANSWER WITH JUST KEYBOARD NOT HAND WRITTING , THANK YOU

SEE MORE QUESTIONS

Recommended textbooks for you

Elements Of Electromagnetics

Mechanical Engineering

ISBN:

9780190698614

Author:

Sadiku, Matthew N. O.

Publisher:

Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:

9780134319650

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:

9781259822674

Author:

Yunus A. Cengel Dr., Michael A. Boles

Publisher:

McGraw-Hill Education

Elements Of Electromagnetics

Mechanical Engineering

ISBN:

9780190698614

Author:

Sadiku, Matthew N. O.

Publisher:

Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:

9780134319650

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:

9781259822674

Author:

Yunus A. Cengel Dr., Michael A. Boles

Publisher:

McGraw-Hill Education

Control Systems Engineering

Mechanical Engineering

ISBN:

9781118170519

Author:

Norman S. Nise

Publisher:

WILEY

Mechanics of Materials (MindTap Course List)

Mechanical Engineering

ISBN:

9781337093347

Author:

Barry J. Goodno, James M. Gere

Publisher:

Cengage Learning

Engineering Mechanics: Statics

Mechanical Engineering

ISBN:

9781118807330

Author:

James L. Meriam, L. G. Kraige, J. N. Bolton

Publisher:

WILEY

SEE MORE TEXTBOOKS

Find the solution of equation when the forcing function is unit impulse at t = 0 and determine the initial and the steady state value of the response. cx(t) + kx(t) = 8(t)