As shown in the figure, a spring-masssystem resting on an inclined plane isQ1 subjected to a harmonic force. Find theresponse of the system by assuming zeroinitial conditions.k = 4000 N/mm-100 kg/0-20°f(t) 500 cos 251 N

Answered: Image /qna-images/answer/ad33ac8f-80c8-4186-8892-4faac7e78987.jpg

Answered: As shown in the figure, a spring-mass…

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

2- Two mass-spring systems A & B both have stiffness of k-10 N/m. The mass of system A is twice the mass of system B (mA=2mg= 1 kg), which system will oscillate faster? Why? Support your answer with a plot.
Consider the two-degrees-of-freedom mass-spring system below. Assume m₁ = 30 kg, m2 = 35 kg. If the second natural frequency of the system is 100 rad/s, the value of stiffness k is www. k₁=k k₂ = k k3= k 174.41 kN/m 107.38 kN/m 140.93 kN/m 39.24 kN/m 73.62 kN/m Next 000 00 Previous 4 x₁ (t) x₂ (t) m₁ m₂. mm
1- Two mass-spring-damper systems A & B. System A has = 0.1 and wn = 20 rad/sec, and system B has < = 0.3 and w₁ = 5 rad/sec. Which system will vibrate longer in time? Why?
F(1) Spring m. Ball Dashpot Find the motion of the mass-spring system with the driving force F(t) shown above for the given data. [Hint: Read Forced Oscillations notes.] e-2t, 0 2 y(0) = 1, y'(0) =-1.5.
Consider the mass-spring system shown in the figure below. Assume the natural frequency of the system is wn = 10 rad/s. The system is subject to a time-dependent force Fo cos (wt) N, where Fo = 0.3m N and w = 2wn rad/s (m: mass in kg). The system is subjected to initial displacement and velocity, i.e. xo = 10 mm and vo = 30 mm/s. The response of the system at t = 24 s is: Displacement x(t) F = F,cos(wt)I m 21.63 mm 5.77 mm 7.21 mm 3,61 mm 43.26 mm ООООО
An undamped spring/mass system, in which m = 8 slugs and the spring constant k = 16 lb/ft has a driving force f(t) = t^pi*t on [0,pi] Extend f(t) into the negative t-axis to obtain an odd function. Find the particular solution ??(?). (Note: f(t) is given as half of the period, p = π.)
Anil
answer ASAP would be appreciated
I Review Use a block-and-spring model like that shown in the figure, but suspended from a vertical position and subjected to a periodic support displacement 8 = 8psinwnt, determine Express your answer as an equation in terms of some or all of the variables y, a (a = y), ki, m, wn (wn = V). wn, t, and on. the equation of motion for the system, and obtain its general solution. Assume positive displacement is downward. (Figure 1) Va AZo| t vec k la+ m k sin @, t m That's not quite right. Please check your formatting and try again. No credit lost. Try again. Submit Previous Answers Request Answer Part B Obtain the general solution of the above equation. Figure 1 of 1 Express your answer in terms of some or all of the variables A, B, t, k, m, wn (Wn = 1/), 80, and wo. V ΑΣφ vec Equilibrium position A sin (@,1) +B cos (@,1) sin (@,) mw,“ 1- k y = Bd8 = 8, sin d Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining
Consider the double mass/double spring system shown below. - click to expand. Both springs have spring constants k, and both masses have mass m; each spring is subject to a damping force of F friction We can write the resulting system of second-order DEs as a first-order system, w'(t) = Aw(t), with w = (x₁, x₁, x₂, x₂) T For values of k = 4, m = 1 and c = 21,2 = 0.5±3.2i, V₁ 23,4= - 0.5 ± 1.13i, V3 1, the resulting eigenvalues and eigenvectors of A are -0.039 0.248i 0.813 0.024 +0.153i -0.502 -0.134-0.302i' 0.409 -0.216 - 0.489i 0.661 and (a) Find a set of initial displacements x₁(0), x₂(0) that will lead to the fast mode of oscillation for this sytem. Assume that the initial velocities wil be zero. (x₁(0), x₂(0)) Enter your answer using angle braces, (and ). cx (friction proportional to velocity). (b) At what frequency will the masses be oscillating in this mode? Frequency = rad/s
The uniform bar shown in the attached figure is pivoted at point O. Its motion is controlled by three springs and a damper as illustrated; find the value of the damping coefficient C, if the damping ratio is to be 0.4. Given the following data Data: k₁-7000 N/m, k₂=8000 N/m, ky 10000 N/m, M = 12 kg, b=0.4 m a=0.2 m J-0.5 Kg.m² Lif ww Bar MJ $0 www.m
3

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

As shown in the figure, a spring-mass system resting on an inclined plane is Q1 subjected to a harmonic force. Find the response of the system by assuming zero initial conditions. k = 4000 N/m m-100 kg/ 0-20° f(t) 500 cos 251 N