Consider the damped mass-spring system for a mass of 1.5 kg, spring constant 10 N/m, damping 3 kg/s, and an oscillating force \(4.7 \cos(\omega t)\) Newtons. That is,\[ 1.5x'' + 3x' + 10x = 4.7 \cos(\omega t). \]What positive angular frequency \(\omega\) leads to maximum practical resonance?\[\omega = \_\_\_\_\_ \quad \text{help (numbers)}\]What is the maximum displacement of the mass in the steady state solution when we are at practical resonance:\[C(\omega) = \_\_\_\_\_ \quad \text{help}\]

Answered: Image /qna-images/answer/b1b790ff-b30b-4be3-a83d-7fcbf16134f0.jpg

Answered: Consider the damped mass-spring system…

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

A 2-kg block attached to an Ideal massless spring and fixed on the other end on a horizontal frictionless surface. This block oscillates with an amplitude of 0.5 m and reaches a maximum speed of 2 m/s. What is the spring constant in N/m?
Consider a place where the gravity is one-ninth the gravity on Earth (g = g/9), then the frequency of oscillation of a simple pendulum in that place, f', as compared to its frequency on earth is:
Q4/ For the figure below the spring is used to stop a 10 kg package. If the maximum deflection in the spring is 70 mm, (a) the total work of the system in the figure below is: 8m/s #4 -0.25 /K-400N/m niu 10kg 0-30 500m
Consider the dynamic system shown below. Rod Pulley Rc Rod Pulley RA = 10 cm PIB 1A The following parameters are given for the system: m₂ = 1 kg RA mg mc 2 kg RB Rc 20 cm m₂ = 3 kg R₂ = 30 cm k = 1200 N/m Note that pulleys A and B are constrained to move together and pulleys C and D are constrained to move together. Useful note... a. Obtain the characteristic equation(s) for this system. b. The applied force is removed. Then, pulley A/B is turned 2 degrees and released from rest. Find the system response.
Underdamped Mass-Spring System Find and graph the motion of a damped mass-spring system with mass m = 0.25 slugs, spring constant k = 4 lb/ft. and damping constanl b = I lb sec/fl. The mass is initially pulled to the right s1re1ching the spring by I ft. and th:n released.
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
A model of a spring/mass system is 4x" + e-0.1tx = 0. Byinspection of the differential equation only, discuss the behaviorof the system over a long period of time.
A 1-kg block attached to an Ideal massless spring and fixed on the other end on a horizontal frictionless surface. This block oscillates with an amplitude of 0.3 m and reaches a maximum speed of 5 m/s. What is the spring constant in N/m?
Q3. The free vibrations system shown in Fig.3, the pulley has a mass (m), stiffness (k) and damper (c). If the mr2 moment inertia of the mass center for the pulley is I = Find out: 2 • The equation of motion. The natural frequency of the free vibrations system. Fim mit ka m m Fig.3: Free vibrations system.
Vibration Engineering. Please answer complete solution and correct units. Thank you.
A greedy cat of 4 kg is suspended at the end of the cabinet with a flap in which we store his treats (see the figure on the image). The valve is held in place by a rope attached to 5 cm from the pivot and acts at 10 in relation to the vertical. The damper is a homogeneous wood board of 2 kg mass and has an angle of 20 under the horizontal when opened. What is the tension module in the rope? 2. Determine the module of the horizontal and vertical forces exerted by the pivot.
PART OF MECHANICAL VIBRATIONS SUBJECT USE VIRTUAL WORK The uniform bar shown in Fig. P3.6 has mass m, length l, and mass moment of inertia 1 about its mass center. The bar is supported by two springs kı and k2, as shown in the figure. Obtain the differential equation of motion and determine the natural frequency of the system in the case of small oscillations.

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

Consider the damped mass-spring system for mass of 1.5 kg, spring constant 10 N/m, lamping 3 kg/s and an oscillating force 4.7 cos(@t) Newtons. That is,