Answered: 3. A washing machine of mass 70kg…

3. A washing machine of mass 70kg operates at 1600 rpm. Find the maximum stiffness of an isolator that provides 80 percent isolation. Assume that the damping ratio of the isolator is 5 percent

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

Related questions

Q: Q1:- For the system shown on the figure calculate the natural frequency and specify whether the…

A: Given data: m=10kg, I=0.1kg.m2, r=10cm, K=1.6×105N/m C=640N.Sm Need…

Q: 5. Consider modeling the vertical suspension system of a small sports car as a single degree of…

A: Find, a) Calculate the suspension system's equivalent damping and stiffness coefficients, if the car…

Q: Write the equation of motion of the system using D'Alemberts principle. Find the natural frequency…

Q: ses an oscillator motion as shown in the Figure.8. Your manger asked you to v our analysis for the…

Q: 3) A one-degree-of-freedom system has an effective mass M-4-kg, an effective spring stiffness…

A: To find (a) The natural frequency ωn and critical damping ratio ζ (b) The response q as a function…

Q: critical damping of the system ?

A: Given: A vibratory system consists of a mass,m=13.5 kgSpring stiffness,k=1355 N/mdamping…

Q: A structure has a mass of 10 kip/g and a stiffness of 10 kip/in. The acceleration of gravity, g, is…

A: The mass of the structure is m=10 kip/g. The stiffness of the structure is k=10 kip/in. The…

Q: Given a 75 percent isolation, and a damping ratio of 8 percent, determine the maximum spring rate of…

Q: 3. Calculate the natural frequency and damping ratio for the system in figure below. Assume that no…

A: Natural frequency = 40.25 rad/sDamping ratio= 0.00158 System is underdampedExplanation:Step 1:…

Q: 1. For the system below: a. find the differential equation in terms of 0 (for small values of 0) b.…

A: Given:

Q: D. Figure P1 below shows a block of massm that is attached to two ideal orings and viscous damper.…

Q: 110% I DOP systems V. 1.1 Unsolved examples with answers Example 2.6 Calculate the torsional viscous…

Q: Task 1 A spring-mass-damper system is at the equilibrium position. The mass m= 10 kg, the damping…

A: Given data :- m = 10kg c =18 N.s/m k=9000 N/m V = 5m/s Find :- a)is the system is over or under…

Q: A student is asked to design a four bar crank-rocker mechanism that satisfied Grashof mechanism with…

Q: A mass of m kg is on a spring with spring constant 10 N/m and dampingconstant 3 Ns/m. Find the mass…

A: solution given data: K =10 NmC=3 N-sm

Q: A viscously damped system having resonant amplitude of 1.5 m, spring of stiffness of 1600 N/m is…

A: Given: The amplitude, x = 1.5 The spring stiffness, k = 1600 N/m The harmonic loading, F = 300 N

Q: eads damping force g force leads inertia and damping force are rce leads them by 90

Q: critical damping of the system.

A: Given: A vibratory system consists of a mass=16.5 kgSpring of stiffness=1350 N/mcoefficient=15…

Q: A 15-kg instrument is to be used on a factory floor that vibrates with a frequency of 3500 rpm and…

A: Given : m = 15 kg N = 3500 rpm F = 3 mm ζ=0.02 To find : the required stiffness of an isolator, the…

Q: 5) The parameters for a one-degree-of-freedom system are M=10-kg. K=16- kN/m, and C=320-Ns/m. (a) By…

A: Given, Mass(m)= 10 kg Spring constant(k)= 16 kN/m Coefficient of damping(c)=…

Q: Q3) A 16 Ib cylinder stretches a spring 2/27 inches by itself. The spring is initially displaced 1/2…

Q: Problem 4. Show that the expression x(t)= te is a solution of the critically damped oscillator. Use…

A: Given data, The solution is x(t)=te-γt/2

Q: 5. An electric motor with 34 kg of mass, rated speed of 3932 rpm and unba of 0.002 kg.m must be…

A: Given Mass, m = 34 kg Unbalance = 0.002 kg.m Transmissibility = 0.167 Find…

Q: What is the deformation response factor for a damped system with stiffness of 800N/m, and a mass of…

Q: For small positive damping, c, in the sinusoidally forced mass-spring system mz" + cz' + kr = Ggcos…

Q: Determine the equivalent damping coefficient for the following nonlinear damper: F(x) = ci + c where…

A: The force and velocity relationship is given by the expression, F(x)˙=C1x˙+C3x˙3

Q: A 100-kg tumbler produces a harmonic force of magnitude 5000 N. The stiffness coefficient of the…

A: Write the magnitude of harmonic force. F=5000 N Write the stiffness coefficient of the support.…

Q: 1. A damped single degree of freedom has a mass of 1100 kg and spring stiffness of 500,000 N/m. If…

Q: 5) A rail road bumper is designed as a spring What is the bumper's damping coefficient such of 1.25,…

Q: A small sports car deflects vertical suspension system under its own weight by 0.05m. The suspension…

A: Given, Deflection under self-weight = δ = 0.05 m Mass of car = m= 1160 kg Part (a): When system…

Q: The exponential damping factor y of a spring suspension system is one-tenth the criti- cal value. If…

A: Let , the mass attached to spring system be m kg. Given , γ = γc10 , The exponential damping…

Q: A 100-kg tumbler produces a harmonic force of magnitude 5000 N. The stiffness coefficient of the…

A: Givenm=100kgF=5000Nξ=0.2stiffness coefficient k=10×104N/mmaximum deflection ∆max=0.06m

Q: Q1. The cantilever beam shown in Fig.1 has an end of mass = 10 kg. The response of the system is x₁…

Q: A 100-kg tumbler produces a harmonic force of magnitude 5000 N. The stiffness coefficient of the…

A: Given, m = 100 kg F = 5000 N k = 10 x 104 N/m ζ=0.2X = 0.06 m

Q: Question 3: A periodic driving force Fa=10cos(10°t) N is acting on the spring-mass system as shown…

A: For solution refer below images.

Q: A spring with a mass of 1 kg has a spring constant 43 kg/s2. If the spring begins at equilibrium…

A: The mass is The spring constant is The velocity at equilibrium position is

Q: 2. Figure 2 shows a simplified model to simulate a recording head flying over a rough disk surface…

A: a moving head in a recording head flying over a rough disk surface. The question asks you to derive…

Q: . A system is needed to be designed as damped spring mass system. Calculate the amplitude of…

Concept explainers

Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.

Question

3. A washing machine of mass 70kg operates at 1600 rpm. Find the maximum
stiffness of an isolator that provides 80 percent isolation. Assume that the damping
ratio of the isolator is 5 percent

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

3ase is this system 3. Consider the following 1-DOF system, where k = 857.8 N/m, c= 7.8 kg/s, and m = 19.2 × 10-3 kg, calculate the damped frequency in rad/s and Hz. What damplng m:
Vibrations
you are given the mass, damping, andspring constants of an undriven spring-mass systemmy'' + μy + ky = 0.You are also given initial conditions. Use a numerical solverto(i) provide separate plots of the position versus time (y vs.t) and the velocity versus time (v vs. t),(ii) provide a combined plot of both position and velocity versus time, and(iii) provide a plot of the velocity versus position (v vs. y) inthe yv phase plane. a. m = 1 kg, μ = 0 kg/s, k = 9 kg/s2, y(0) = 3 m,y'(0) = 2 m/s b.m = 4 kg, μ = 4 kg/s, k = 1 kg/s2, y(0) = 3 m,y'(0) = 1 m/s
2. Figure 2 shows a roller rolling and slipping at the same time on a slippery surface. The center of the roller moves with a displacement r(t) and the roller rotates with angle (t). The roller has mass m, mass moment of inertia I, and radius r. In addition, a layer of fluid with viscous damping coefficient c is present to lubricate the roller. Moreover, the roller is pulled by a spring under a given (i.e., prescribed) displacement u(t), whereas the spring has spring constant k. Also, the roller is subjected to an applied torque M(t). Figure 3 shows the free-body diagram of the roller. Answer the following questions. (a) Apply F = ma to derive an equation of motion governing the translation z(t). (b) Apply M = Ia to derive an equation of motion governing the rotation 0(t). (c) Eliminate the variable (t) from the two equations of motion derived in parts (a) and (b). You should obtain a third-order differential equation in x(t). (d) Initially (i.e., at t = 0), the roller has no…
Task 2 External Force Damper Damper mass mass m M m WWA Smooth Surface w No Friction Spring Spring Consider the above spring-mass-damper system. Let the mass m=1 kg, spring stiffness k= 1 N/m and damping coefficient b = 1 N.s/m. (a) What is the number of degrees of freedom? (b) If the damping coefficient, b, is zero and he external force is At) = sint, find the steady state position amplitude for the two masses.
The free vibrations of a system are governed by the differential equation shown in the image, with initial conditions also shown in the image. Calculate or specify the following: a. The natural frequency b. The damping ratio c. Whether the system is undamped, underdamped, critically damped, or overdamped
I need the answer as soon as possible
Q4\Find the type of damping in this system Where: m=5kg, K = 1500 /m N Damping coefficient= 1.5 *105 N-sec/m
Please do #11 section 3.6
MECHANICAL VIBRATIONS
calculate the damping factor
PLEASE MAKE CLEAR THE SOLUTION. THE SUBJECT IS VIBRATION ENGINEERING