The system shown below is subject to a sinusoidal base excitation with an amplitude of Y = 14.7437 cm and frequency n = 43.0110 rad/s. Considering the steady-state response of the system, and assuming M = 633.5136 kg, c = 6574.7867 Ns/m, K1 = 298201.5331 N/m and K2 = 669397.2341 N/m, find the relative displacement amplitude of the mass

The system shown below is subject to a sinusoidal base excitation with an amplitude of Y = 14.7437 cm and frequency n = 43.0110 rad/s. Considering the steady-state response of the system, and assuming M = 633.5136 kg, c = 6574.7867 Ns/m, K1 = 298201.5331 N/m and K2 = 669397.2341 N/m, find the relative displacement amplitude of the 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

Related questions

Q: Ito complete this, it is required to determine the amplitude and phase angle of the transient…

A: Given data as per question stiffness of spring =5000 N/m Mass = 2.5 kg the condition needed for…

Q: An input force f = F:sin(wt) is applied to the body in both systems along the direction x. -Which of…

A: Given : To find : Less steady state amplitude

Q: A thick metal wire (consider it to be a string) on a particular piano is 2.0 m long and has a…

A: The given data :

Q: A single degree damped vibrating system is formed of a block of mass m = 5 kg, a spring of K = 100…

Q: An SDOF system has the following properties: m = 0.2, k = 10, and = 0.06. No initial conditions.…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Use the proportionality constant for unit analysis where necessary.

Q: Vibration Subject) Predict the fundamental natural frequency using Rayleigh's Method in Figure…

A: To find: The fundamental natural frequency using Rayleigh's Method. Given: The values are k1=10 Nm,…

Q: Consider that the free response of the mechanical system is given by y(t) = 5e-at cos(2nf) (Eq. 1)…

A: Calculate the frequency of damped oscillations of the system in Hertz and rad/s.

Q: A machine of mass 112.7 kg is mounted on four parallel springs each of stiffness 3.2 x 10³ N/m. When…

Q: The governing differential equation of a forced harmonic oscillation of a damped mass-spring system…

A: Given : To find : Oscillation of the system

Q: A harmonic force of F(t) = Fo cos(wt) is applied to the system shown in the following figure. With…

A: Response of the displacement: →x(t)=6sin0.4tsin3.7t So the time period for the response:…

Q: The mechanical behavior of a biological tissue can be modeled as Maxwell body. The tissue is subject…

A: Write the expression of the force of the tissue, Ft=F01-e-αt Calculate the force at t=2 sec,…

Q: The system shown below is subject to a sinusoidal base excitation with an amplitude of Y and…

A: This problem is from vibration and damping. In this case, there are one pair of spring in parallel…

Q: QUESTION 1 "An automobile, weighing 1100lb empty and 3200 lb fully loaded, vibrates in a vertical…

Q: The system shown below is subject to a sinusoidal base excitation with an amplitude of Y and…

A: Given: Here is the given data, M=10 kgc=472 N·smK1=17 kNmK2=3K1 kNm=51 kNmΩ=300 rpm To find: The…

Q: A Mass, spring, and dashpot system is shown in Figure 2.1. It has a block mass of m = 10 kg The…

A: given data; ⇒f(t)=200cos10t eq.1⇒ with the help of…

Q: QUESTION 2 Vibration absorber (also called tuned mass damper) is used to reduce* the vibration at…

A: The objective of the question is to find the response amplitude of the second mass in a vibration…

Q: An undamped spring mass system has a mass of 10 kg and a spring stiffness of 2250 N/m. It is excited…

Q: Consider a driven oscialting spring-mass system modeled by my' '+ by' + ky = F, cos(wt). Find the…

Q: rce which has an amplitude F, = 20 N and itial conditions are xo = 4 cm, and x, = 0. of the mass…

A: data provided normal frequency wn =k/m =2700/3 =30 rad/s M = 3 kg K =2700N/mc =18 N.s/mF0 = 20 N wf…

Q: m2= 3.1 , k2=62 Q.5 Use normal mode analysis to find the natural frequencies of the system shown…

A: A spring-mass system can be used to a structure to eliminate the vibration. The period of such…

Concept explainers

Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,

Question

The system shown below is subject to a sinusoidal base excitation with an
amplitude of Y = 14.7437 cm and frequency n = 43.0110 rad/s.
Considering the steady-state response of the system, and assuming M =
633.5136 kg, c = 6574.7867 Ns/m, K1 = 298201.5331 N/m and K2 =
669397.2341 N/m, find the relative displacement amplitude of the mass

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

A structure that can be idealized as a SDOF system has a mass 100 kg, a stiffness of 40 kN/m and a damping ratio of 0.10. If it is subjected to a harmonic dynamic force given by p(t) = 500 sin(15 t) N, determine (a) the dynamic amplification under steady-state conditions; (b) the maximum velocity of the steady state vibration; and (c) the maximum amplitude if the forcing frequency was equal to the system frequency (a resonant condition).
6.66 Determine values of k and C such that the steady-state amplitude of the center of the cylinder in Figure P6.66 is less than 4 mm for 60 rad/s 110 rad/s? 킄 5 x 105 N/m ww FIGURE P6.66 40 cm G. 200 sinat Massless pulley 20 cm 40 cm MO 8 kg
QUESTION 3 Vibration absorber (also called tuned mass damper) is used to reduce* the vibration at the natural frequency of the original system. Consider a M-K system shown below. Original System x(t) Modified System x₁(1) X2(t) K K MA M 0000 M F(1) F(t) absorber K This system has a natural frequency at rad. The absorber mass and the spring are attached to the original system as shown in the figure, and the values are selected so that (1) the amplitude of the original mass, M. at the original natural frequency is zero, and (2) the new natural frequencies are moved away from the original natural frequency. The selection of absorber mass and stiffness, m and k, is easy. They have the same ratio as the ratio of the original system. That is, M/m = Klk. Find the transfer functions X1(s)/F(s) and X2(s)/F(s) before you can answer questions. What is the fundamental frequency (first natural frequency) of the modified system in rad/s? Use scientific notation with 3 signifincant figures. Omit…
Consider the two-mass system shown below. The system is free to move in the x₁ - x₂ plane. 1. Obtain the FBD 2. Obtain the EOM 3. Using Modal Analysis, obtain the response of the system x2 X4 3k 4k 4k quing m m=10kg, k = 100 N/m m k 2k m 4k
An undamped spring mass system has a mass of 10 kg and a spring stiffness of 2250 N/m. It is excited by a harmonic force having a sine function characteristic with amplitude of 100 N and an excitation frequency of 15 rad/s. The initial displacement and the velocity are 0.15 m and 1.5 m/s respectively. The Particular solution at t = 2s The frequency ratio is: Choose... Choose...