Example: Total Response of a SystemA single degree of freedom system with m = 10kg, c = 2o N-s/m, k = 4000 N/m, x,under the following conditionsx, 0= 0.01 m,%3DDamping ratioSteady-state solutions if F(1) = F, cos ot actson the system with F. 100N and o 10 rad'sTotal response

Damping ratio and natural frequency:

A single degree of freedom system with m = 10 kg, c = 20 N-s/m, k 4000 N/m, x, = 0.01 m, under the following conditionsx, 0 %3D Damping ratio Steady-state solutions if F(1) = F, cos ot on the system with F. 100 N and o = 10 rad's acts Total response

A single degree of freedom system with m = 10 kg, c = 20 N-s/m, k 4000 N/m, x, = 0.01 m, under the following conditionsx, 0 %3D Damping ratio Steady-state solutions if F(1) = F, cos ot on the system with F. 100 N and o = 10 rad's acts Total response

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: F(t)=mx''+kx'+cx If the initial conditions are zero, that is, x'(0) = 0 and x(0) = 0 and F(t) is a…

A: Given : F(t)=mx''+kx'+cx To find : If the initial conditions are zero, that is, x'(0) = 0 and x(0) =…

Q: Vibrations Question From a compliance transfer function of a spring-mass–damper system, the…

Q: Question (2). The following system has a block of a mass m = xykg(from your registration mumber),…

Q: For the spring -damper-mass system, 3ÿ (t) + 12ý (t) + 12y(t) = 3f (t) 1. find mathematically the…

A: As given the equation for the system : ⇒3y..(t)+12y.(t)+12y(t)= 3f(t) ;⇒ y..(t)+4y.(t)+4y(t)= f(t)…

Q: 1. ar the single-dogreo-of-freedom uechnnien). shown in the figuro: l determine the governing…

Q: 4. A mass-spring and viscous-damper system is shown in Figure 2. 100 N/m FO 5 kg 30 N.s/m Figure 2 F…

Q: Consider a unity-feedback system with forward path G(S)= K/(s+1)(s+2)(?+5). Design a Pl controller…

A: The gap between the desired and actual value of a system output in the limit as time advances to…

Q: e maximum value of gain K fo

A: To find Maximum value of gain K .

Q: If the system has a damping value of less than 1, then can these answers change? For example, under…

A: In this problem, it is asking if the system has a damping value of less than 1, then can these…

Q: For the level process shown in figure, 4 m³/min AT = 3 m2 8 m 4 m³/min R= 1 min/m2 A 3-unit…

A: Given: To find: level height

Q: What is the damping ratio of the following system transfer function? G (s) 27 s2 +1.8s+9 0.9 0.3 O…

A: Correct option: 0.3

Q: 0 K>-6 Ok>0 OK>-3 s³ +s² (K+6) + s(6K+9)+9K = 0 If characteristic equation is minimum value for k to…

A: The minimum value of k. Given: The characteristic equation is s3+s2K+6+s6K+9+9K=0

Q: For a critically damped system with a frequency ratio of 3 experiencing base excitation,…

Q: 2. The damped SDOF system and loading shown Fig.2. Calculate the steady-state response of the…

A: The mass of the systemStiffness of the springDamping coefficient Hence the natural frequency will…

Q: Q1-for the system shown : • find the differential equation that relate (T) as output and (Es) as…

A: 1. We have the energy input as the Es and the energy output as the QL. Now the rate of heat loss is…

Q: Problem 7.65 - Enhanced - with Hints and Feedback Figure 3 m C 6 m Part A 4 of 15 > ■Review 12 kN/m…

A: Step 1:Step 2: Step 3: Step 4:

Q: The following system has a block of a mass m = xykg(from your registration murmber), stiffness k=…

Q: A) A feedback system having a forward transfer function (G(s)=12/(s²+4s+16)) and feedback transfer…

A: Step 1: Step 2: Step 3: Step 4:

Q: An underdamped second order system forward transfer function is given as: 3a + b + 2d + e G(s) = s2…

Q: b) Discuss the modal analysis method.(short Answer) c) What is meant by sweeping matrix? d)…

Q: The total response (x) of damped system under harmonic force is: x(1) = Xoe¬{@n! cos(wat – po) +…

A: Damped system: In a vibrating system, vibrations are said to be damped when the energy of the system…

Q: For the single degree of freedom system shown below in Figure Q11, and considering only the steady…

A: Solution: Given Data: m=14.6 kgk=571.8 N/mc=7.5 N-s/mω=11.1 rad/s To Find: The phase difference…

Q: We obtain the differential equation: mä + bà + kr = 0, as a model for a spring-mass-damper system…

Q: 4- A system with state matrix A = is in - a- critical damped b- under damped e- over damped d-…

A: Solution:

Q: Consider the equation of motion for a given system is 2x + x = u where x is the output in meters and…

A: Given: Time constant = 1 sec Damping ratio = 0.7071 To find: Design a PID controller

Q: V. G(s) = 24 (s+20) (s+4)²(s+24)

A: a) Poles: s=-6 (repeated pole) Natural Frequency: ω_n = 6 Damping ratio: ζ = 0.5b) Step response =…

Q: Determine the steady-state (forced) response and the time constant (or dominant tin each of these…

Q: For the single degree of freedom system shown below in Figure Q11, and considering only the steady…

A: Given the values of stiffness, damping coefficient and mass. Required: Phase difference

Q: 6. Consider the control system in Figure 7.62, where the loop transfer function is K(s² + 5s + 9) s²…

Q: Q1-for the system shown : • find the differential equation that relate (T) as output and (Es) as…

A: PART 1 We have the energy input as the Es and theenergy output as the Q Now the rate of heat loss is…

Q: (b) Figure Ql(a) shows a design of mechanical system for stamping process that consists of a slender…

A: A Spring system is a system in which the mass in the system is concentrated on the spring. The…

Q: The systm shown is: k = 100 N/m WM c = 160 Ns/m m = 16 kg O overdamped O not anything above O…

Q: Find the transfer function of the system

Q: A transfer function giving the relation between the wave disturbance w(t) and the roll 0(t) for a…

Q: Q5: A damping harmonic oscillator with, m-5 kg, k-180 N/m and c-30 kg/s is subject to a driving…

Q: ven the lumped parameter model of a second-order system m ÿ +by+ky = F(t), what is the natural…

A: Given is the second order differential equation.

Q: a) A single degree of freedom system with viscous damper is shown in Figure 3. The system driven by…

A: Given: To find : Total response

Q: 6. Determine the response of a system with a degree of freedom to an F impulse for the following…

A: To Find : The value of amplitude X. Given : The mass is m=3kg The stiffness is k=17Nm c=5Nsm F=6…

Q: Q. Design the controller K so that the steady state error for step input is es<0.1

A: Understand that the above system is a type 1, the error stated must be applied to the ramped input…

Q: The forward transfer function of a unity feedback type 1, the second-order system, has a pole at…

A: The definition of steady-state error is the difference between a system's input and output as time…

Q: Determine the settling time of the system having the transfer function O Tg = 0.1250 s O Tg = 0.4890…

Concept explainers

Basic Thermodynamic Processes

The word 'thermodynamics' can be divided into two words, 'thermo' and 'dynamics'. The word thermo deals with the heat and thermal phenomenon, whereas dynamics deals with forces or external agent that drives the heat flow or aids in the motion of heat.

Question

Example: Total Response of a System
A single degree of freedom system with m = 10
kg, c = 2o N-s/m, k = 4000 N/m, x,
under the following conditionsx, 0
= 0.01 m,
%3D
Damping ratio
Steady-state solutions if F(1) = F, cos ot acts
on the system with F. 100N and o 10 rad's
Total response

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 3 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

Consider the characteristic equation : s+ ks" + s +S +1 0 Determine the range of k for stability using Routh's stability criterion. +S+S+1 =0 %3D
T C We consider a rotating shaft. A torque T is applied, resuting in a rotation of the shaft. The bearing system and the output connections yield a viscous damping torque D. T: input torque 2: output angular velocity Dan: viscous damping = J: moment of inertia Governing equation (obtained using Euler equation for rotating solids): JN+an = T αΩ
Determine the steady state time response x(t) of a viscously damped system subjected to harmonic base excitation for the following data : m = 15 kg, c = 25 N.s/m, k = 300 N/m, y(t) = 0.04 sin ( 5t ) m. %3D
Given the torsional system shown below actuated by a step input torc T(t): TO) 00) lll fro> K D 1- Write first the equation of motion, and then: 2- for K=2 N.m/rad, find J and D to yield 15% overshoot and a 2% settling time of 5 seconds, and then calculate the resultant natural frequency and damping ratio. 3- for K=2 N.m/rad, find J and D to yield a peak time of 2 seconds and a 2% settling time of 10 seconds, and then calculate the resultant natural frequency and damping ratio. 4- for D=1 N.m.s/rad, find K and J to yield 20% overshoot and a peak time of 2 seconds, and then calculate the resultant natural frequency and damping ratio. 5- for J=0.5 kg.m², find K and D to yield 5% overshoot and a peak time of 1 second, and then calculate the resultant natural frequency and damping ratio.
Initial data: ID = 500351 ID % 4 = 1
1q
Given: A single degree of freedom system as shown, at t=0, y=2, and v=3, solve problems 9-10. K m Q9) The response of undamped single degree of freedom system is: O a. 2*cos(wt) +(3/w)"sin(wt) O b. 3*cos(wt)+(2/w)*sin (wt) O. 2°sin(wt) +(3/w)*cos(wt) O d. 2*cos(wt)+(2/w)*sin(wt) O e. cos(wt)+(3/w)*sin(wt) vilian teare Q10) The physical natural frequency, f is: a. sąrt(m/k)/(2*T) O b. sąrt(k/m)/(2*TT) O. (k/m)/(2*rt) Od. (m/k)/(2*T) O e. (2*T)/sqrt(k/m)
Consider the MDOF damped system shown below. Assume k₁ =24, k₂ = k₂ = 3; m₁ =m₂ =1kg; x(0) = -O). 1. Derive the EOM 2. What are the Mass and Stiffness matrices 3. Calculate the characteristic equation for the system 4. Solve the for system's natural frequencies 5. Calculate the mode shape vectors of the system 6. Calculate the system response k₁ k₂ k3 Füü m₁ m₂ C1 X1 X2 C₁ = C₂ = C₂ = 0 C3 x(0) = -(8) 33 MEEG 3113 - Fundamentals of Vibrations
2. ▷522, 258px yağ-kütle sönümleyici sistemi aşağıda verilmiştir. 771- 10 kg. b 30 N-s m. k 1000 Nm. P-10N and ws= 2 rad/s if what is the steady state response at the output - v(t) = ? input p(t)=? COD N p(t)=P sin cr 661 x 308px Boyut: 57.4KB Casper
Amplitude Given the system unit-step response, determine maximum overshoot, settling time and steady-state error * 1.4 1.2 0.8 0.6 0.4 0.2 0,35 0.05 0.1 Step Response 0.15 0.2 Time (sec) 0.25 0.3 0.35
instrumentation and control systems
2. A spring-mass-damper system shown in Figure 2.6. Determine the differential equation relating input and output. Kx, Cx, K F(t) +ve Ft) Xo(t) Lumped Parameter Diagram (a) Free-Body Diagram (b) Figure 2.6 Spring-mass-damper system