QUESTION 1 A vertical vibrating system of 5 kg of mass and 500 N/m of spring stiffness is critically damped. The system is excited by a step input force f(t) = 50 N to generate an output vertical motion y(t), in metres, and t-is the time in seconds. 1.1. Determine the transfer function of the system 1.2. Provide an equivalent block diagram with a unitary negative feedback to control the motion y(t) 1.3. Using s-plane, locate the closed loop pole(s) and zero (s) of the system and provide the reasons of stability or non-stability of the system Using the technique of partial fractions, establish the analytical expression of the time response of the vibrating system.

QUESTION 1 A vertical vibrating system of 5 kg of mass and 500 N/m of spring stiffness is critically damped. The system is excited by a step input force f(t) = 50 N to generate an output vertical motion y(t), in metres, and t-is the time in seconds. 1.1. Determine the transfer function of the system 1.2. Provide an equivalent block diagram with a unitary negative feedback to control the motion y(t) 1.3. Using s-plane, locate the closed loop pole(s) and zero (s) of the system and provide the reasons of stability or non-stability of the system Using the technique of partial fractions, establish the analytical expression of the time response of the vibrating 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

Related questions

Q: Consider the inverted-pendulum system shown below. Assume that the mass of the inverted pendulum is…

A: Given :

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

Q: 1- For the system shown in Figure 2 a) Find system response when r(t) = 0 and 2(t) is unit step b)…

A: this question about the moment of inertia of the shaded region about the centroidal x and y axes.…

Q: You are working at a medical device company, and are helping to design a new needle system that…

Q: The magnitude of the steady-state response of an under damper and unforced spring-mass is

A: The amplitude of steady state vibration is - A = Fk1-wwn22+ 2ξwwn2

Q: Inspired by the mars helicopter Ingenuity, we are going to study the effect of gravity on the…

A: Whereas Mars does have an atmosphere, it's much, much more slender than Earth's around 100 times…

Q: Problem 1. For the OL TF design a Pl compensator to eliminate error completely for ramp input at the…

A: given,open loop transfer functionG=ks(s+3)(s+3)

Q: 3. Consider the system shown below. The outputs of the system are the angular displacement of the…

A: Given: To find: State space model Transfer function Characteristic equation Poles Unit step…

Q: 6. Consider the mechanical system shown in Fig. 8. Let V(t) be the input and the acceleration of the…

A: Below is the clarified and detailed explanation for above tricky question....if you are ok with my…

Q: For the system whose block diagram is shown in Fig.1, find the overall transfer function by using…

Q: Briefly explain the terms time constant, damping ratio, undamped natural frequency and damped…

A: Time constant: It tells us how fast a control variable responds to a given. It is measured as time…

Q: ential equation shown models a spring "stem excited by an oscillatory input, U etermine the steady…

Q: B) For a unity feedback system with the forward transfer function: G(S) K s (1+0.4 s)(1 + 0.25 s)…

A: Step-by-Step Solution:Given Information:Forward transfer function of the unity feedback…

Q: Q.4- A model for feedback control system employing both angular position and velocity feedback is…

A: Given:The equation that describes the system is .Here, is rotary inertia, and are position and…

Q: Figure 2). 1.2 1 0.8 Peak value: 1.1878 0.6 Peak time: 2.0723 sec 0.4 splacement of mass

Q: 5. Afeedback system's open-loop transfer function is K G(s) = s(s+ 3)(s+ 6) 1)Sketch the system root…

A: The feed back loop system is given

Q: Which type(s) of systems will oscillate in response to a step function? (Select all that apply.)…

A: This question is based on the concept of vibration

Question

100%

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

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Fick’s Law of Diffusion and Mass Transfer

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 test was undertaken to find the dynamic properties of a SDOF system. The measured transient response recorded is shown in Figure QA2a. If the stiffness of the system is 1,000 N/m estimate: i) the damping ratio, ii) the undamped natural frequency, and iii) the mass of the system. Displacement (m) 0.08 0.06 0.04 0.02 O -0.02 -0.04 -0.06 -0.08 Figure QA2a 0.5 Time (s) 1.5 2
A system can be approximately expressed as X₁ = −T₁×₁ +σx2 x2=-T2x2 + ku a. Given ₁ = 8,σ = 4, k = 0, find the range of T2 such that the system x = Ax is asymptotical stable. b. Given ₁ = 8, t₂ = −1, σ = k = 1, design a state-feedback controller, such that the system x = Ax+Bu is asymptotical stable. LG 11-7 IZ-N 13-
The figure below shows the essential parts of a hydraulic brake system. The area of the piston in the master cylinder is 1.8 cm² and that of the piston in the brake cylinder is 6.4 cm2. The coefficient of friction between shoe and wheel drum is 0.50. If the wheel has a radius of 37 cm, determine the frictional torque about the axle when a force of 50 N is exerted on the brake pedal. N. m Wheel drum Pedal Shoe Master cylinder cylinder Brake
The state z(t) of a dynamical system is solution of equation ż(t) + aż(t) + 25z(t) = 12, with a = 7.3. Calculate the Peak time of the response.
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