CLASS: 4th1st Term Exam (2014-2015)Q1 The following block diagram represents the drying oven control system. Thedynamic behavior of the oven can be represented by following differential equation:100.(1)dt+0₁(t) = v(t)Calculate the following:a-Natural frequency on and damping ratiob-The response of the system to step change in 0,(t) of 20 C°E(s)On (s)0:(s)V(s)30Oven2+S+4.

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Answered: CLASS: 4th 1st Term Exam (2014-2015) Q1…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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%.VE I CLASS: 4th A 0: E 2_5361633277343... 1 Term Exam (2014-2015) Q1 The following block diagram represents the drying oven control system. The dynamic behavior of the oven can be represented by following differential equation: de (1) 10 +00(0) = v(1) di Calculate the following: a-Natural frequency, and damping ratio b-The response of the system to step change in 0,(t) of 20 C° E(s) 0. (s) V(s) 30 Oven 2 3+4. (50M) For the control system shown in figure find an expression for C(s) in terms of R₁(s) and R₂(s). R₁(s) 2 C(s) 5 Ra(s) (50M) Examiner FOUNDATION OF TECHNICAL EDUCATION COLLEGE OF TECHNOLOGY/KIRKUK Fuel & Energy ENG. DEP. CLASS 4 SUB.: Cont. & Measur DATE 3/6/2015 TIME:3 Hours / المجنح الامتحانية المركزية لسنة الدراسية. 2014-2015 Final Exam (2014-2011 A The following block diagram represents the PI control to a chemical process .The process is described by the following differential equation.:: dy(t) 2 + y(t) = 2v(t) dt Calculate the following: a-Natural frequency a, and…
A) Assuming that no inputs are present to a first-order and a second-order systems, mention two fundamental differences between the two systems. B) Determine the damping ratio and natural frequency of the single-loop RLC electrical circuit system shown below. d²1 dI I + R + = dt² dt с L E(t). C) State two distinctions between odd and even functions, and name and sketch a function that's neither odd nor even. D) What is the frequency in Hertz and the amplitude of the 5th term (i.e. the 4th harmonics) of the following signal? 4 2π 10π == - sin TT 4 бп y(t) (² t) + 37 sin (17) 4 + sin 5π (10+) +. 10 10
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The arm angle, e (t), is controlled by a closed-loop system. The input (reference) to the system is the desired angle, and the output is the actual angle. A controller uses the difference between the desired angle and the actual angle to drive the motor, resulting in a motor torque applied to the system. motor torque(t) houlder joint damping(B) The customer wants to make a system to have 1) O steady-state error 2) Less than 10% overshoot 3) Less than 1- For a step inp **ling time Arm length (/) Mass(m) g design a controller to meet the design spec above. 1) Design a controller to meet the design spec. 2) Evaluate your controller using step response (time response) 3) Evaluate your closed-loop system using frequency response (e.g., Bandwidth, Gain margin. Phase margin).
A force of 20 newton stretches a spring 1 meter. A 5 kg mass is attached to the spring, and the system is then immersed in a medium that offers a damping force numerically equal to 10 times the instantaneous velocity. 1) Let x denote the downward displacement of the mass from its equilibrium position. [Note that x>0 when the mass is below the equilibrium position. ] Assume the mass is initially released from rest from a point 3 meters above the equilibrium position. Write the differential equation and the initial conditions for the function x(t) 2) Solve the initial value problem that you wrote above. 3)Find the exact time at which the mass passes through the equilibrium position for the first time heading downward. (Do not approximate.) 4)Find the exact time at which the mass reaches the lowest position. The "lowest position" means the largest value of x
1. Verify Eqs. 1 through 5. Figure 1: mass spring damper In class, we have studied mechanical systems of this type. Here, the main results of our in-class analysis are reviewed. The dynamic behavior of this system is deter- mined from the linear second-order ordinary differential equation: where (1) where r(t) is the displacement of the mass, m is the mass, b is the damping coefficient, and k is the spring stiffness. Equations like Eq. 1 are often written in the "standard form" ď²x dt2 r(t) = = tan-1 d²r dt2 m. M +25wn +wn²x = 0 (2) The variable wn is the natural frequency of the system and is the damping ratio. If the system is underdamped, i.e. < < 1, and it has initial conditions (0) = zot-o = 0, then the solution to Eq. 2 is given by: IO √1 x(1) T₁ = +b+kr = 0 dt 2π dr. dt ل لها -(wat sin (wat +) and is the damped natural frequency. In Figure 2, the normalized plot of the response of this system reveals some useful information. Note that the amount of time Ta between peaks is…
Can you please show the complete solution of the image below. Thanks! Subject: Mechanical Vibration
6. The figure below represents a time response of a control system. y(r) 0.63 What is it? a) Unit-step response of a Prototype First-Order System; b) Unit-Impulse Response of a Prototype First-Order System; c) Unit-Step Response of a Prototype Second-Order System; d) Unit-Impulse Response of a Prototype Second-Order System.
Solve the following question by hand and without the use of AI. Use detailed mathematical expressions to solve the problem and please do not use AI. Thank You!
A thermocouple is connected to a data acquisition system which is used to measure temperature of air in a duct. For a step-input, the system measures the temperature accurately at steady state. Assume the dynamics of the sensor(thermocouple) limit the system's speed of response. The sensor has a time constant of 0.5 sec. In a given situation, the duct's air temperature varies with time as a sinusoid of frequency 2 rad/s with amplitude of 10°C. In this case, the measured temperature by the system is a sinusoid as wellI, as a function of time. The amplitude of this (measured) sinusoid, at steady-state, is closest to: Select one: а. 10°C b. 5°C С. 3°C O d. 7°C
Needs Complete typed solution with 100 % accuracy. Otherwise skip if you can't give complete solution don't use chat gpt or ai i definitely upvote you.
Hello Sir,Good Morning I have a question in my home work related mechatronics lesson. The following below is my question. Please advise thank you.

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