its model name.)1. Consider the steady-state response of a first-order system given by V(t) = 120 sin(4t-60).(a) Determine the amplitude A, angular frequency w, frequency f, and period T of the signal.(b) Determine the time it takes by the signal to complete two cycles.(c) Using a clearly labeled plot, show the signal over two cycles.

Solution: Given Data: Vt=120 sin4t-60 To Find: (a) Determine the amplitude A, angular frequency ω,…

Answered: 11-30X in its model name.) 1. Consider…

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

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The response of a system is given by xt=0.003cos 30t +0.004sin 30t m. Determine (a) the amplitude of motion, (b) the period of motion, (c) the frequency in Hz, (d) the frequency in rad/s, (e) the frequency in rpm, (f) the phase angle, and (g) the response in the form of xt=Asin (ωt+φ)
A weight of 10lb is suspended by a spring having a modulus of 15 lb-s/in. When displaced and permitted to oscillate freely, it is found that the amplitude diminished from 1.5 in to 1.316 in in exactly 10 cycles. a.) determine the system mathematical model, b.) time period of the system, c.) system percent overshoot
A 35 K G block is connected to a support through a spring (k=1.4 * 10^6 N/m) and a damper (c=1.8 * 10^3). The support is given a harmonic displacement of 10 mm at a frequency of 35 Hz. What is the steady state amplitude of the block?
It is observed from the magnitude plot of a compliance transfer function of a mass spring damper that the value at a very small frequency 0.0001 is 3.71 meters and at resonance 1.10 rad/s is 7.10 meters. What is the natural frequency, damping coefficient, stiffness, and mass of the system?
The block diagram given below; A) Reduce it B) G1(s)=2/s ; G2(s)=1/4s+2 ; G3(s)=4 ;H(s)=0.5 Given the values of the system; find the time constant, its natural frequency and damping rate and explain what kind of dynamic behavior it exhibits accordingly. C)Find the poles and zeros of the system according to the values in (B).Is the system stable? Find the unit step response (Inverse Laplace).
(b) Consider a vertical spring mass-damper-system with mass m = 2 kg, damping coefficient c = 5 N.s/m and stiffness k = 10 N/m. An external force f(t) = sin3t N is applied to the mass. (i) Find the static equilibrium position as measured from the un-stretched length of the spring (ii) Write the equation of motion. (iii) Find the natural and damped frequencies. (iv) In steady state, find the time delay in seconds between the mass position and f(t). (v) Find the steady state maximum acceleration.
A mass of 1.42 Kg is connected to a spring of spring constant 8.71 N/m. An oscillation is started by pulling the mass to the right to amplitude 0.522 m before release and the oscillator moves in air. The oscillation decays to 18.2% of the original amplitude in 58.2 seconds. A=0.241m at 26.38 seconds. a. What would the position of the oscillation be 26.38 seconds after release?
1.block diagram physical meaning and the time response for different inputs
MECHANICAL VIBRATIONS An unknown mass m is attached to the end of a linear spring with unknown stiffness coefficient k. The system has natural frequency of 30 rad/s. When a 0.5 kg mass is added to the unknown mass m, the natural frequency is lowered to 20 rad/s. Determine the mass m and the stiffness coefficient k.
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
Find the maximum velocity of a free vibration with a response of 4(d^2 x/dt^2) + 25x = 0. Initial displacement of 0 and velocity of 1 m/s.
The acceleration time waveform was obtained from the outboard bearing of a rotor with a looseness problem. The waveform can be described by the equation: A(t) = 0.36sin(1050t +0.07) + 0.21sin(2100t-0.11) + 0.13sin(3150t) – 0.05sin(4200t) g 1. Determine the minimum number of samples for measuring the signal, based on a Nyquist Factor of 2.56. 2. List the frequencies and acceleration amplitudes that appear in the resulting frequency spectrum if an ideal bandpass filter rated at 170 Hz and 600 Hz is applied.

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