1- The amplitude of an undamped system subject to an initial displacement 0 and initialvelocity *, is given by ---------, (a) *,. (b) own. (c), (d) x,con2- When an initial excitation exerted on a vibrational system results in********appearance. (a) natural frequency, (b) resonance, (c) beating, (d) none of these.3- The equivalent spring stiffness is calculated by using(b) moment equilibrium, (c) strain energy.--------. (a) force equilibrium,4- The magnification factor is defined by -------- and it is given by the relation5- Beating phenomenon is defined as ---------➖➖➖➖➖➖➖➖

The undamped system is nothing but the energy loss is restricted throughout the vibration.

Answered: 6₂ 1- The amplitude of an undamped…

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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1- The amplitude of an undamped system subject to an initial displacement 0 and initial velocity x, is given by (a) (b) xw₁(c)(d) xo 2- The completum phase angle of an undamped system subject to an initial displacement x, and initial velocity 0 is given by (a) x. (b) 2x. (c) 0. (d); 3- When an initial excitation exerted on a vibrational system results in - - appearance. (a) natural frequency, (b) resonance. (c) beating. (d) none of these. 4- Undamped vibration is characterized by no loss of ----. (a) speed. (b) acceleration. (c) mass, (d) energy. (a) mass, (b) damper. 5- Vibratory system should at least consists of a spring and --- (c) mass and damper.
Select the right answer for each of the following first three and fill in blanks for the rest (2640) two; 1- The amplitude of an undamped system subject to an initial displacement 0 and initial velocity *, is given by --------- (a) x. (b) xown. (c)- , (d) xo 2- When an initial excitation exerted on a vibrational system results in --------. (a) force equilibrium, appearance. (a) natural frequency, (b) resonance, (c) beating, (d) none of these. 3- The equivalent spring stiffness is calculated by using - (b) moment equilibrium, (c) strain energy. 4- The magnification factor is defined by 5- Beating phenomenon is defined as and it is given by the relation ------ ➖➖➖➖➖➖➖➖ ******
1- The amplitude of an undamped system subject to an initial displacement 0 and initial velocity x, is given by --- (a) ż₁. (b) x₂. (c), (d) x, 2- The completum phase angle of an undamped system subject to an initial displacement x, and initial velocity 0 is given by (a) x, (b) 2x. (c) 0, (d) 3- When an initial excitation exerted on a vibrational system results in (a) natural frequency. (b) resonance, (c) beating. (d) none of these. 4- Undamped vibration is characterized by no loss of (c) mass, (d) energy. 5- Vibratory system should at least consists of a spring and (c) mass and damper. appearance. (a) speed. (b) acceleration. (a) mass. (b) damper.
2. A damped harmonic oscillator consists of a block (m = 2.00 kg), a spring (k = 10.0 N/m), and a damping force (F = –bv). Initially, it oscillates with an amplitude of 25.0 cm; because of the damping, the amplitude falls to three-fourths of this initial value at the completion of four oscillations. (Halliday, Resnick & Walker, 2011) (a) What is the value of b? (b) How much energy has been "lost" during these four oscillations?
1- The amplitude of an undamped system subject to an initial displacement 0 and initial velocity x, is given by -- (a) ±¸ . (b) x₂. (c), (d) x, 2- The completum phase angle of an undamped system subject to an initial displacement x, and initial velocity 0 is given by (a) x, (b) 2x. (c) 0, (d) 3- When an initial excitation exerted on a vibrational system results in (a) natural frequency. (b) resonance, (c) beating. (d) none of these. 4- Undamped vibration is characterized by no loss of (c) mass, (d) energy. 5. Vibratory system should at least consists of a spring and (c) mass and damper. appearance. (a) speed. (b) acceleration. (a) mass. (b) damper.
Select the right answer for each of the following: 1- The amplitude of an undamped system subject to an initial displacement 0 and initial velocity x, is given by (a)xo. (b) xown. (c)(d) xo 2- The completum phase angle of an undamped system subject to an initial displacement x, and initial velocity 0 is given by --. (a) x. (b) 2x. (c) 0, (d). 3- When an initial excitation exerted on a vibrational system results in --- appearance. (a) natural frequency, (b) resonance, (c) beating. (d) none of these. 4- Undamped vibration is characterized by no loss of ----. (a) speed. (b) acceleration. (c) mass, (d) energy. (a) mass. (b) damper. 5- Vibratory system should at least consists of a spring and -- (c) mass and damper.
At resonance, the amplitude of vibration is (a) Very large (c) Zero (b) Small (d) Depend on frequency
A damped harmonic oscillator with m = 10 kg, k = 250 N/m, and c= 60 kg/s is subject to a driving force given by F cos ot, where F 48 N. (a) What value ofø results in steady-state oscillations with maximum amplitude? Under this condition: (b) What is the maximum amplitude? (c) What is the phase shift?
An undamped simple harmonic oscillator has mass 2.0 kg and spring constant 50 N/m. The initial displacement from equilibrium (at time t = 0) is 0.30 m and the initial velocity is 2.0 m/s. %3D 1. Determine the angular frequency (in rad/s), the frequency (in Hz), and the period (in s). Determine numerical values (not in terms of .) Determine the displacement in the form x(t) = Acos(mot) + Bsin(@ot). That is, solve for A and B in meters, and write oo in radians per second.
For a damped simple harmonic oscillator, the block has a mass of 1.1 kg and the spring constant is 13 N/m. The damping force is given by-b(dx/dt), where b = 220 g/s. The block is pulled down 14.7 cm and released. (a) Calculate the time required for the amplitude of the resulting oscillations to fall to 1/3 of its initial value. (b) How many oscillations are made by the block in this time? Rigid support (a) Number i (b) Number x Units Units Springiness, k Mass m Vane Damping, b
(b) The displacement of a vibrating body is x = 25e 4cos (3t-0.2),where t is in sec and x is in cm. The ratio of two successive amplitudes at the interval half of the time period is 14.20. Evaluate the time of period of vibration and logarithmic decrement of the amplitude.
A horizontal spring K=300N/m with a mass of 0.75kg attached to it is undergoing simple harmonic motion. Calculate the, a) Period, b)Frequency, c) Angular frequency of this oscillation. O A T=03142s, f=3.183HZ, w = 40rad/s B. T=0.4142s, f=3.183Hz, w = 20rad/s o C. T=03142s, f=3,183HZ, w = 20rad/s

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