In free vibration we experimentally determine the natural frequency of a mass-spring system to be f, = 120.2796 Hz. The results show that decreasing the stiffness of the system by Ak = 592880.1217 N/m, the natural frequency will be decreased by Af, = 31.6418HZ. What is the

In free vibration we experimentally determine the natural frequency of a mass-spring system to be f, = 120.2796 Hz. The results show that decreasing the stiffness of the system by Ak = 592880.1217 N/m, the natural frequency will be decreased by Af, = 31.6418HZ. What is the

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

Similar questions

A single degree of freedom mass-spring-damper system is subject to vibration under the influence of a harmonic force. On my site, it is given as m=2 kg, k=800 N/m, c=64 Ns/m. The amplitude of the harmonic force is F0=256 N and its frequency is w= 20 rad/s. Answer the questions in options a, b, and c according to the given information. 1) Calculate the damping ratio of the system (ξ) a.1 b.0.7 c.0.9 d.0.8 2)Calculate the magnification factor (M) of the system. a.0.86 b.1.25 c.0.312 D.0.625 3-) Calculate the maximum vibration amplitude (X) (meters). a.0.2 b.0.1 c.0.4 D.0.3
1. A system is needed to be designed as damped spring mass system. Calculate the amplitude of vibration. Stiffness=10 kN/m; mass 2Mg; and dashpot coefficient 2 kNs/m. It is subjected to a harmonic force = 500N @ frequency 0.5Hz ANS. X₁-43mm 2. What is the A length of three springs connected in series and parallel? Change in length of the spring is 4 cm. reelle k₁ llll пише m=160 gram
a damper, the frequency of oscillation is found to the stiffness of the spring is 1 kN/m. By introducing coefficient of the damper? be 90% of the original value. What is the damping In a spring-mass system, the mass is 0.1 kg and the stiffness of the spring is 1 kN/m. By introducing be 90% of the original value. What is the damping (a) 1.2 Ns/m (b) 3.4 Ns/m (c) 8.7 Ns/m (d) 12.0 Ns/m
Question 1. A body of mass 100 kKg is suspended by a spring of stifness of 30KN/m and a dashpot of damping constant 1000 N.s/m. Vibration is excited by harmonic force ft)=80 cos (67tt) 1- Write the equation of motion of the system using Lagrange's equation. 2- Find the natural frequency and the driving frequency. 3- Write the complete solution of the vibrating system.
A machine weighing 300lb is mounted on a supporting system consisting of four springs and four dampers. The vertical deflection of the supporting system under the weight of the machine is measured as 0.75in. The dampers are designed to reduce the amplitudeof vertical vibration to one-sixthof the initial amplitude after two complete cycles of free vibration. Find the following undamped natural frequency,damping ratio, and damped natural frequencyofthesystem.
Problem 1: Three springs and a mass are attached to a rigid, weightless bar PQ as shown in Fig. below Find the natural frequency of vibration of the system. k2 m Rigid bar with springs and mass attached. 0000
330.4691 kg, the stiffnesses K1=546103.6157 N/m, K2 = 417004.9619 N/m, the damping constant C =14789.1815 N.s/m and the length L = 0.3215 m. The damped natural frequency of the free vibration of this system is:
A mass of flexible machine part, m1 of 30 kg was observed to vibrate badly at frequency of 10 Hz. The vibration was caused by the application of a harmonic force, F of the flexible part. A judgment was made by a mechanical engineer that the viviauon was excessive because the frequency of the harmonic force coincides with the natural frequency of the flexible part. 100 N to (b) If the flexible machine part was be modeled as a spring-mass-damper system, calculate the value of equivalent stiffness, k, of the system. Give final answer in unit of kN/m. (c) Analyze the mass and stiffness of an absorber that would eliminate vibrations of the flexible part at frequency of 10 Hz, if the amplitude motion of the absorber mass, Xa at 10 Hz was observed to be 0.3 cm. (d) If the flexible machine part is operated in the speed range of 500 to 750 rpm, justify whether the design of vibration absorber in Q3(c) is safe to be used or not.
(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.
For a damped single degree of freedom system with natural frequency wn and damping ratio § , what is the least amount of damping ratio that eliminates any potential increase in vibration amplitude with increasing applied force frequency? Answer is 1/sqrt2 but how?
The phase angle o describe the relative shift in the sinusoidal vibration of the spring mass system resulting from the initial displacement Xo. Verify that equation 1.10 satisfies the initial condition. x(0) = xo x(t) = United States) w²x² +v² @ sin [(wt + b)] - Eq. 1.10 = tan -1 @xo Vo 1
A damped single-degree-of-freedom vibration system has m= 7 kg, c= 549 Ns/m, and k= 10 kN/m. Determine the damping ratio of the system. Note unit is required in this answer and will be marked.