A single degree of freedom system with mass of 100 Kg, a damping ratio o 0.707 and a natural frequency of 8 HZ. The base of the system is excited with a frequency of 80 rad/s, The natural frequency of the system in rad/s is Choose. + Choose.. The value of the stiffness of the system is (N/m) 50.26 The damper of the system (in ke/s) is 0.1 325684 The frequency ratio is 10

A single degree of freedom system with mass of 100 Kg, a damping ratio o 0.707 and a natural frequency of 8 HZ. The base of the system is excited with a frequency of 80 rad/s, The natural frequency of the system in rad/s is Choose. + Choose.. The value of the stiffness of the system is (N/m) 50.26 The damper of the system (in ke/s) is 0.1 325684 The frequency ratio is 10

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: The graph shows the displacement versus time of a mass in a mass-damper-spring system. Which of the…

Q: Consider the system shown below Y1 mị k1 where u is the force applied to the cart, Yı is the…

A: Mass spring damper system is used to calculate the frequency of any system having known mass and…

Q: Find the natural frequencies of the system shown in Fig. 6.19 with m = 1 kg, != 1 m, k = 1000 N/m,…

Q: m= 100 Kg, K=40KN/m and C=400 N-m-s/rad. The natural frequency in rad/s is Choose... + The damping…

A: Given: Mass of the object (m)=100kgStiffness of the spring (k)=40kN/mDamping constant of the dashpot…

Q: The damper in a model reduces the oscillations of the system response. True False

A: It is required to determine whether use of damper reducing oscillations

Q: 3. b www 2000 N/m 100 kg x (t) Figure 2 By referring to Figure 2, compute the value of the damping…

Q: An undamped simple harmonic oscillator has mass 2.0 kg and spring constant 50 N/m. The initial…

Q: 0.08 0.06 0.04- 0.02 - x 2.13 Y: 0.002881 -0.02- x 0.45 Y: 0.03684 -0.04 2 2.5 时间:(s) 0.5 1 1.5 3…

Q: A piece of machinery can be regarded as a rigid mass with two reciprocating rotating unbalanced…

A: Total mass = 12 kg Unbalanced masses = 0.5 kg

Q: Q1 The vibration of a car is modelled as a damped single degree-of-freedom system with the following…

Concept explainers

Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,

Question

Ô https://moodle1.du.edu.om/mod/quiz/attempt.php?attempt%3D386399&cmid3D240776&page
Moodle
English (en) -
431-Mechanical Vibrations-50-20202
courses / MECH 431-50-20202 / Final Exam / Final Exam
A single degree of freedom system with mass of 100 Kg, a damping ratio of
0.707
and a natural frequency of 8 HZ.
The base of the system is excited with a frequency of 80 rad/s,
The natural frequency of the system in rad/s is
Choose. +
Choose...
The value of the stiffness of the system is (N/m)
50.26
The damper of the system (in kg/s) is
0.1
325684
The frequency ratio is
10
4
65.4
252662
2562
2265
Next p
ge

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 Calculation of natural frequency and stiffness of the system.

VIEW

Step 2 Calculation of damping coefficient and frequency ratio.

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

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

Please i need quick Answer
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:
QUESTION 15 A mass-spring damper system has the following parameters: • mass 250g damping constant 1/36000 Nh/m spring stiffness 500 N/m Calculate the damped frequency. O 1. Not possible to calculate. O 2.44.7 rad/s O 3.55.2 rad/s O 4.79.4 rad/s O 5. 25.8 rad/s
As shown in figure a mass of 100 kg is held between two springs. The natural frequency of vibration of the system, in cycle/s, is 20 kN/m eeee 100 kg 20 kN/m elle
The natural frequency of a system is determined to be 15 Hz ignoring the effects of damping. Calculate the damped natural frequency of the system assuming a damping ratio of 0.7.
2.- Determine if the system shown (modulator) is: (1 point) 2.1- Linear 2.2. Invariant in time.
A mass of 10kg oscillates at the end of a spring of stiffness, 5N/m. If the damping in the system is such that it gives a damping ratio of 0.45, determine. i) The critical damping. ii) The value of the damping coefficient. iii) The damped natural frequency. iv) The equation for the displacement if the initial velocity is 0.025m/s, and the initial displacement is 0 m.
Select the right answer for each of the following: 1- The damped vibrational system is. system, (c) none of these, (d) false statement. (a) conservative system, (b) nonconservative (a) viscous (b) solid 2- When a system vibrates in a fluid medium, the damping is (c) Coulomb. 3- When an initial excitation exerted on a vibrational system results in - ippearance. (a) natural frequency. (b) resonance. (c) beating. (d) none of these. 4- Undamped vibration is characterized by no loss of 1) (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.
A machine weighing 250 lb is mounted on a supporting systemconsisting of four springs and four dampers. The vertical deflection of the supporting systemunder the weight of the machine is measured as 0.80 in. The dampers are designed toreduce the amplitude of the vibration to 1/8 of the initial amplitude after two completecycles of the free vibration. Find the following properties of the system:a) undamped natural frequencyb) damping ratio andc) damped natural frequency.Comment on the effect of damping on the natural frequency.
A pump of mass 30 kg is supported on a support structure which has 4 springsarranged in parallel with stiffness values of 10 kN/m, 15 kN/m, 8 kN/m and12 kN/m respectively. Viscous damping is present within the system and 1 kNs/mis applied by a damper.i) Produce a neat sketch of the system and state its equation of motion.ii) Determine the damping ratio for the system, commenting on its value. iii) Determine the damped frequency of vibration.iv) Determine the logarithmic decrement for the vibrating system.
4. A convenient way to measure damping in a single-degree-of-freedom system is called logarith- mic decrement of free response. Consider the free response given by (4). Let's denote t₁ and t2 denote the times corresponding to two consecutive displacements ₁ and 2 measured one cycle apart, i.e., where t₂ = t₁ + T 2π Wd According to (4), show that the logarithmic decrement dis T = x1 8 = log = x2 where log has base e. Combine (5), (7), and (8) to obtain = (WnT 8 4π² +8² Will this method work for other initial conditions? why?
Q2) a vibratory system with viscous damping: Mass = 2.5 kg; spring constant k = 3 N/mm and the amplitude X decreases to 0.25 of the initial value after five consecutive cycles. Determine the damping coefficient of the damper in the system. k spring G b damper m mass x(t) Time