3. Calculate the natural frequency and damping ratio for the system in figure below. Assumethat no friction acts on the rollers. Is the system overdamped, critically damped, or under-damped?2kN/mwww3kN/mwww10kN/mwwwwww10kg4kN/mwww1kg/s1kN/m

Natural frequency = 40.25 rad/sDamping ratio= 0.00158 System is underdampedExplanation:Step 1:…

Answered: 3. Calculate the natural frequency and…

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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Q3/ For the system shown in figure if the damping ratio is 0.3 derive the equation of motion using Newton's second law and find: a- The natural frequency. b- The damping constant. c- The ratio of any consecutive cycles. k=2 x 10 N/m m = 4.2 kg 10 cm 40 cm 60 cm ITTTI
PARTS A & B solve carefully and label each part and CIRCLE FINAL ANSWER ( Use image Below) Part A - Assuming the elements are all linear, determine a model for the mass-spring-damper system. Make sure to clearly define the direction of positive velocity. Simplify your answer such that the model is in terms of the parameters (?, ?, ??, ??), the input force (?), the spring deflection and the mass velocity as well as their time derivatives. Part B - Take the ANSWER from PART A and replace the damping constant ? with the nonlinear expression ? = ?? + ?? + ? , with ? as the velocity of the mass.
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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.
Can you please show the complete solution of the image below. Thanks! Subject: Mechanical Vibration
Suppose we have determined that the lowest natural frequency of a particular helical compression spring is 20286 rpm. According to the prescription in our book and according to the presentation in class, find the highest recommended operating frequency of a machine that utilizes this spring. Give your answer in rpm, but do not include units--Blackboard will not understand
Title Plot the solution of a linear, spring and mass system with frequency ?n = 3 rad/s, x0 = 1.2mm and v0 Description Plot the solution of a linear, spring and mass system with frequency ωn = 3 rad/s, x0 = 1.2mm and v0 = 2.34mm/s, for at least two periods. Compute the natural frequency and plot the solution of a spring-mass system with mass of 2 kg and stiffness of 4 N/m, and initial conditions of x0 = 1mm and v0 = 0mm/s, for at least two periods.
is my sloution correct ?
Number four, keep four decimal places Number four, keep four decimal places Number four, keep four decimal places
2. Calculate the natural frequency and damping ratio for the system in figure below given the values m = 10 kg, c = 100 kg/s, k₁ 4000 N/m, k2 200 N/m, and k3 1000 N/m. = Assume that no friction acts on the rollers. Is the system overdamped, critically damped, or underdamped? C кий m k₂ k3
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3. Calculate the natural frequency and damping ratio for the system in figure below. Assume that no friction acts on the rollers. Is the system overdamped, critically damped, or under- damped? 2kN/m www 3kN/m www 10kN/m www www 10kg 4kN/m www 1kg/s 1kN/m