A machine of mass 220 kg is mounted on the middle of a fixed-fixed beam, with a viscous damp mechanism not shown. The steel beam (E- 207 GPa) has the following dimensions: a-0.05m, ba m and L=4m. It has been observed that when a harmonic force of magnitude 1000N is applies maximum steady-state response occurred at a frequency of 700 rpm. Determine the equivalen damping constant, neglecting the mass of the beam. I = 음 O 7919 s/m O9129 Ns/m F(t)=Focos ast 5 m x(1)

A machine of mass 220 kg is mounted on the middle of a fixed-fixed beam, with a viscous damp mechanism not shown. The steel beam (E- 207 GPa) has the following dimensions: a-0.05m, ba m and L=4m. It has been observed that when a harmonic force of magnitude 1000N is applies maximum steady-state response occurred at a frequency of 700 rpm. Determine the equivalen damping constant, neglecting the mass of the beam. I = 음 O 7919 s/m O9129 Ns/m F(t)=Focos ast 5 m x(1)

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: 3) A one-degree-of-freedom system has an effective mass M-4-kg, an effective spring stiffness…

A: To find (a) The natural frequency ωn and critical damping ratio ζ (b) The response q as a function…

Q: The following is the equation of free damped vibration of a horizontal rod of length L oscillating…

Q: 1. For the system below: a. find the differential equation in terms of 0 (for small values of 0) b.…

A: Given:

Q: A machine of mass 203.5 kg is mounted on four parallel springs each of stiffness 1.6 x 105 N/m. When…

Q: Figure below shows the single degree of freedom control surface/actuator system. The control surface…

Q: The tip of a massless clamped-free beam connected to mass m = 2 kg by a spring with stiffness k =…

A: The mass of the block, The stiffness of the spring, The mass is excited by the force, The Young's…

Q: A precision grinding machine is supported on an isolator that has a stiffness of 3 MN/m and a…

Q: The period Ta of damped linear oscillation for a certain 0.9 kg mass is 0.25 s. If the stiffness of…

Q: An aircraft undercarriage oleo can be simplified to a mass-spring damper system with a single degree…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: For a certain mass-spring system m = 100 kg and k = 8000 N/m. Determine the value of the critical…

Q: For the system shown in figure, compute the damping ratio, state whether the system is critically…

A: 1.2.

Q: What is the deformation response factor for a damped system with stiffness of 800N/m, and a mass of…

Q: For small positive damping, c, in the sinusoidally forced mass-spring system mz" + cz' + kr = Ggcos…

Q: Find the damping coefficient c for this system.

A: Given: m= 24 kg k= 3000 N/m no of cycles (N)=5 xNx0=110x: Amplitude To find: Damping coefficient c…

Q: A 100-kg tumbler produces a harmonic force of magnitude 5000 N. The stiffness coefficient of the…

A: Write the magnitude of harmonic force. F=5000 N Write the stiffness coefficient of the support.…

Q: For the single degree of freedom system shown below in Figure Q6, and considering only the steady…

A: In this problem, we will compute the amplitude of the mass displacement for the spring-mass system's…

Q: In an effort to miniaturize a mass-spring system, the mass was reduced by eight times, and the…

A: Calculated free oscillations periods of system.

Q: has a stiff us damping A precision grinding achine is supported on constant of 4 kN-s/m. The floor…

A: The stiffness is k=2 MN/m=2*106 N/m. The viscous damping constant is c=4 kN-s/m=4*103 Ns/m. The…

Q: ME 318 Problem 1. Consider a system containing a rotor experiencing rotational imbalance. The system…

A: To find:The maximum steady state displacement of the mass due to rotational imbalanceAn expression…

Q: The natural frequency of a system is determined to be 15 Hz ignoring the effects of damping.…

Q: vehicle weighing 5,000 lb is supported on four identical springs and four identical viscous dampers.…

A: For solution refer below images.

Q: Consider a driven undamped spring/mass system described by the initial-value problem d²x + w²x =…

A: Solution: Given Data: d2xdt2+ω2x=Fosinnγtx0=0dx0dt=0 To Find:

Concept explainers

Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.

Question

A machine of mass 220 kg is mounted on the middle of a fixed-fixed beam, with a viscous damping
mechanism not shown. The steel beam (E= 207 GPa) has the following dimensions: a=0.05m, b=0.2
m and L-4m. It has been observed that when a harmonic force of magnitude 1000N is applied, the
maximum steady-state response occurred at a frequency of 700 rpm. Determine the equivalent
damping constant, neglecting the mass of the beam.
ㅏㅏ
1 = 4/
7919 s/m
9129 N s/m
O7007 Ns/m
O 6807 Ns/m
O
F(t) = F, cos cot
m
u
x(1)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given

VIEW

Step 2: Calculation of moment of inertia and deflection of center of beam

VIEW

Step 3: Calculation of stiffness,natural frequency, damping ratio and damping constant

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 15 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

A rotating machine of 400 kg is similar to the system shown below. It operates at 3600 rpm (note: 1 rpm = 2π/60 rad/s). The machine is unbalanced such that its effect is equivalent to a 4 kg mass located 20 cm from the axis of rotation. An isolator with a spring stiffness of 8x106 N/m and a damping constant of 2x104 Ns/m is placed between the machine and the foundation. Determine the steady state response of the system. Find the force transmitted to the foundation and transmissibility of the isolator. Find the damping ratio of the system ζ . Find the transmissibility of the system, Tf. Find the frequency ratio of the system, β. Find the amplitude of the harmonic excitation force of the system, Fo in Newton (N). Find the displacement amplitude of the steady state response of the system, X in millimeters (mm). Find the damped frequency of the system, ωd in rad/s. Find the force transmitted to the foundation, FT in Newton (N). Find the frequency of the harmonic…
answer question 2 and 3
Find the free-vibration response of a spring-mass system subject to Coulomb damping for the following initial conditions x(0) = 0.5 m, *(0) = 0. Data: m= 10kg, k = 200 N/m, µ = 0.5. Q1 . ...
Given an oscillator of mass 2.0kg and spring constant of 180N/m, what is the period without damping? Use numerical methods to model this oscillator with an additional friction force equal to where c is a positive damping constant. Using c=5.0, what is the new period of oscillation. What about for c=10? Assume initial position is 0.2m and initial velocity is zero. Please find the period using the position versus time plot and use the first full cycle of the motion.
is my answer entered correct ?
i need the answer quickly
An underdamped shock absorber is to be designed for a motor cycle of mass 200 kg(m). When the shock absorber is subjected to an initial vertical velocity due to a road bump, the resulting displacement-time curve is to be as indicated below. Find the necessary stiffness and damping constants of the shock absorber if the damped period of vibration is to be 10 sec(τd) and the amplitude x1is to be reduced to one-eighth in one half cycle. Example is attached
a mass-spring-damper system has a mass of 100 kg. In 60 s, its free response apmplitude decays such that the amplitude of the 30th cycle is 20% of the amplitude of the 1st cycle. Estimate the damping constant c and the spring constant k.
A rail road bumper is designed as a spring in parallel with a viscous damper. What is the bumper's damping coefficient such that the system has a damping ratio of 1.25, when the bumper is engaged by a rail car of 20,000 kg mass. The stiffness of the spring is 200 kN/m. If the rail car engages the bumper, while traveling at a speed of 20m/s, what is the maximum deflection of the bumper? poooo m