A fixed-fixed steel beam, of length 5 m, width 0.5 m, and thickness 0.1 m, carries an electric motor of mass 75 kg and speed 1200 rpm at its mid-span, as shown in Fig.. A rotating force of magnitude 5000N is developed due to the unbalance in the rotor of the motor. A. Find the amplitude of steady-state vibrations by disregarding the mass of the beam, assuming negligible damping. B. What will be the amplitude if the mass of the beam is considered? C. Discuss that how the amplitude of vibration can be reduced in both cases Fo wt

A fixed-fixed steel beam, of length 5 m, width 0.5 m, and thickness 0.1 m, carries an electric motor of mass 75 kg and speed 1200 rpm at its mid-span, as shown in Fig.. A rotating force of magnitude 5000N is developed due to the unbalance in the rotor of the motor. A. Find the amplitude of steady-state vibrations by disregarding the mass of the beam, assuming negligible damping. B. What will be the amplitude if the mass of the beam is considered? C. Discuss that how the amplitude of vibration can be reduced in both cases Fo wt

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: Consider the following numerical data that apply to a viscously-data spring-mass system subjected to…

A: Here the steady state amplitude = F°K(1+r2) + (2∑r)2=ADAr∑<1.65 x 10-3F0=460Nr=WWhW=PWA=4 X…

Q: cies of transverse ki and k2 at the P= 1000 N, p =

Q: A single degree of freedom mass-spring system has the following parameters, m=0.5 kg, k=2x 10³ N/m,…

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: A disk of radius R = 2 m, whose mass is distributed homogeneously and equals 6 kg, is suspended at…

A: R=2mm=6kgk=0.5 Nm/radl=1mb=Ns/m

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: 2.20. Calculate the frequency of damped oscillation of the system shown in Fig. 2.23 for the values…

A: Answer: The value of critical damping is 35,000 N•s/m.

Q: A mass of m kg is on a spring with spring constant 10 N/m and dampingconstant 3 Ns/m. Find the mass…

A: solution given data: K =10 NmC=3 N-sm

Q: A spring with the Hooke's law constant k = 1 kg/s² has an oscillating object of mass 4kg attached to…

A: Given data, Spring constant, K = 1 kg/s2 or N/m Mass, m = 4 kg Applied external force, Ft=cosωot No…

Q: critical damping of the system.

A: Given: A vibratory system consists of a mass=16.5 kgSpring of stiffness=1350 N/mcoefficient=15…

Q: The nat. period of an undamped system is 3 s, but with a damping force that is proportional to the…

Q: A damped single degree of freedom mass-spring system is excited at resonance by a harmonic forcing…

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 automobile is found to have a natural frequency of 2 rod per seconds without passengers and 17.32…

Q: 4.9. A one-degree-of-freedom system of natural frequency w, and damping ratio 5 < 1B subject to a…

A: Find the attachment for the solution.

Q: 5. An electric motor with 34 kg of mass, rated speed of 3932 rpm and unba of 0.002 kg.m must be…

A: Given Mass, m = 34 kg Unbalance = 0.002 kg.m Transmissibility = 0.167 Find…

Q: The underdamped spring-mass system of m = 120 kg mass, stiffness of k = 3,080 N/m. and damping…

Q: A cantilever beam of length 700 mm, width 55 mm and thíckness 15 mm is made of steel with Young's…

Q: Q.5 The rotating unbalance of a 185 kg machine is 0.65 kg.m. The machine is paced at the midspan of…

Q: 5) A rail road bumper is designed as a spring What is the bumper's damping coefficient such of 1.25,…

Q: A mass with a 60 g vibrate at the end of a spring. The amplitude of the motion is 0.394 ft and a…

Q: A small sports car deflects vertical suspension system under its own weight by 0.05m. The suspension…

A: Given, Deflection under self-weight = δ = 0.05 m Mass of car = m= 1160 kg Part (a): When system…

Q: The exponential damping factor y of a spring suspension system is one-tenth the criti- cal value. If…

A: Let , the mass attached to spring system be m kg. Given , γ = γc10 , The exponential damping…

Q: External Force Damper Damper mass mass Smooth Surface No Friction Spring Spring sider the above…

Q: Exercise 1. A mass trailer M, attached to a wall by a spring and a damper with damping coefficient…

Q: The following system is oscillating under the action of a moment M = 20 sin(3t), it consists of a…

Q: 3.33. The following data are given for a damped single degree of freedom mass-spring system: mass m…

Q: Q1. The cantilever beam shown in Fig.1 has an end of mass = 10 kg. The response of the system is x₁…

Q: A .6kg block is hung from a spring with a force constant of 25 N/m. Calculate the displacement of…

A: Data given - Mass of the block = 0.6 kg Force constant k = 25 N/m

Q: An undamped spring mass system has a mass of 10 kg and a spring stiffness of 2250 N/m. It is excited…

Q: Given m = 1 kg, b = 5 Ns/m, k = 4 N/m, and F = 5 N. (a). What is the natural frequency of the…

A: According to the bartleby policy, answering first 3 subparts of the question

Q: A cantilever is driven in flexural vibration by an electrical coil mounted at its free end and…

Q: Example 9: - A mass (0.15 kg) is suspended from a spring of stiffness (6.3 N/m) without damping and…

Q: For the system shown below, the disc of mass M rolls without slip. Assume that the mass M - 11 kg,…

A: Given, Mass of the disc, M = 11 kg. Damping constant , c = 209 ns/kg. Stiffness of the spring , K1…

Q: 3.13. An unknown mass m is attached to the end of a linear spring with unknown stiffness coefficient…

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 fixed-fixed steel beam, of length 5 m, width 0.5 m, and thickness 0.1 m, carries an
electric motor of mass 75 kg and speed 1200 rpm at its mid-span, as shown in Fig.. A
rotating force of magnitude 5000N is developed due to the unbalance in the rotor of
the motor.
A. Find the amplitude of steady-state vibrations by disregarding the mass of the
beam, assuming negligible damping.
B. What will be the amplitude if the mass of the beam is considered?
C. Discuss that how the amplitude of vibration can be reduced in both cases
Fo
wt
2.

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

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Step 8

Trending now

This is a popular solution!

Step by step

Solved in 8 steps

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

Correct and clear answer please
#4 vibrations, will upvote anyone who will answer. Thanks
2. Consider the following compound pendulum, which consists of a thin rod attached to a pivot point 1/3 down its length, and has a thin disk of radius R attached to the end. Mass of the rod is m, and mass of the disk is me. Tasks: a. Find an Equation of Motion for rotational motion of the pendulum. Assume 0 <15° and apply the small angle approximation. b. Find the natural frequency w of this system. Report in terms of mr, ma, I, R, and g.
Subject: mom and vibrations A solid shaft having diameter , length and modulus of rigidity ⁄ is attached to a circular disc which has mass moment of inertia . If this system is allowed to vibrate in a viscous medium, and the amplitudes of vibratory motion on one side of the mean position for consecutive cycles are found to be respectively; (iii) The torsional stiffness of the solid shaft (iv) The torsional damping coefficient of the system (iv) The time period for damped vibration
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.
for the system shown in Fig. (2) the values m = 1,750 kg, c = 3,500 N-s/m, k = 7x 105N/m, a = 1.25 m and b = 2.5 m. 1. Draw F.B.D. 2. find equation of motion & wd. 3. 4. Determine the value of the critical damping. Calculate time response. k rigid link m
The motion of a spring-mass system with damping is governed by: (see image) (a) Classify the damping as either undamped, underdamped, critically damped, or overdamped. (b) Find the general solution of the system and specify the amplitude, frequency and phase shift. (c) Solve the initial value problem
Suppose that a horizontal string of length c =2 with fixed end points (the end points are fixed on the horizontal axis) is initially raised at its mid point to the height h above the horizontal and then released (no initial velocity). Write the boundary value problem modeling the vibrations of the string and solve the problem.
Please don't provide handwritten solution....
DEPARTMENT OF MECHANICAL ENGINEERINGMENG 331 DYNAMICS OF MACHINERY