Determine the frequency of the free vibrations, when a body of mass 20 kg is suspended from a spring which deflects 15 mm under the weight of the body. Also find the viscous damping force required to make the motion a period at a speed of 1 m/s. If when damped to this extent, a distinguish having a maximum value of 187.5 N and vibrating at 8 Hz is made to act on the body, find the amplitude of the ultimate motion.

Determine the frequency of the free vibrations, when a body of mass 20 kg is suspended from a spring which deflects 15 mm under the weight of the body. Also find the viscous damping force required to make the motion a period at a speed of 1 m/s. If when damped to this extent, a distinguish having a maximum value of 187.5 N and vibrating at 8 Hz is made to act on the body, find the amplitude of the ultimate motion.

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 homogeneous disk, of mass-6Kg and radius R-1 m, rolls without slipping over the surface. The…

A: If you need any further assistance contact me by raising the clarification request

Q: A 1.5 kg mass is attached to a vertically oriented spring, stretching it 0.45 m. The mass is moved…

A: Solution: After adding a mass of 1.5kg the spring is stretched to a equilibrium position that is…

Q: The 20kg block is subjected to the action of the harmonic force F=90cos6t N, where t is in seconds.…

Q: An electric motor with a mass of 20 kg is placed in the middle of a beam that is jointly connected…

A: Given: Mass of the rotor m=20kg Speed of the rotor ω=20rad/s Eccentricity e=0.020m Solution: Maximum…

Q: A collar with mass m that slides on a frictionless horizontal rod is attached to a spring with…

A: The static deflection of the spring is The natural frequency of the system is The amplitude of the…

Q: A 3-kg block is suspended from a spring having a stiffness of k = 200 N/m. If the block is pushed 50…

A: To find:(a) Equation of motion.(b) Amplitude of motion.(c) Natural frequency of vibration.

Q: k The 8.8 kg block is attached to a spring (k = 214 N/m) as shown. The small wheels serve to…

Q: An electric motor of mass 68 kg is mounted on an isolator block of mass 1200 kg and the natural…

A: Given 68 kg mounted on 1200kg m=1200+68=1268kg wn=160 rpm=160×2𝜋60=16.75rad/s F=1005m, w= 31.4…

Q: According to a source THEORYO F VIBRATION WITH APPLICATIONS FOURTHEDMON W I L L IAMT.THOMSON ..k.E…

A: Step 1: Let's revisit the analysis and confirm the solution step-by-step for the given mechanical…

Q: A 15 kg block hangs from a spring with a spring constant of 12 kN/m. The block is initially held so…

A: Given data: Mass of the object (m) = 15 kg Spring constant (k) = 12 kN/m Need to determine the…

Q: A metal block, placed on a rough surface, is attached to a spring and is given an initial…

Q: P3). A heavy block of m = 40.0 kg is connected to a spring. The natural frequency of the blockspring…

A: Answer = 0.4036 m

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: A 40 kg fan has a rotation unbalance of magnitude of 0.01 kg.m. The fan is mounted on a beam which…

Q: mo A 100 kg machine has an unbalanced mass of 1 kg, which is rotating at a constant speed of 500 rpm…

Q: A force of 3 N stretches a spring by 1 m.(a) Find the spring constant k.(b) Amass of 4 kg is…

A: givenForce applied to spring F=3Nspring streched δ=1mAmass of 4 kg is attached to the spring.At t =…

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

Determine the frequency of the free
vibrations, when a body of mass 20 kg is
suspended from a spring which deflects 15
mm under the weight of the body. Also
find the viscous damping force required to
make the motion a period at a speed of 1
m/s. If when damped to this extent, a
distingnish having a maximum value of
187.5 N and vibrating at 8 Hz is made to
act on the body, find the amplitude of the
ultimate motion.

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

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 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

A spring extends by 5 centimeters when loaded vertically with 2.5kg of weight. A new weight of 1.75kg was attached to it and was displaced 6cm from its new equilibrium position and was released from rest. Determine the frequency of vibration in rad per second?
A block having a weight of 8 lb is suspended from a spring having a stiffness k = 40 Ib/ft. If the block is pushed y = 0.4 ft upward from its equilibrium position and then released from rest. What is the amplitude of the vibration? Assume that positive displacement is downward
An automobile is modeled as a single-degree-of-freedom system vibrating in the vertical direction. It is driven along a road whose elevation varies sinusoidally. The distance from peak to valley () is 0.2 m and the distance along the road between the peaks is 35 m. If the natural frequency of the automobile is 2 Hz and the damping ratio of the shock absorbers is 0.15, determine the amplitude of vibration of the automobile at a speed of 60 km/hour. If the speed of the automobile is varied, find the most unfavorable speed for the passengers.
A weight attached to a spring of stiffness 3.0 lb/in has a viscous damping device. When the weight is displaced and released, the period of vibration is found to be 1.80 seconds and the ratio of consecutive amplitudes is 4.2 to 1.0. Determine the amplitude and phase angle when a force F-2cos(3t) acts on the system.
The spring constant of the spring-mass-damper system is k = 5 kN/m, the damping constantcritical value ckr = 200 Ns/m and logarithmic decrement δ = 2. System initial conditionsare x0 = 0 m and v0 = 1 m/s. Determine the damping due to the initial conditionsthe maximum value xmax of the displacement of the characteristic vibration and its moment of occurrence tmax. Specifyresponse, i.e. in this case the values of the variables needed by the station x(t).
Three (very small) beads with masses m, m, and u can slide without friction on a (very thin) fixed ring of radius a and are connected to each other by (weightless) springs of equal stiffness k and equilibrium length 1 = √3a. Find the normal frequencies and normal modes of vibration for this system. Interpret the physical meaning of the modes you have found. m wwwww. mu k,l wwww. k, I m
only handwritten answer please
A damped spring – mass system has a mass of 2 kg, a spring of stiffness 98 N/m and a dashpot with a viscous damping coefficient of 42 Ns/m. If the mass is disturbed by 70 mm and then released from rest, determine the displacement of the mass after 0·12 seconds