A 3 kg system is struck by a hammer blow that exerts 35 N for 0.15 seconds. The frequency response to the blow is vibration at 14.5 Hz and p is measured to be -13 mm at t = 1.5 seconds. Find k and c for the system.

A 3 kg system is struck by a hammer blow that exerts 35 N for 0.15 seconds. The frequency response to the blow is vibration at 14.5 Hz and p is measured to be -13 mm at t = 1.5 seconds. Find k and c for the system.

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: an object weighing 4lb, when hung from the ceiling, stretches a spring by 6in at equilibrium. the…

Q: load we 2, and quilibriu

Q: A mass of 512 g stretches a spring by 8.5 cm. The damping constant is c= 0.37. External vibrations…

A: For solution refer below images.

Q: A 8.6kg body is suspended from a spring of constant k 6.9kN/m. At time t = 0, it has a downward…

Q: QUESTION 2 Consider a two-degrees-of-freedom system shown below. k₁ woo kz oooo kz oooo m2 F2 What…

Q: A single degree damped vibrating system is formed of a block of mass m = 5 kg, a spring of K = 100…

Q: Magnitude of 23N harmonic force is acting on an undamped system with mass of 10kg and stiffness of…

Q: A load weighing 2 kg is attached to a spring. If the damping force is 5.5, spring constant is 4.2,…

A: Given data as per the question Mass =2kgDamping =5.5spring (k)=4.2Distance(A)=0.2in=0.00508 m

Q: A long spring has a mass of 1 slug attached to it. The spring stretches 16/13 ft and comes to rest.…

Q: L= 0.4 m, = U. m =1.5 kg, N/im ánd è N determine an expression for the response of the system if the…

Q: A spring mass system consists of a mass 10 kg and a spring with a stiffness of 2 kN/m. The spring…

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

Q: A damped single-degree-of-freedom vibration system has m= 7 kg, c= 549 Ns/m, and k= 10 kN/m.…

A: In vibrating system, damping ratio represents the degree of dampness provided in the vibrating…

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: In a damped single-degree-of-freedom system with a mass of m = 10 kg, stiffness coefficient k = 4000…

Q: The damped spring system shown on the board has the following properties. m = 0·0259 |b-sec / inch…

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

Q: Obtain the equation of motion of the mass m connected as in the figure. Examine the movement that…

Q: Q2/ The measurements on a mechanical vibrating system show that it has a mass of 8 kg and that the…

A: Cc = critical damping coefficient = 2kmk = stiffness = 5400 N/mm= mass = 8Cc = 1,662.768

Q: 200 mm m 15 kg C-40 N-5/m TTTTT Fig. 1 K-300 N/m 100 mm

A: Mass =15kgC= 40 N-s/mK= 300 N/m

Q: A damped single-degree-of-freedom vibration system has m= 7 kg, c= 589 Ns/m, and k= 8 kN/m.…

Q: Determine the oscillation amplitude and frequency of the mass in the figure below for t₁ st st₂.…

A: Given: Mass→m=0.5 Kg The spring constant→k=50 N/m Damping coefficient→C=1 N.s/m From the figure, the…

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: 6. The equation shown here is the static and dynamic coupling k +k, k,l, k,l, m ml, I, k,l, те

Q: DETERMINE THE AMPLITUDE OF THE STEADY STATE VIBRATION AND ANGLE BY WHICH X LAGS Y.

Q: 3) Consider the simple pendulum-spring-mass system below, where mass m is added to the tip of the…

Q: Consider the mass-spring and damping system as shown in the figure. A harmonic force F = F0sin ωt…

A: Data given, Stiffness of spring 7093N/s Mass 11kg Damping coefficient 252Ns/m

Q: 20 sin(@t) B D 150 225 225 75 N 50 N K= 2,5 kN/m C= 33 Ns/m

Q: In vibration testing, an instrumented hammer is often used to hit a device to excite it and to…

A: To find: The response at 0.55. Given: The mass is m=1 kg. The value is c=5 kg/s. The stiffness is…

Q: Q2) ) A mass of 1 kg is to be supported on a spring having a stiffness of 9800 N/m. The damping…

Q: Determine the natural frequency

A: To find the natural frequency.

Q: A simple seismometer used to measure ground motion is shown in the figure below. If the mass m = 300…

A: Given: The mass m=300 kg Stiffness k=3000 Nm Damper c=600 Nm The ratio of output to input amplitude…

Q: An electrical switch gear is supported by a crane through a steel cable of length 4 m and diameter…

A: Given data: L=4 md=0.01 mT=0.01 s Need to determine the stiffness of the cable.

Q: k2 k3 m - 13-

Q: A mass of a 2 slug, when attached to a spring, causes an elongation of 2 ft in this spring and then…

A: The mass is m=2 slug The elongation in spring is 2 ft. The external force is f(t) = 8 sin4t. The…

Q: the differential equation and find the natural frequency. (Mech. Vibration)

Q: 22/ The measurements on a mechanical vibrating system show that it has a mass of 8 kg and that the…

Q: Consider the spring mass system shown in Figure Task 2b. It has a mass, m of 4 kg and the spring…

Q: personal frequency equation for the following

Q: A simplified vibration measuring instrument is used to measure the vertical acceleration of…

A: Given : ω=10 r/s m=1.2 kg k=104 N/m To find : a) max acceleration b) amplitude of duct

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

A 3 kg system is struck by a hammer blow that exerts 35 N for 0.15 seconds. The
frequency response to the blow is vibration at 14.5 Hz and p is measured to be -13 mm
at t = 1.5 seconds. Find k and c for the system.

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 4 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

i need the answer quickly
A damped single-degree-of-freedom vibration system has m= 3.6 kg , c= 513 Ns/m , and k= 24 kN/m . Determine the undamped natural frequency of this system. Note Unit is required in your answer
Please solve this problem by showing the manual calculation and choose the correct answer(SUBJECT: mechanical vibrations)
! help asap plzxzzz
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
Consider a two-degrees-of-treedom system shown below What is the amplitude of vibration of mass 2 at the input frequency? (Thi is just ancther way of asking ampitude of the particular solution. The anower must be positive. Use scientific notation with 3 significant figures. Omit units Use mt -3 kg m2 -1 kg k1- 112 N/m - 148 N/m K3 = 155 N/m F1 = 349 cos(o.90 N F2 =0.
A spring-mass system has a mass of 5 kg and stiffness of 200 N/m and is subjected to a harmonic force as follows: F(t)= 100 cos 30t N Find the total response of the system when the initial displacement is 0.1 m and the initial velocity is 0.1 m/s.
2 – Response of the two-degree-of-freedom system shown in to an initial displacements of uj 0.915 and u2 = 2.0 is such that q2 = 0. Find the mode shapes and a, where ki = a k2. Normalize each mode so that the modal mass has unit value. Write the equation for the force in the springs. k, 8m kz 2m U2 ui
The pointer of the vibration measuring instrument is observed to move between the 0.1 and 0.3 marks on the vertical scale, when subject to a displacement alternating at a frequency of 100 rad/s. What would the excursion be if the forcing frequency were doubled?
The mass of the system shown below is 10Kg. The mass is initially at rest when at time t=0, it is given an initial disturbance as shown. The viscous damping coefficient is 100NS/m and the spring stiffness, K is 100N/m. Which equation describes the movement of the mass. Disturbance Mass Spring Damper Select one: x(t) = (A, + A½t) e¯wnt a. %3D x(t) = A, e(-3+v?-1)wnt + A,e(-3-v?-1 )wnt x = (A3cos wat+ A4sin wat)e-wnt %3D C. Finish attempt.. evious page
3
Please