VECTOR MECH...,DYNAMICS(LOOSE)-W/ACCESS
12th Edition
ISBN: 9781260265521
Author: BEER
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 19.5, Problem 19.148P
To determine
i.
The amplitude of the fluctuating force transmitted to the foundation if a dashpot with a coefficient of damping c = 365 Ns/m is connected to the machine element and to the ground.
To determine
ii.
The amplitude of the fluctuating force transmitted to the foundation if the dashpot is removed.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A 91-kg machine element supported by four springs, each of constant k = 175 N/m, is subjected to a periodic force of frequency 0.8 Hz and amplitude 89 N. Determine the amplitude of the fluctuating force transmitted to the foundation if (a ) a dashpot with a coefficient of damping c=365 N.s/m is connected to the machine element and to the ground, (b) the dashpot is removed.
A 7-kg block is suspended by three identical springs, each with k = 200 N/m. The
bottom of the block is attached to a dashpot that provides a damping force of F=
50|M N, where v is in m/s.
At t = 0 s, the block is given an initial velocity upward of 0.6 m/s from its equilibrium
position.
(a) What is the natural frequency of the system?
(b) Show whether this is an underdamped, a critically damped, or an overdamped
system.
(c) What is the frequency of the damped system?
(d) What is the amplitude of the damped oscillation?
A 2-kg block is supported by a spring with a constant of k= 128 N/m and a dashpot with a coefficient of viscous damping of c=0.6 N.s/m. The block is in equilibrium when it is struck from below by a hammer that imparts to the block an upward velocity of 0.4 m/s. Determine (a) the logarithmic decrement,(b) the maximum upward displacement of the block from equilibrium after two cycles.
Chapter 19 Solutions
VECTOR MECH...,DYNAMICS(LOOSE)-W/ACCESS
Ch. 19.1 - A particle moves in simple harmonic motion....Ch. 19.1 - A particle moves in simple harmonic motion....Ch. 19.1 - Prob. 19.3PCh. 19.1 - Prob. 19.4PCh. 19.1 - Prob. 19.5PCh. 19.1 - A 20-lb block is initially held so that the...Ch. 19.1 - Prob. 19.7PCh. 19.1 - A simple pendulum consisting of a bob attached to...Ch. 19.1 - Prob. 19.9PCh. 19.1 - A 5-kg fragile glass vase is surrounded by packing...
Ch. 19.1 - Prob. 19.11PCh. 19.1 - Prob. 19.12PCh. 19.1 - Prob. 19.13PCh. 19.1 - Prob. 19.14PCh. 19.1 - Prob. 19.15PCh. 19.1 - Prob. 19.16PCh. 19.1 - Prob. 19.17PCh. 19.1 - Prob. 19.18PCh. 19.1 - Prob. 19.19PCh. 19.1 - Prob. 19.20PCh. 19.1 - A 50-kg block is supported by the spring...Ch. 19.1 - Prob. 19.22PCh. 19.1 - Two springs with constants k1and k2are connected...Ch. 19.1 - Prob. 19.24PCh. 19.1 - Prob. 19.25PCh. 19.1 - Prob. 19.26PCh. 19.1 - Prob. 19.27PCh. 19.1 - From mechanics of materials it is known that when...Ch. 19.1 - Prob. 19.29PCh. 19.1 - Prob. 19.30PCh. 19.1 - Prob. 19.31PCh. 19.1 - Prob. 19.32PCh. 19.1 - Prob. 19.33PCh. 19.1 - Prob. 19.34PCh. 19.1 - Using the data of Table 19.1, determine the period...Ch. 19.1 - Prob. 19.36PCh. 19.2 - Prob. 19.37PCh. 19.2 - Prob. 19.38PCh. 19.2 - A 6-kg uniform cylinder can roll without sliding...Ch. 19.2 - A 6-kg uniform cylinder is assumed to roll without...Ch. 19.2 - Prob. 19.41PCh. 19.2 - Prob. 19.42PCh. 19.2 - A square plate of mass m is held by eight springs,...Ch. 19.2 - Prob. 19.44PCh. 19.2 - Prob. 19.45PCh. 19.2 - Prob. 19.46PCh. 19.2 - Prob. 19.47PCh. 19.2 - Prob. 19.48PCh. 19.2 - Prob. 19.49PCh. 19.2 - Prob. 19.50PCh. 19.2 - A thin homogeneous wire is bent into the shape of...Ch. 19.2 - A compound pendulum is defined as a rigid body...Ch. 19.2 - Prob. 19.53PCh. 19.2 - Prob. 19.54PCh. 19.2 - Prob. 19.55PCh. 19.2 - Two uniform rods each have a mass m and length I...Ch. 19.2 - Prob. 19.57PCh. 19.2 - A 1300-kg sports car has a center of gravity G...Ch. 19.2 - A 6-lb slender rod is suspended from a steel wire...Ch. 19.2 - A uniform disk of radius r=250 mm is attached at A...Ch. 19.2 - Two uniform rods, each of weight W=24 lb and...Ch. 19.2 - Prob. 19.62PCh. 19.2 - Prob. 19.63PCh. 19.2 - Prob. 19.64PCh. 19.2 - Prob. 19.65PCh. 19.2 - A uniform equilateral triangular plate with a side...Ch. 19.2 - Prob. 19.67PCh. 19.2 - Prob. 19.68PCh. 19.3 - Prob. 19.69PCh. 19.3 - Prob. 19.70PCh. 19.3 - Prob. 19.71PCh. 19.3 - Prob. 19.72PCh. 19.3 - Prob. 19.73PCh. 19.3 - Prob. 19.74PCh. 19.3 - Prob. 19.75PCh. 19.3 - Prob. 19.76PCh. 19.3 - A uniform disk of radius r and mass m can roll...Ch. 19.3 - Prob. 19.78PCh. 19.3 - Prob. 19.79PCh. 19.3 - Prob. 19.80PCh. 19.3 - A slender 10-kg bar AB with a length of l=0.6 m is...Ch. 19.3 - Prob. 19.82PCh. 19.3 - Prob. 19.83PCh. 19.3 - Prob. 19.84PCh. 19.3 - A homogeneous rod of weight W and length 2l is...Ch. 19.3 - Prob. 19.86PCh. 19.3 - Prob. 19.87PCh. 19.3 - Prob. 19.88PCh. 19.3 - Prob. 19.89PCh. 19.3 - Prob. 19.90PCh. 19.3 - Two 6-lb uniform semicircular plates are attached...Ch. 19.3 - Prob. 19.92PCh. 19.3 - The motion of the uniform rod AB is guided by the...Ch. 19.3 - Prob. 19.94PCh. 19.3 - Prob. 19.95PCh. 19.3 - Prob. 19.96PCh. 19.3 - Prob. 19.97PCh. 19.3 - Prob. 19.98PCh. 19.4 - Prob. 19.99PCh. 19.4 - Prob. 19.100PCh. 19.4 - Prob. 19.101PCh. 19.4 - Prob. 19.102PCh. 19.4 - Prob. 19.103PCh. 19.4 - Prob. 19.104PCh. 19.4 - Prob. 19.105PCh. 19.4 - Prob. 19.106PCh. 19.4 - Prob. 19.107PCh. 19.4 - The crude-oil pumping rig shown is driven at 20...Ch. 19.4 - Prob. 19.109PCh. 19.4 - Prob. 19.110PCh. 19.4 - Prob. 19.111PCh. 19.4 - Prob. 19.112PCh. 19.4 - Prob. 19.113PCh. 19.4 - Prob. 19.114PCh. 19.4 - Prob. 19.115PCh. 19.4 - Prob. 19.116PCh. 19.4 - Prob. 19.117PCh. 19.4 - Prob. 19.118PCh. 19.4 - Prob. 19.119PCh. 19.4 - Prob. 19.120PCh. 19.4 - Prob. 19.121PCh. 19.4 - Prob. 19.122PCh. 19.4 - Prob. 19.123PCh. 19.4 - Prob. 19.124PCh. 19.4 - Prob. 19.125PCh. 19.4 - A small trailer and its load have a total mass of...Ch. 19.5 - Prob. 19.127PCh. 19.5 - Prob. 19.128PCh. 19.5 - Prob. 19.129PCh. 19.5 - Prob. 19.130PCh. 19.5 - Prob. 19.131PCh. 19.5 - Prob. 19.132PCh. 19.5 - Prob. 19.133PCh. 19.5 - Prob. 19.134PCh. 19.5 - Prob. 19.135PCh. 19.5 - Prob. 19.136PCh. 19.5 - Prob. 19.137PCh. 19.5 - A 0.9-kg block B is connected by a cord to a...Ch. 19.5 - Prob. 19.139PCh. 19.5 - Prob. 19.140PCh. 19.5 - Prob. 19.141PCh. 19.5 - Prob. 19.142PCh. 19.5 - Prob. 19.143PCh. 19.5 - Prob. 19.144PCh. 19.5 - Prob. 19.145PCh. 19.5 - Prob. 19.146PCh. 19.5 - Prob. 19.147PCh. 19.5 - Prob. 19.148PCh. 19.5 - A simplified model of a washing machine is shown....Ch. 19.5 - Prob. 19.150PCh. 19.5 - Prob. 19.151PCh. 19.5 - Prob. 19.152PCh. 19.5 - Prob. 19.153PCh. 19.5 - Prob. 19.154PCh. 19.5 - Prob. 19.155PCh. 19.5 - Prob. 19.156PCh. 19.5 - Write the differential equations defining (a) the...Ch. 19.5 - Write the differential equations defining (a) the...Ch. 19 - Prob. 19.159RPCh. 19 - Prob. 19.160RPCh. 19 - Prob. 19.161RPCh. 19 - Prob. 19.162RPCh. 19 - Prob. 19.163RPCh. 19 - Prob. 19.164RPCh. 19 - A 4-lb uniform rod is supported by a pin at O and...Ch. 19 - Prob. 19.166RPCh. 19 - Prob. 19.167RPCh. 19 - Prob. 19.168RPCh. 19 - Prob. 19.169RPCh. 19 - Prob. 19.170RP
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 50-kg machine tool is mounted on an elastic foundation. An experiment is run todetermine the stiffness and damping properties of the foundation. When the tool is excitedwith a harmonic force of magnitude 8000 N at a variety of frequencies, the maximumsteady-state amplitude obtained is 2.5 mm, occurring at a frequency of 32 Hz. Use thisinformation to determine the stiffness and damping ratio of the foundation.arrow_forwardQuestion 1 In order to reduce vibrations being transmitted to the floor, a machine of mass m = 150kg is supported on 4 helical steel springs together with 4 dashpots which all act in parallel with each other. The stiffness of each spring is given by k1= 3.7 MN/m, and the damping coefficient of each dash-pot is given by c1 = 6.1kNs/m. To test how well the isolation system works, the machine is turned off and a shaker that produces a driving force of 100N at a frequency of 65 Hz is attached to the machine, causing it to vibrate. The mass of the shaker is negligible compared to the mass of the machine. Use a phasor diagram to determine: The displacement amplitude X of the machine, The phase angle by which the driving force leads the displacement.arrow_forwardAn 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.arrow_forward
- A 4-kg collar can slide on a frictionless horizontal rod and is attached to a spring with a constant of 450 N/m. It is acted upon by a periodic force with a magnitude of P=P m sin wft, where Pm= 13 N. Determine the amplitude of the motion of the collar if (a) wf = 5 rad/s, (b) = 10 rad/s.arrow_forwardPlease help me with this question. This is for review purposes. Thank you!arrow_forwardspring-mass system with m = 0.01 Mg and k = 5 kN/m is subjected to a harmonic force of amplitude 0.25 kN and frequency ωo. If the maximum amplitude of the forced motion of the mass (particular solution or steady state) is observed to be 100 mm, find the value of ωoarrow_forward
- A spring-mass system with m = 0.5 kg and k = 10,000 N/m with negligible damping, is used as a vibration pickup. When mounted on a structure vibrating with an amplitude of 4 mm, the total displacement of the mass of the pickup is observed to be 12 mm. Find the frequency of the vibrating structure.arrow_forwardA 180-kg motor is bolted to a light horizontal beam. The unbalance of its rotor is equivalent to a 28-g mass located 150 mm from the axis of rotation, and the static deflection of the beam due to the weight of the motor is 12 mm. The amplitude of the vibration due to the unbalance can be decreased by adding a plate to the base of the motor. If the amplitude of vibration is to be less than 60 μm for motor speeds above 300 rpm, determine the required mass of the plate.arrow_forward"An automobile, weighing 1100lb empty and 3000 lb fully loaded, vibrates in a vertical direction while traveling at 55 mph on a rough road having a sinusoidal waveform with an amplitude Y ft and a period 12 ft. Assuming that the automobile can be modeled as a single-degree-of-freedom system with stiffness 30,000 lb/ft and damping ratio zeta=0.15, determine the amplitude ratio of vibration of the automobile when it is (a) empty . Answer with 2 decimal places" and (b) fully loadedarrow_forward
- An electric motor and its base have a combined mass of M = 12 kg. Each of the four springs attached to the base has a stiffness k =480 kN/m and a viscous damping coefficient c. The unbalance of the motor is equivalent to a mass m =0.005 kg located at the distance e=90mm from the center of the shaft.When the motor is running at ω = 400 rad/s, its steady-state amplitude is 1.8 mm.Determine (a) the damping coefficient of each spring; and (b) the phase anglebetween the displacement of the motor and ωt.arrow_forwardA spring-mass system with m = 0.5 kg and k = 10,000 N/m, with negligible damping, is used as a vibration pickup. When mounted on a structure vibrating with an amplitude of 4 mm, the total displacement of the mass of the pickup is observed to be 12 mm. Find the frequency of the vibrating structure.arrow_forwardTwo blocks A and B, each of mass m , are supported as shown by three springs of the same constant k Block A and B are connected by a dashpot and block B is connected to the ground by two dashpots, each dashpot having the same coefficient of damping c Block A is subjected to a force of magnitude P=Pm sin wf t. Write the differential equations defining the displacements xA and xB of the two blocks from their equilibrium positions.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY