EBK ENGINEERING MECHANICS
15th Edition
ISBN: 9780137616909
Author: HIBBELER
Publisher: VST
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 22, Problem 68P
The 200-lb electric motor is fastened to the midpoint of the simply supported beam. It is found that the beam deflects 2 in. when the motor is not running. The motor turns an eccentric flywheel which is equivalent to an unbalanced weight of 1 lb located 5 in. from the axis of rotation. If the motor is turning at 100 rpm, determine the amplitude of steady-state vibration. The damping factor is c/Cc = 0.20. Neglect the mass of the beam.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
m
Base
The response for the block is a
sine harmonic function and its
amplitude is 0.458 m
The response for the block is a
cosine harmonic function and its
amplitude is 0.019 m
The response for the block is a
cosine harmonic function and its
amplitude is 1.56 m
The response for the block is a
cosine harmonic function and its
amplitude is 0.119 m
A coil of spring stiffness 4 N/mm supports
vertically a mass of 20 kg at the free end. The
motion is resisted by the oil dashpot. It is found
that the amplitude at the beginning of the fourth
cycle is 0.8 times the amplitude of the previous
vibration. Determine the damping force per unit
velocity. Also find the ratio of the frequency of
damped 'and undamped vibrations.
The block (mass not given) is subjected to the force F = (501 sin(5.9t)) N, where t is in seconds.
The spring constant (of each of the springs) is k = 342 N/m. The damping ratio is c/c. = 0.75. If
the natural period of vibrations is T, = 0.98 s, what is the amplitude (in meters) of the steady-
state vibrations?
k
k
m
F
Chapter 22 Solutions
EBK ENGINEERING MECHANICS
Ch. 22 - A spring is stretched 175 mm by an 8-kg block. If...Ch. 22 - A spring has a stiffness of 800 N/m. If a 2-kg...Ch. 22 - Prob. 3PCh. 22 - Prob. 4PCh. 22 - Prob. 5PCh. 22 - Prob. 6PCh. 22 - Prob. 7PCh. 22 - Prob. 8PCh. 22 - A 3-kg block is suspended from a spring having a...Ch. 22 - Prob. 10P
Ch. 22 - Prob. 13PCh. 22 - Prob. 14PCh. 22 - Prob. 16PCh. 22 - Prob. 17PCh. 22 - A uniform board is supported on two wheels which...Ch. 22 - Prob. 24PCh. 22 - Prob. 30PCh. 22 - Prob. 31PCh. 22 - Prob. 32PCh. 22 - Determine the differential equation of motion of...Ch. 22 - Prob. 36PCh. 22 - If the block-and-spring model is subjected to the...Ch. 22 - A block which has a mass m is suspended from a...Ch. 22 - A 4-lb weight is attached to a spring having a...Ch. 22 - A 4-kg block is suspended from a spring that has a...Ch. 22 - A 5-kg block is suspended from a spring having a...Ch. 22 - Prob. 48PCh. 22 - The light elastic rod supports a 4-kg sphere. When...Ch. 22 - Find the differential equation for small...Ch. 22 - Prob. 52PCh. 22 - The fan has a mass of 25 kg and is fixed to the...Ch. 22 - In Prob. 22-53 , determine the amplitude of...Ch. 22 - Prob. 55PCh. 22 - Prob. 56PCh. 22 - Prob. 57PCh. 22 - Prob. 58PCh. 22 - Prob. 59PCh. 22 - Prob. 60PCh. 22 - Prob. 61PCh. 22 - Prob. 62PCh. 22 - Prob. 65PCh. 22 - Determine the magnification factor of the block,...Ch. 22 - Prob. 67PCh. 22 - The 200-lb electric motor is fastened to the...Ch. 22 - Prob. 70PCh. 22 - Prob. 72PCh. 22 - Prob. 73PCh. 22 - Prob. 74PCh. 22 - Prob. 75PCh. 22 - Prob. 76PCh. 22 - Prob. 79P
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
- machine mounted on elastic supports, is free to vibrate vertically. The machine has a mass of 40 kg and rotor out-of-balance effects are equivalent to 2 kg at 150 mm radius. Resonance occurs when the machine is run at 621 rpm. the amplitude of vibration at this speed being 45 mm. Determine the amplitude when running at 500 rpm and find the angular position of the out-of-balance mass when the machine is at its highest position during vibration.arrow_forwardA machine mounted on a single coil spring has a period of free vibration of T. If the spring is cut into four equal parts and placed in parallel and the machine is mounted on them, then the period of free vibration of the new system will bearrow_forwardThe spring mounted mass is driven by the force F = 100 sin wt. Calculate the two values of w for which the amplitude of the steady-state vibration is 50 mm. k = 5 kN/m m = 2 kg|arrow_forward
- The platform, supported by a pin at B and a spring at C, is in equilibriumin the position shown. When the viscous damper at A is disconnected, thefrequency of the system for small amplitudes is 2.22 Hz. Determine the damping coefficient c that would critically damp the system.arrow_forwardA 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 downwardarrow_forwardThe small block at A has a mass of 4 kg and is mounted on the bent rod having negligible mass. Part A If the rotor at B causes a harmonic movement SB (0.1 cos 14t) m, where t is in seconds, determine the steady-state = amplitude of vibration of the block.(Figure 1) Express your answer with the appropriate units. HA ? Ymax = 0.005 m Submit Previous Answers Request Answer Figure 1 of 1 > X Incorrect; Try Again; 2 attempts remaining -0.6 m Provide Feedback Next > 1.2 m k = 15 N/marrow_forward
- The spring constant of one car's spring is 24 kN / m and one tire has a mass of 370 kg. The relative damping factor is 0.35. The unevenness of the road causes a force on the wheel at a frequency of 0.74 Hz and the amplitude describing the unevenness of the road is 22 mm. What is the vibration amplitude of the car body in whole millimeters? For damping vibrationarrow_forwardPlease answer the attached question.arrow_forwardHello, please answer this question. Thank youarrow_forward
- The homogeneous disk, of mass-6Kg and radius R-1 m, rolls without slipping over the surface. The system has two springs of constant k-4500N/m and a damper of constant c= 110 Ns/m.. If the system is vibrating with an initial amplitude of 0.2 m, find the frequency of vibration of the system. Show your work. O 19.1 rad/s O 21.7 rad/s O 16.9 rad/s O 146 rad/s Cylinder, mass m ►x(t) k k R C Pure rollingarrow_forward10- The bar has a weight of 6 lb. If the stiffness of the spring isk 8 lb/ft and the dashpot has a damping coefficient c = 60 lb.s/ft. determine the differential equation which describes the motion in %3Darrow_forwardDerive the differential equation of motion for the system shown in its equilibrium position. Neglect the mass of link AB and assume small oscillations. Use the values m1=22 kg, m2=31 kg,k=800 N/m, c=163 N·s/m, a=340 mm, and b=610 mm and calculate the damping factorarrow_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 PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering 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
Ch 2 - 2.2.2 Forced Undamped Oscillation; Author: Benjamin Drew;https://www.youtube.com/watch?v=6Tb7Rx-bCWE;License: Standard youtube license