PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 22, Problem 20P
A uniform board is supported on two wheels which rotate in opposite directions at a constant angular speed. If the coefficient of kinetic friction between the wheels and board is μ, determine the frequency of vibration of the board if it is displaced slightly, a distance x from the midpoint between the wheels, and released
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A smooth disk with a mass of 3 kg is placed on a cylindrical surface.It can move without slipping. This cylinder has a mass of 2 kgproperly connected to the AB bar at its midpoint. AB bar is also middleIt is connected to a spring with a constant k = 300 N/m. EUrod can move freely around point A. Boccurs when the tip is given a small displacement and released.Calculate the period of the vibration.
Determine the characteristic equation and the periods of vibration of the indicated system.
Determine the natural period of vibration of the
uniform bar of mass m when it is displaced downward
slightly and released.
Chapter 22 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
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
- Q6/ Find the natural frequency of vibration for the system shown, when Kı = 10 N/mm, K2 = 5 N/mm, K3 = 3 N/mm and W = 109 N. K2 3 KI K3 Warrow_forwardThe 30kg cylinder causes a static deflection of 50mm in the coiled spring. If the cylinder is depressed an additional 25mm from equilibrium position, and released from rest, calculate a) the resulting natural frequency of the vertical vibration in cycles per second * 30 kgarrow_forwardmachine 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_forward
- 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.arrow_forwardThe block of mass m is suspended from three springs with stiffnessesk1 and k2 as shown. The frequency of vibration of this system is 5 Hz. Afterthe middle spring is removed, the frequency drops to 3.6 Hz. Determine theratio k2/k1arrow_forward2. The weightless rod carries two masses m. one at a distance L from the pivot or the other at 2L. If the rod is rotated by a small angle e and released, determine the following: a. the differential equation of motion of the system, and b. the natural frequency of vibration of the rod. (J. - mc?, where c dist amce from mass m to pivot 0.)arrow_forward
- A 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 system is in equilibrium in the position. Find the period of vibration for small amplitudes. Neglect the mass of the rod and size of the 1.8 kg. mass. Given Required Solutionarrow_forwardThe disk shown in (Figure 1) has a weight of 10 lb and rolls without slipping on the horizontal surface as it oscillates about its equilibrium position. Figure k = 100 lb/ft 1 of 1 Part A If the disk is displaced, by rolling it counterclockwise 0.4 rad, determine the equation which describes its oscillatory motion when it is released. Initially, the disk is at rest. Express your answer in terms of the variable t. Enter coefficients using three significant figures. 0(t) = Submit Provide Feedback V7 ΑΣΦ Request Answer ↓↑ vec ? Next >arrow_forward
- k The 8.8 kg block is attached to a spring (k = 214 N/m) as shown. The small wheels serve to eliminate friction between the block and the surface, but can be treated as massless. The block is displaced an initial distance of 1.6 m with an initial velocity of 6.1 m/s. This causes the system to undergo free, undamped vibration. Determine the equation representing the position of the block, x, as a function of time, t. Then use this equation to determine the position of the block at 2.2 s.arrow_forwardA spring with a spring constant of 1200lbf/ft is attached to block with a mass of 96.6lbm horizontally. It was initially displaced 3 inches to the left of the equilibrium position and released at 12in/s going to the right. Determine the a) maximum displacement of the resulting vibration in inchesarrow_forwardThe 0.2 kg mass is suspended from a rigid frame. Pin A at the end ofarm OA engages a slot in the frame, causing the frame to oscillate in the verticaldirection as the arm turns. If the angular velocity of OA is ω=35 rad/s, determinethe amplitude of the steady-state vibration of the weight relative to the frame.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
Introduction to Undamped Free Vibration of SDOF (1/2) - Structural Dynamics; Author: structurefree;https://www.youtube.com/watch?v=BkgzEdDlU78;License: Standard Youtube License