Vector Mechanics for Engineers: Dynamics
11th Edition
ISBN: 9780077687342
Author: Ferdinand P. Beer, E. Russell Johnston Jr., Phillip J. Cornwell, Brian Self
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 19.2, Problem 19.38P
To determine
(a)
The maximum angular velocity of flywheel.
To determine
(b)
The radius of gyration of flywheel.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Two uniform rods, each of weight W = 1.2 lb and length l = 8 in., are welded together to form the assembly shown. Knowing that the constant of each spring is k = 0.6 lb/in. and that end A is given a small displacement and released, determine the frequency of the resulting motion.
A 15-lb slender rod AB is riveted to a 12-lb uniform disk as shown. A belt is attached to the rim of the disk and to a spring that holds the rod at rest in the position shown. If end A of the rod is moved 0.75 in. down and released, determine (a) the period of vibration, (b) the maximum velocity of end A.
3.
A light rod AB of length 600 mm has a fixed hinge at A and a mass of 5 kg concentrated at B. A
vertical spring is attached to point C a distance 400 mm from end A. The spring which extends
25 mm for a direct load of 5 kgf is so adjusted that the rod AB is horizontal in the rest position.
Show that if AB is slightly displaced the rod oscillates in a simple harmonic manner with a
periodic time of about 0.48 s.
Chapter 19 Solutions
Vector Mechanics for Engineers: Dynamics
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 - Prob. 19.6PCh. 19.1 - A simple pendulum consisting of a bob attached to...Ch. 19.1 - A simple pendulum consisting of a bob attached to...Ch. 19.1 - A 10-Ib block A rests on a 40-Ib plate B that is...Ch. 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 - The uniform rod shown has mass 6 kg and is...Ch. 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 - Prob. 19.61PCh. 19.2 - Prob. 19.62PCh. 19.2 - Prob. 19.63PCh. 19.2 - Prob. 19.64PCh. 19.2 - A 5-kg uniform rod CD of length l=0.7 m is welded...Ch. 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 - A homogeneous wire of length 2l is bent as shown...Ch. 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 - Prob. 19.85PCh. 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 - Prob. 19.91PCh. 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 uniform disk with radius r and mass m can roll without slipping on a cylindrical surface and is attached to bar ABC with a length L and negligible mass. The bar is attached at point A to a spring with a constant k and can rotate freely about point B in the vertical plane. Knowing that end A is given a small displacement and released, determine the frequency of the resulting vibration in terms of m, L,K and g.arrow_forwardA 6-kg uniform cylinder can roll without sliding on a horizontal surface and is attached by a pin at point C to the 4-kg horizontal bar AB to the 4-kg horizontal bar k= 5 kN/m, as shown. Knowing that the bar is moved 12 mm to the right of the equilibrium position and released, determine (a) the period of vibration of the system, (b) the magnitude of the maximum velocity of bar AB.arrow_forwardA 6-kg uniform cylinder can roll without sliding on a horizontal surface and is attached by a pin at point C to the 4-kg horizontal bar AB. The bar is attached to two springs, each having a constant of k = 4.2 kN/m, as shown. The bar is moved 12 mm to the right of the equilibrium position and released. Determine the period of vibration of the system. (Round the final answer to three decimal places.) The period of vibration of the system is ___s.arrow_forward
- A 1300-kg sports car has a center of gravity G located a distance h above a line connecting the front and rear axles. The car is suspended from cables that are attached to the front and rear axles as shown. Knowing that the periods of oscillation are 4.04 s when L = 4 m and 3.54 s when L = 3 m, determine h and the centroidal radius of gyration.arrow_forwardThe 20-lb rod AB is attached to two 8-lb disks as shown. Knowing that the disks roll without sliding, determine the frequency of small oscillations of the system.arrow_forwardThe inner rim of an 85-lb flywheel is placed on a knife edge, and the period of its small oscillations is found to be 1.26 s. Determine the centroidal moment of inertia of the flywheel.arrow_forward
- A 4-lb uniform rod is supported by a pin at O and a spring at A and is connected to a dashpot at B. Determine (a) the differential equation of motion for small oscillations, (b ) the angle that the rod will form with the horizontal 5 s after end B has been pushed 0.9 in. down and released.arrow_forwardTwo 40-g weights are attached at A and B to the rim of a 1.5-kg uniform disk of radius r = 100 mm. Determine the frequency of small oscillations when β = 60°.arrow_forwardPlease Answer this Problem. Thanks!arrow_forward
- The 8-kg uniform bar AB is hinged at C and is attached at and A to a spring of constant==k = 500 N/m. If end A is given a small displacement and released, determine (a) the frequency of small oscillations, (b ) the smallest value of the spring constant k for which oscillations will occur.arrow_forwardAn 800-g rod AB is bolted to a 1.2-kg disk. A spring of constant k = 12 N/m is attached to the center of the disk at A and to the wall at C . Knowing that the disk rolls without sliding, determine the period of small oscillations of the system.arrow_forward4- The block is supported by the spring arrangement as shown. The block is moved vertically downward from its equilibrium iggila position and released. Knowing that the amplitude of the resulting motion is 45 mm, determine the natural period and the frequency of the motion. Also, find the maximum velocity and the maximum acceleration of the block for each case of the following. 16 kN/m 10 ib/in. 16 kN/m 20 lb/in. : 25 b/in. 35 kg -16KN/m 16 lb/in. 12 b/in. 20 lb/in. 8 kN/m kN/m akg (a) (b) (c) (d)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 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