VEC MECH 180-DAT EBOOK ACCESS(STAT+DYNA)
12th Edition
ISBN: 9781260916942
Author: BEER
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 18.2, Problem 18.66P
To determine
The dynamic reactions at A (A) and B (B).
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
125 mm
B
The blade of an oscillating fan and the rotor of its motor shown have a total
weight of 1 kg and a combined radius of gyration (for all axes) of 100 mm. They are
supported by bearings at A and B, 125 mm apart, and rotate at the rate o = 2000 rpm.
Determine;
a) the dynamic reactions at A and B when the motor casing has an angular velocity m2 =
(0.5 j+1.5 k) rad/s.
b) the static reactions at A and B when the fan has stopped.
Note: Assume that the center of mass of the entire system is between the middle of the
bearings of A and B, that is 62.5 mm away from bearing A.
A thin homogeneous triangular plate of weight 10 pounds is welded to a
light vertical axle supported by bearings at A and B. Knowing that the
plate rotates at the constant rate o = 8 rad/s, determine the dynamic
В
reactions at A and B.
24 in.
12 in.
4.
The link EF of mass 2 kg is welded at point A to a link ABC of mass 2 kg, which rotates about a pivot
B. A spring of constant k =300 N/m and of un-stretched length 150 mm is attached to the link ABC as shown.
Knowing that in the position shown the assembly has an angular velocity of 10 rad/s clockwise,
(a) Determine the angular velocity when the assembly has rotated 90° clockwise,
(b) Find the corresponding angular acceleration of part (a), and
(c) Find the corresponding reaction force at point B.
(For (b) and (c), set up all the required equations with a Free-Body-Diagram 150 mm
and a Kinetic Diagram)
150 mm, 150 mm,
E
150 mm
360 mm
Chapter 18 Solutions
VEC MECH 180-DAT EBOOK ACCESS(STAT+DYNA)
Ch. 18.1 - A thin, homogeneous disk of mass m and radius r...Ch. 18.1 - Prob. 18.2PCh. 18.1 - Prob. 18.3PCh. 18.1 - A homogeneous disk of weight W = 6 lb rotates at...Ch. 18.1 - A homogeneous disk of mass m = 8 kg rotates at the...Ch. 18.1 - A solid rectangular parallelepiped of mass m has a...Ch. 18.1 - Prob. 18.8PCh. 18.1 - Determine the angular momentum HD of the disk of...Ch. 18.1 - Prob. 18.10PCh. 18.1 - Determine the angular momentum HO of the disk of...
Ch. 18.1 - Prob. 18.12PCh. 18.1 - Prob. 18.13PCh. 18.1 - Two L-shaped arms each have a mass of 5 kg and are...Ch. 18.1 - For the assembly of Prob. 18.15, determine (a) the...Ch. 18.1 - Prob. 18.17PCh. 18.1 - Determine the angular momentum of the shaft of...Ch. 18.1 - Prob. 18.20PCh. 18.1 - Prob. 18.21PCh. 18.1 - Prob. 18.22PCh. 18.1 - Prob. 18.23PCh. 18.1 - Prob. 18.24PCh. 18.1 - Prob. 18.25PCh. 18.1 - Prob. 18.26PCh. 18.1 - Prob. 18.27PCh. 18.1 - Prob. 18.28PCh. 18.1 - A circular plate of mass m is falling with a...Ch. 18.1 - Prob. 18.30PCh. 18.1 - Prob. 18.31PCh. 18.1 - Determine the impulse exerted on the plate of...Ch. 18.1 - The coordinate axes shown represent the principal...Ch. 18.1 - Prob. 18.34PCh. 18.1 - Prob. 18.37PCh. 18.1 - Prob. 18.38PCh. 18.1 - Prob. 18.39PCh. 18.1 - Prob. 18.40PCh. 18.1 - Prob. 18.41PCh. 18.1 - Prob. 18.42PCh. 18.1 - Determine the kinetic energy of the disk of Prob....Ch. 18.1 - Determine the kinetic energy of the solid...Ch. 18.1 - Prob. 18.45PCh. 18.1 - Determine the kinetic energy of the disk of Prob....Ch. 18.1 - Determine the kinetic energy of the assembly of...Ch. 18.1 - Determine the kinetic energy of the shaft of Prob....Ch. 18.1 - Prob. 18.49PCh. 18.1 - Prob. 18.50PCh. 18.1 - Determine the kinetic energy lost when edge C of...Ch. 18.1 - Prob. 18.52PCh. 18.1 - Prob. 18.53PCh. 18.1 - Determine the kinetic energy of the space probe of...Ch. 18.2 - Determine the rate of change HG of the angular...Ch. 18.2 - Prob. 18.56PCh. 18.2 - Determine the rate of change HG of the angular...Ch. 18.2 - Prob. 18.58PCh. 18.2 - Prob. 18.59PCh. 18.2 - Determine the rate of change HG of the angular...Ch. 18.2 - Prob. 18.61PCh. 18.2 - Determine the rate of change HD of the angular...Ch. 18.2 - Prob. 18.63PCh. 18.2 - Prob. 18.64PCh. 18.2 - A slender, uniform rod AB of mass m and a vertical...Ch. 18.2 - Prob. 18.66PCh. 18.2 - The assembly shown consists of pieces of sheet...Ch. 18.2 - The 8-kg shaft shown has a uniform cross-section....Ch. 18.2 - Prob. 18.69PCh. 18.2 - Prob. 18.70PCh. 18.2 - Prob. 18.71PCh. 18.2 - Knowing that the plate of Prob. 18.66 is initially...Ch. 18.2 - Prob. 18.73PCh. 18.2 - The shaft of Prob. 18.68 is initially at rest ( =...Ch. 18.2 - The assembly shown weighs 12 lb and consists of 4...Ch. 18.2 - Prob. 18.76PCh. 18.2 - Prob. 18.79PCh. 18.2 - Prob. 18.80PCh. 18.2 - Prob. 18.81PCh. 18.2 - Prob. 18.82PCh. 18.2 - The uniform, thin 5-lb disk spins at a constant...Ch. 18.2 - The essential structure of a certain type of...Ch. 18.2 - A model of a type of crusher is shown. A disk of...Ch. 18.2 - Prob. 18.86PCh. 18.2 - Prob. 18.87PCh. 18.2 - The 2-lb gear A is constrained to roll on the...Ch. 18.2 - Prob. 18.89PCh. 18.2 - Prob. 18.90PCh. 18.2 - 18.90 and 18.91The slender rod AB is attached by a...Ch. 18.2 - The essential structure of a certain type of...Ch. 18.2 - The 10-oz disk shown spins at the rate 1 = 750...Ch. 18.2 - Prob. 18.94PCh. 18.2 - Prob. 18.95PCh. 18.2 - Two disks each have a mass of 5 kg and a radius of...Ch. 18.2 - Prob. 18.97PCh. 18.2 - Prob. 18.98PCh. 18.2 - A thin disk of mass m = 4 kg rotates with an...Ch. 18.2 - Prob. 18.101PCh. 18.2 - Prob. 18.102PCh. 18.2 - A 2.5-kg homogeneous disk of radius 80 mm rotates...Ch. 18.2 - A 2.5-kg homogeneous disk of radius 80 mm rotates...Ch. 18.2 - For the disk of Prob. 18.99, determine (a) the...Ch. 18.3 - A uniform thin disk with a 6-in. diameter is...Ch. 18.3 - A uniform thin disk with a 6-in. diameter is...Ch. 18.3 - Prob. 18.109PCh. 18.3 - The top shown is supported at the fixed point O...Ch. 18.3 - Prob. 18.111PCh. 18.3 - Prob. 18.112PCh. 18.3 - Prob. 18.113PCh. 18.3 - A homogeneous cone with a height of h = 12 in. and...Ch. 18.3 - Prob. 18.115PCh. 18.3 - Prob. 18.116PCh. 18.3 - Prob. 18.117PCh. 18.3 - The propeller of an air boat rotates at 1800 rpm....Ch. 18.3 - Prob. 18.119PCh. 18.3 - Prob. 18.120PCh. 18.3 - Prob. 18.121PCh. 18.3 - Prob. 18.122PCh. 18.3 - Prob. 18.123PCh. 18.3 - A coin is tossed into the air. It is observed to...Ch. 18.3 - Prob. 18.125PCh. 18.3 - Prob. 18.126PCh. 18.3 - Prob. 18.127PCh. 18.3 - Prob. 18.128PCh. 18.3 - Prob. 18.129PCh. 18.3 - Prob. 18.130PCh. 18.3 - Prob. 18.131PCh. 18.3 - Prob. 18.132PCh. 18.3 - Prob. 18.133PCh. 18.3 - Prob. 18.134PCh. 18.3 - Prob. 18.135PCh. 18.3 - A homogeneous disk with a radius of 9 in. is...Ch. 18.3 - The top shown is supported at the fixed point O....Ch. 18.3 - Prob. 18.138PCh. 18.3 - Prob. 18.139PCh. 18.3 - Prob. 18.140PCh. 18.3 - Prob. 18.141PCh. 18.3 - Prob. 18.142PCh. 18.3 - Consider a rigid body of arbitrary shape that is...Ch. 18.3 - Prob. 18.144PCh. 18.3 - Prob. 18.145PCh. 18 - Three 25-lb rotor disks are attached to a shaft...Ch. 18 - Prob. 18.148RPCh. 18 - Prob. 18.149RPCh. 18 - A uniform rod of mass m and length 5a is bent into...Ch. 18 - Prob. 18.151RPCh. 18 - Prob. 18.152RPCh. 18 - Prob. 18.153RPCh. 18 - Prob. 18.154RPCh. 18 - Prob. 18.155RPCh. 18 - The space capsule has no angular velocity when the...Ch. 18 - A homogeneous rectangular plate of mass m and...Ch. 18 - The essential features of the gyrocompass are...
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
- The 7-kg uniform slender bar BD is attached to bar AB and a wheel of negligible mass which rolls on a circular surface. Knowing that at the instant shown bar AB has an angular velocity of 6 rad/s and no angular acceleration, determine the reaction at Point D. B 0.75 m A 1,5 m 0.75 m The reaction at Point Dis 38.315 NA 60arrow_forwardThe flywheel of a punching machine has a mass of 300 kg and a radius of gyration of 600 mm. Each punching operation requires 2500 J of work. (a ) Knowing that the speed of the flywheel is 300 rpm just before a punching, determine the speed immediately after the punching. (b) If a constant 25-N.m couple is applied to the shaft of the flywheel, determine the number of revolutions executed before the speed is again 300 rpm.arrow_forwardA 255-lbf block is suspended from an inextensible cable which is wrapped around a drum of 1.75-ft radius rigidly attached to a flywheel. The drum and flywheel have a combined centroidal moment of inertia 12 lb . ft . s 2 . At the instant shown, the velocity of the block is unknown directed downward. Knowing that the bearing at A is poorly lubricated and that the bearing friction is equivalent to a couple M of magnitude 65 lb .ft, determine the velocity of the block before it has moved 3.5 ft downward if at S2 speed is 13.5ft/sarrow_forward
- The blade of an oscillating fan and the rotor of its motor shown have a total weight of 1 kg and a combined radius of gyration (for all axes) of 100 mm. They are supported by bearings at A and B, 125 mm apart, and rotate at the rate ω1 = 2000 rpm. Determine; a) the dynamic reactions at A and B when the motor casing has an angular velocity ω2 = (0.5 j+1.5 k) rad/s. b) the static reactions at A and B when the fan has stopped. Note: Assume that the center of mass of the entire system is between the middle of the bearings of A and B, that is 62.5 mm away from bearing A.arrow_forwardAn automobile wheel test rig consists of a uniform disk A, of mass mд = 5000 kg and radius rà = 1.5 m, that can rotate freely about its fixed center C and over which the wheel of an automobile is made to roll. A wheel B, whose center and center of mass coincide at D, is mounted on a shaft (not shown) that holds D fixed while it allows the wheel to rotate about D. The wheel has diameter d = 0.62 m, mass mß = 21.5 kg, and mass moment of inertia about its mass center /D = 44 kg.m². Both A and B are initially at rest when B is subject to a constant torque M that causes B to roll without slip on A. M BC B TA If M = 1200 N.m, use the angular impulse-momentum principle to determine how long it takes to reach conditions simulating a car speed of 100 km/h. The automobile wheel test rig takes 17.95 s to reach conditions simulating a car speed of 100 km/h.arrow_forwardFigure 2: Schematic for Question 2. A uniform slender rod of length L = 900 mm and mass m = 4 kg is suspended from a hinge at C. A horizontal force P of magnitude 75 N is applied at end B. Knowing that r = 225 mm, determine (a) the angular acceleration of the rod (b) the components of the reaction at C (c) the distance r for which the horizontal component of the reaction at C is zero (d) the corresponding angular acceleration of the rodarrow_forward
- A uniform square plate with side a= 300 mm is hinged at points A and B to a clevis that rotates with a constant angular velocity w about a vertical axis. Determine (a) the value of w for which the plate forms a constant angle β= 60° with the horizontal x axis, (b) the largest value of w for which the plate remains vertical (β= 90°).arrow_forwardAn automobile wheel test rig consists of a uniform disk A, of mass mà = 5000 kg and radius rà = 1.5 m, that can rotate freely about its fixed center C and over which the wheel of an automobile is made to roll. A wheel B, whose center and center of mass coincide at D, is mounted on a shaft (not shown) that holds D fixed while it allows the wheel to rotate about D. The wheel has diameter d = 0.62 m, mass mß = 21.5 kg, and mass moment of inertia about its mass center /D = 44 kg-m². Both A and B are initially at rest when B is subject to a constant torque M that causes B to roll without slip on A. M B d A If M = 1200 N·m, use the angular impulse-momentum principle to determine how long it takes to reach conditions simulating a car speed of 100 km/h. The automobile wheel test rig takes s to reach conditions simulating a car speed of 100 km/h.arrow_forward16.72 A uniform slender rod of length L = 36 in. and weight W = 10 lb hangs freely from a hinge at C. A horizontal force P of magnitude 15 lb is applied at end B. Knowing that F = 9 in., determine (a) the angular acceleration of the rod, (b) the components of the reaction at C. Fig. P16.72 B C С Parrow_forward
- The blade of a portable saw and the rotor of its motor have a total weight of 2.5 lb and a combined radius of gyration of 1.5 in. Knowing that the blade rotates as shown at the rate w1= 1500 rpm, determine the magnitude and direction of the couple M that a worker must exert on the handle of the saw to rotate it with a constant angular velocity w2= -(2.4 rad/s)j.arrow_forwardPROBLEM 4.1 The wheel of an automobile revolves at the rate of 700 rpm. How fast does it move in kilometre per hour, if the radius of its wheel is 250 mm. 6.09 kph 5.09 kph 1. c. 7.09 kph d. 8.09 kph а. b.arrow_forwardA 6000-lb flywheel requires 1500 revolutions to coast to rest from an angular velocity of 300 rpm. Knowing that the radius of gyration of the flywheel is 36 in. and I = m-k^2, determine the magnitude of the couple M due to kinetic friction in the bearings in Ib-ft.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
Dynamics - Lesson 1: Introduction and Constant Acceleration Equations; Author: Jeff Hanson;https://www.youtube.com/watch?v=7aMiZ3b0Ieg;License: Standard YouTube License, CC-BY