Vector Mechanics for Engineers: Statics and Dynamics
11th Edition
ISBN: 9780073398242
Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek, Phillip J. Cornwell, Brian Self
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 18.2, Problem 18.75P
The assembly shown weighs 12 lb and consists of 4 thin 16-in.- diameter semicircular aluminum plates welded to a light 40-in.-long shaft AB. The assembly is at rest (ω = 0) at time t = 0 when a couple M0 is applied to it as shown, causing the assembly to complete one full revolution in 2 s. Determine (a) the couple M0, (b) the dynamic reactions at A and B at t = 0.
Fig. P18.75
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A ring of mass m =1 kg and radius R = 1m is attached to a vertical shaft by means of a
frictionless pin. Coordinates xyz are fixed to the ring as shown and the frictionless pin at A is
aligned with the x-axis. The vertical shaft precesses about the Z-axis with constant angular
velocity 2 = 1 rad/s.
(a) At a particular moment when 0 = 30° and = 4 rad/s, find the value of Ö . This comes from
a sum of the moments about the x-axis. Do not neglect gravity.
(b) Find the torque or moment necessary that must be applied about the vertical shaft in order to
keep it turning at a constant rate of N = 1 rad/s.
Ring
R
XG
A
1
Ixx = lyy =mR?
G
Iz = mR?
A uniform disk of mass m = 4 kg and radius r = 150 mm is supported by a belt ABCD that is bolted to the disk at B and C. If the belt suddenly breaks at a point located between A and B, draw the FBD and KD for the disk immediately after the break.
In the mechanism illustrated in the figure
opposite, each of the two bars AB and BC has a
mass of 10 kg. A constant torque of M = 100
N*m is applied to bar AB around point A. Both
bars are initially at rest at the position shown.
Neglect the size of the small roller at point C.
a) Prove that the bar BC is in translational
motion at the instant shown.
b) Determine the horizontal and vertical reaction
forces at point B and the vertical reaction force
at point C.
Answers:
b) Bx = [83.34 N →]; By = [17.8 N 1] et Rc = [80.3 N ↑]
0.9 m
B
M
1.2 m
C
Chapter 18 Solutions
Vector Mechanics for Engineers: Statics and Dynamics
Ch. 18.1 - A thin, homogeneous disk of mass m and radius r...Ch. 18.1 - Prob. 18.2PCh. 18.1 - 18.3 Two uniform rods AB and CE, each of weight 3...Ch. 18.1 - A homogeneous disk of weight W = 6 lb rotates at...Ch. 18.1 - Prob. 18.5PCh. 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 - Prob. 18.11P
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 - Prob. 18.43PCh. 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 - Prob. 18.57PCh. 18.2 - Prob. 18.58PCh. 18.2 - Prob. 18.59PCh. 18.2 - Determine the rate of change HG of the angular...Ch. 18.2 - 18.61 Determine the rate of change of the angular...Ch. 18.2 - Prob. 18.62PCh. 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 - Prob. 18.85PCh. 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 - Prob. 18.118PCh. 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 - Prob. 18.157RPCh. 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 mechanism shown consists of a crank (bar AB), a connecting rod (bar BC) and the piston C that slides on the smooth surface (without friction). The combustion of gasoline produces a force P on the piston and this is kept in equilibrium with the moment M applied in A. The length of the crank is 116 mm, the length of the connecting rod is 183 mm, the force P is 710 N and the angle theta is 0.56 radians. Determine the value of M in Nm.arrow_forwardEach arm of a Proell governor is 240 mm long and each 240 h = 190 rotating ball has a mass of 3 kg. The central load acting on the sleeve is 30 kg. The pivots of all the arms are 30 mm from the axis of rotation. The vertical height of the T. Tcos e governor is 190 mm. The extension links of the lower arms are vertical and the governor speed is 180 rpm when the sleeve is in the mid-position. Determine the lengths of the extension links (e) and tension in the upper 3 kg 240 B arms (T). 30 30 kgarrow_forward4. A uniform disc of mass m = 3 kg and radius R= 0.5 may roll without slip on the 30 degree incline shown. An elastic spring of stiffness k= 100 newtons/meter is connected to the center C of the disc. Initially, the disc is held in place in the position shown, with the spring neither stretched nor compressed and with the disc at rest. At t = 0 the disc is released and is subjected to a constant force of Fo = 30 newtons along the incline. Determine the maximum speed achieved by the disc center C as the disc moves up the incline. For gravity use g = 10 m/sec². (note: initially the constant force Fo will be greater than the forces exerted by the spring and by gravity, and the disc will accelerate up the incline; but there will come a distance x along the incline after which the spring force + gravity will overtake the force Fo, and the disc will then decelerate). gravity Fo= 30 N 30° no frictionarrow_forward
- The parallelogram linkage shown moves in the vertical plane with the uniform 9.3-kg bar EF attached to the plate at E by a pin which is welded both to the plate and to the bar. A torque (not shown) is applied to link AB through its lower pin to drive the links in a clockwise direction. When e reaches 51°, the links have an angular acceleration and an angular velocity of 7.0 rad/s² and 2.3 rad/s, respectively. For this instant calculate the magnitudes of the force F and torque M supported by the pin at E. Welded 1435 mm pin F 995 995 mm mm B D Horizontal Answers: F = i N M = i N•marrow_forwardProblem 4. A thin, semi-circular ring of mass m and radius R is pinned to ground at point O. The bar is released from rest in the position shown. Note that a = 2R, IG = mR² - ma² (a) Find the mass moment of inertia of the body about point O (b) Find the angular acceleration of the ring when released (c) Find the reaction forces on the ring at point O Ans: (b) a=0.5(g/R); (c) Ox = (mga)/(2R), Oy = mg/2 6.0 g G a -R-arrow_forwardA 20kg slender rod AB is pinned to a roller at A that slides freely along the slot as shown in the figure below. The rod is released from the rest at an angle of 30. At the same time, a couple moment of M = 5 N.m in clockwise direction is applied at its centre of gravity. If immediately after the release the acceleration of the roller at A is 43m/s, determine the reaction forces at the pin connection at Point A.arrow_forward
- Part A The 21-kg roll of paper has a radius of gyration kA = 90 mm about an axis passing through point A. It is pin supported at both ends by two brackets AB. The roll rests against a wall for which the coefficient of kinetic friction is u = 0.2. Neglect the mass of paper that is removed. (Figure 1) Determine the magnitude of the constant vertical force F that must be applied to the roll to pull off 1 m of paper in t = 3 s starting from rest. Express your answer to three significant figures and include the appropriate units. TH HẢ ? F = Value Units Submit Request Answer Provide Feedback Figure < 1 of 1 300 mm 125 mmarrow_forwardThe 544g collar is free to slide on the smooth rod OA. The rod rotates about pin O at constant angular velocity, é. a =en + še, = a = RÔ?e, + RÖe, for a circular path, R = radius 2.1 Use N-T coordinates, draw a FBD and a kinetic diagram to determine the minimum value of é for which the collar will maintain contact with the stop at A throughout the rotation. 2.2 Would friction between the collar and the rod affect your result in 2.1?arrow_forwardA vertical open-belt drive connects two pullets A and B the centres of which are 4 m a part. The belt has a mass of 1.15kg/m. Pulley A is 1m diameter, has radius of gyration of 420mm and a mass of 25kg. Pulley B is 0.5m diameter has radius of gyration of 225mm, and a mass of 18kg. when at rest the tension in the belt is 700N. Assuming that the belt obeys Hooke's law, If power of 1.5kW is being transmitted, and the speed of A being 180r.p.m. Neglect belt stretch over the pulleys. Determine: 1. The tension in the two portion of the belt between the pulleys and, 2. The kinetic energy of the belt and pulleys under this conditions.arrow_forward
- The sheet-metal component shown is of uniform thickness and has a mass of 600 g. It is attached to a light axle supported by bearings at A and B located 150 mm apart. The component is at rest when it is subjected to a couple M0 as shown. If the resulting angular acceleration is a = (12 rad/s2)k, determine (a) the couple M0(b)the dynamic reactions A and B immediately after the couple has been applied.arrow_forwardTwo uniform disks A and B, each having a mass of 4k, are connected by a 3kg rod CD, as shown in the figure. A counterclockwise torque M of 4 N*m is applied to disk A. Knowing that the discs roll without slipping, determine the horizontal component of the force that pin D exerts on disc B. The answer is Dx= 8.66N to the leftarrow_forwardAn aeroplane runs at 600 km/h the rotor of the engine weighs 4000 N with radius of gyration of 1 metre. The speed of rotor is 3000 r.p.m in anticlockwise direction when seen from rear side of the aeroplane. If the plane takes a loop upwards in a curve of 100 metres radius, find, (1)Gyroscopic couple developed and (ii) Effect of reaction gyroscopic couple developed on the body of aeroplane.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
Dynamics - Lesson 1: Introduction and Constant Acceleration Equations; Author: Jeff Hanson;https://www.youtube.com/watch?v=7aMiZ3b0Ieg;License: Standard YouTube License, CC-BY