
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
Textbook Question
Chapter 16.1, Problem 16.41P
Disk A has a mass of 6 kg and an initial angular velocity of 360 rpm clockwise; disk B has a mass of 3 kg and is initially at rest. The disks are brought together by applying a horizontal force of magnitude 20 N to the axle of disk A. Knowing that
Expert Solution & Answer

Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A long (into the page) duct with three walls is shown in the figure below. A constant rate
of energy (q = 5000 W) is supplied to the backside of the bottom wall. All this power leaves
surface 1 as radiative heat flow into the duct (i.e., participates in radiative exchange with
surfaces 2 and 3). The backside of Surface 2 is perfectly insulated. The table below lists
geometric and radiative properties of each surface.
Calculate T3-
2
Surface
T [K]
ε
AiFij, [m²]
1
700
1
A1F12
= 0.18
2
3
1
A2F23 = 0.86
1
A3 F31 = 0.36
Shaft 1 is the motor shaft and rotates at 1160 rpm. Calculate the transmission ratio and the angular velocity of output shaft 6.
Na=18Nb=34Nc=20Nd=62Ne=30Nf=60Ng=2 (worm gear)Nh=40Nı=16Nj=88
The power transmission system shown in the figure includes a helical and a bevel gear. The shaft is supported by two bearings and rotates at 600 rpm. The load on the bevel gear is -0.5Pi - 0.41Pj + 0.44Pk. The axial load on the shaft is carried by the bearing on the left. For a lifespan of 36,000 hours and 98% reliability, select two identical single-row tapered roller bearings.
Chapter 16 Solutions
Vector Mechanics for Engineers: Dynamics
Ch. 16.1 - Two pendulums, A and B, with the masses and...Ch. 16.1 - Two pendulums, A and B, with the masses and...Ch. 16.1 - Two solid cylinders, A and B, have the same mass m...Ch. 16.1 - A 6-ft board is placed in a truck with one end...Ch. 16.1 - Prob. 16.F2PCh. 16.1 - Two uniform disks and two cylinders are assembled...Ch. 16.1 - Prob. 16.F4PCh. 16.1 - A 60-Ib uniform thin panel is placed in a truck...Ch. 16.1 - A 60-lb uniform thin panel is placed in a truck...Ch. 16.1 - Knowing that the coefficient of static friction...
Ch. 16.1 - The motion of the 2.5-kg rod AB is guided by two...Ch. 16.1 - A uniform rod BC of mass 4 kg is connected to a...Ch. 16.1 - A 2000-kg truck is being used to lift a 400-kg...Ch. 16.1 - The support bracket shown is used to transport a...Ch. 16.1 - Prob. 16.8PCh. 16.1 - A 20-kg cabinet is mounted on casters that allow...Ch. 16.1 - Prob. 16.10PCh. 16.1 - Prob. 16.11PCh. 16.1 - A 40-kg vase has a 200-mm-diameter base and is...Ch. 16.1 - Prob. 16.13PCh. 16.1 - Bars AB and BE, each with a mass of 4 kg, are...Ch. 16.1 - At the instant shown, the tensions in the vertical...Ch. 16.1 - Three bars, each of mass 3 kg, are welded together...Ch. 16.1 - Prob. 16.17PCh. 16.1 - A prototype rotating bicycle rack is designed to...Ch. 16.1 - Prob. 16.19PCh. 16.1 - The coefficients of friction between the 30-lb...Ch. 16.1 - Prob. 16.21PCh. 16.1 - Prob. 16.22PCh. 16.1 - Prob. 16.23PCh. 16.1 - For a rigid body in centroidal rotation, show that...Ch. 16.1 - Prob. 16.25PCh. 16.1 - Prob. 16.26PCh. 16.1 - The 8-in.-radius brake drum is attached to a...Ch. 16.1 - Prob. 16.28PCh. 16.1 - The 100-mm-radius brake drum is attached to a...Ch. 16.1 - The 180-mm-radius disk is at rest when it is...Ch. 16.1 - Solve Prob. 16.30, assuming that the direction of...Ch. 16.1 - In order to determine the mass moment of inertia...Ch. 16.1 - Prob. 16.33PCh. 16.1 - Each of the double pulleys shown has a mass moment...Ch. 16.1 - Each of the gears A and B has a mass of 9 kg and...Ch. 16.1 - Prob. 16.36PCh. 16.1 - Gear A weighs 1 lb and has a radius of gyration of...Ch. 16.1 - The 25-lb double pulley shown is at rest and in...Ch. 16.1 - A belt of negligible mass passes between cylinders...Ch. 16.1 - Solve Prob. 16.39 for P=2.00lb .Ch. 16.1 - Disk A has a mass of 6 kg and an initial angular...Ch. 16.1 - Prob. 16.42PCh. 16.1 - Prob. 16.43PCh. 16.1 - Disk B is at rest when it is brought into contact...Ch. 16.1 - Cylinder A has an initial angular velocity of 720...Ch. 16.1 - Prob. 16.46PCh. 16.1 - Prob. 16.47PCh. 16.1 - A uniform slender rod AB rests on a frictionless...Ch. 16.1 - (a) In Prob. 16.48, determine the point of the rod...Ch. 16.1 - A force P with a magnitude of 3 N is applied to a...Ch. 16.1 - Prob. 16.51PCh. 16.1 - A 250-lb satellite has a radius of gyration of 24...Ch. 16.1 - Prob. 16.53PCh. 16.1 - A uniform semicircular plate with a mass of 6 kg...Ch. 16.1 - Prob. 16.55PCh. 16.1 - Prob. 16.56PCh. 16.1 - The 12-lb uniform disk shown has a radius of r=3.2...Ch. 16.1 - Prob. 16.58PCh. 16.1 - Prob. 16.59PCh. 16.1 - A 15-ft beam weighing 500 Ib is lowered by mean of...Ch. 16.1 - Prob. 16.61PCh. 16.1 - Prob. 16.62PCh. 16.1 - Prob. 16.63PCh. 16.1 - A beam AB with a mass m and of uniform...Ch. 16.1 - Prob. 16.65PCh. 16.1 - Prob. 16.66PCh. 16.1 - Prob. 16.67PCh. 16.1 - Prob. 16.68PCh. 16.1 - Prob. 16.69PCh. 16.1 - Solve Prob. 16.69, assuming that the sphere is...Ch. 16.1 - A bowler projects an 8-in.-diameter ball weighing...Ch. 16.1 - Solve Prob. 16.71, assuming that the bowler...Ch. 16.1 - A uniform sphere of radius r and mass m is placed...Ch. 16.1 - A sphere of radius r and mass m has a linear...Ch. 16.2 - A cord is attached to a spool when a force P is...Ch. 16.2 - A cord is attached to a spool when a force P is...Ch. 16.2 - A front-wheel-drive car starts from rest and...Ch. 16.2 - A front-wheel-drive car starts from rest and...Ch. 16.2 - Prob. 16.F5PCh. 16.2 - Prob. 16.F6PCh. 16.2 - Prob. 16.F7PCh. 16.2 - Prob. 16.F8PCh. 16.2 - Show that the couple I of Fig. 16.15 can be...Ch. 16.2 - A uniform slender rod of length L=900 mm and mass...Ch. 16.2 - Prob. 16.77PCh. 16.2 - A uniform slender rod of length L=36 in. and...Ch. 16.2 - Prob. 16.79PCh. 16.2 - Prob. 16.80PCh. 16.2 - Prob. 16.81PCh. 16.2 - Prob. 16.82PCh. 16.2 - Prob. 16.83PCh. 16.2 - A uniform rod of length L and mass m is supported...Ch. 16.2 - Prob. 16.85PCh. 16.2 - Prob. 16.86PCh. 16.2 - A 1.5-kg slender rod is welded to a 5-kg uniform...Ch. 16.2 - Two identical 4-lb slender rods AB and BC are...Ch. 16.2 - Prob. 16.89PCh. 16.2 - Prob. 16.90PCh. 16.2 - Prob. 16.91PCh. 16.2 - Prob. 16.92PCh. 16.2 - Prob. 16.93PCh. 16.2 - Prob. 16.94PCh. 16.2 - A homogeneous sphere S, a uniform cylinder C, and...Ch. 16.2 - Prob. 16.96PCh. 16.2 - Prob. 16.97PCh. 16.2 - Prob. 16.98PCh. 16.2 - A drum of 60-mm radius is attached to a disk of...Ch. 16.2 - Prob. 16.100PCh. 16.2 - Prob. 16.101PCh. 16.2 - A drum of 4-in. radius is attached to a disk of...Ch. 16.2 - Prob. 16.103PCh. 16.2 - Prob. 16.104PCh. 16.2 - A drum of 4-in. radius is attached to a disk of...Ch. 16.2 - A 12-in.-radius cylinder of weight 16 lb rests on...Ch. 16.2 - A 12-in.-radius cylinder of weight 16 lb rests on...Ch. 16.2 - Gear C has a mass of 5 kg and a centroidal radius...Ch. 16.2 - Two uniform disks A and B, each with a mass of 2...Ch. 16.2 - Prob. 16.110PCh. 16.2 - Prob. 16.111PCh. 16.2 - Prob. 16.112PCh. 16.2 - Prob. 16.113PCh. 16.2 - A small clamp of mass mBis attached at B to a hoop...Ch. 16.2 - Prob. 16.115PCh. 16.2 - A 4-lb bar is attached to a 10-lb uniform cylinder...Ch. 16.2 - The uniform rod AB with a mass m and a length of...Ch. 16.2 - Prob. 16.118PCh. 16.2 - A 40-lb ladder rests against a wall when the...Ch. 16.2 - A beam AB of length L and mass m is supported by...Ch. 16.2 - End A of the 6-kg uniform rod AB rests on the...Ch. 16.2 - Prob. 16.122PCh. 16.2 - Prob. 16.123PCh. 16.2 - The 4-kg uniform rod ABD is attached to the crank...Ch. 16.2 - The 3-lb uniform rod BD is connected to crank AB...Ch. 16.2 - Prob. 16.126PCh. 16.2 - Prob. 16.127PCh. 16.2 - Prob. 16.128PCh. 16.2 - Prob. 16.129PCh. 16.2 - Prob. 16.130PCh. 16.2 - Prob. 16.131PCh. 16.2 - A driver starts his car with the door on the...Ch. 16.2 - Prob. 16.133PCh. 16.2 - Prob. 16.134PCh. 16.2 - Prob. 16.135PCh. 16.2 - The 6-kg rod BC connects a 10-kg disk centered at...Ch. 16.2 - In the engine system shown, l=250 mm and b=100 mm....Ch. 16.2 - Solve Prob. 16.137 when =90 .Ch. 16.2 - The 4-lb uniform slender rod AB, the 8-lb uniform...Ch. 16.2 - Prob. 16.140PCh. 16.2 - Two rotating rods in the vertical plane are...Ch. 16.2 - Prob. 16.142PCh. 16.2 - Prob. 16.143PCh. 16.2 - Prob. 16.144PCh. 16.2 - Prob. 16.145PCh. 16.2 - Prob. 16.146PCh. 16.2 - Prob. 16.147PCh. 16.2 - Prob. 16.148PCh. 16.2 - Prob. 16.149PCh. 16.2 - Prob. 16.150PCh. 16.2 - (a) Determine the magnitude and the location of...Ch. 16.2 - Draw the shear and bending-moment diagrams for the...Ch. 16 - A cyclist is riding a bicycle at a speed of 20 mph...Ch. 16 - The forklift truck shown weighs 2250 Ib and used...Ch. 16 - The total mass of the Baja car and driver,...Ch. 16 - Prob. 16.156RPCh. 16 - Prob. 16.157RPCh. 16 - Prob. 16.158RPCh. 16 - A bar of mass m=5 kg is held as shown between four...Ch. 16 - A uniform plate of mass m is suspended in each of...Ch. 16 - Prob. 16.161RPCh. 16 - Prob. 16.162RPCh. 16 - Prob. 16.163RPCh. 16 - Prob. 16.164RP
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
- As shown in the figure, a shaft manufactured with a surface treatment will carry the belt-pulley system, which is loaded with continuous and non-impact loads (in the YZ plane at α = 30 degrees). Design a shaft with a 95% reliability rating, a 2.5 safety factor, and made of cold-drawn AISI 1045 material. The shaft has no discontinuities or radius.arrow_forwardAir is used as the working fluid in a simple ideal Brayton cycle that has a pressure ratio of 12, a compressor inlet temperature of 300 K, and a turbine inlet temperature of 1000 K. The properties of air at room temperature are cp=1.005 kJ/kg⋅K and k=1.4 . Determine the required mass flow rate of air for a net power output of 66 MW, assuming both the compressor and the turbine have an isentropic efficiency of 85 percent. The required mass flow rate of air is _________ kg/s.arrow_forwardF T = 450 Nm A ☑ 100 mm B 500 mm 1000 mm Şekil, 52 kN eksantrik yük taşıyan bir sonsuz mili göstermektedir. Mil radyal ve eksenel yük taşıyan rulmanlarla yataklanmıştır. Yük şekilde gösterildiği gibi somuna asılmış ve dönmeyi engellemektedir. Sürtünmeyi yenip yükü kaldırmak için uygulanan tork 450 Nm'dir. A ve B noktalarındaki gerilmeleri hesaplayınız. Milin, AISI 4140 540°C'DE temperlenmiş alaşımlı çelik olduğu bilindiğine göre maksimum kayma gerilmesi teorisine göre emniyetli olup olmadığını belirleyiniz. The figure shows a worm shaft carrying a 52 kN eccentric load. The shaft is supported by bearings that carry radial and axial loads. The load is suspended from the nut, as shown, preventing rotation. The torque applied to overcome friction and lift the load is 450 Nm. Calculate the stresses at points A and B. Knowing that the shaft is made of AISI 4140 alloy steel tempered at 540˚C, determine whether it is safe according to the maximum shear stress theory. 400 mmarrow_forward
- Stress, ksi 220 200 180 160 140 120 100 80 Question P: Data for an extension spring is shown in the table below. Use only this table for this question! Also shown is an abridged version of Table 18-2 and figure 18 Spring Material ASTM A228 Music wire Max Operating Load: Fo= 21 Type of Service = Average Estimated Wahl Factor: K = 1.200 Required Mean Diameter: D = 0.550 Design Stress in Wire: Td 90,000 psi TABLE 18-2 Wire Gages and Diameters for Springs Gage no. U.S. steel wire gage¹ (in) Music wire gage² (in) 0.6 26 0.0181 0.063 27 0.0173 0.067 28 00162 0.071 29 00150 0.075 30 00140 0.080 31 0.0132 0.085 22 0.0128 0.090 33 00118 0.095 34 0.0104 0.100 35 0.0095 0.106 36 0.0090 Wire diameter, mm Compression and extension springs, Music Wire, ASTM A228 O'S 5.4 5.8 6.2 0.112 1515 1380 Light service 1240 1100 Average service 965 Severe service 825 690 Wire diameter, in OLIO 0.190 0120 0.250 550 Stress, MPa FIGURE 18-9 Design shear stresses for ASTM A228 steel wire (music wire) What is the…arrow_forwardEndurance limit,, (psi) 100 000 80 000 60 000 Ground 40 000 20 000 As-rolled 0 50 60 70 80 90 100 110 120 Polished Machined or cold drawn As-forged 130 140 150 160 17 Tensile strength, s, (ksi) (a) U.S. customary units What is the minimum shaft diameter of D3 in inches? (Type in a three-decimal number). Note: We want to know the diameter D3, of the shaft, not the diameter at the base of a ring groove, profile keyseat or any other geometric feature on the shaft. Answer: x (3.008)arrow_forwardQuestion G: The machined shaft shown in the diagram below has the following components on it: (A) Sheave (B) Bearing (C) Sprocket (D) Bearing (E) Spur Gear Diameter D3 is located underneath Bearing B. Only the sheave at point A, the sprocket at point C and the spur gear at point E are held in place with rings. Diameter Dy is located underneath Bearing B. Only the sheave at point A, the sprocket at point C and the spur gear at point E are held in place with rings. PPENDIX 3 Design Properties of Carbon and Alloy Steels Material designation (SAE number) Condition Tensile strength Yield strength (ksi) (MPa) (MPa) Bearing Bearing 1020 Hot-rolled 55 379 207 V-belt sheave 6.00 in PD DD 1020 Cold-drawn 61 420 352 Spur gear Chain sprocket 10.00 in PD 20 FD 12.00 in PD 1020 Annealed 60 414 296 (a) Side view of shaft 10401 Hot-rolled 72 496 290 Belt drive to conveyor 1040 Cold-drawn 80 552 1040 OQT 1300 88 607 1040 OQT 400 113 779 1050 Hot-rolled 90 620 leput from water turbine Gear E drives Q to…arrow_forward
- 220 200 180 160 140 120 Stress, ksi 100 80 Question O: Data for an extension spring is shown in the table below. Use only this table for this question! Also shown is an abridged version of Table 18-2 and figure 18. Spring Material ASTM A228 Music wire Max Operating Load: F₁ = 57 Type of Service Average Estimated Wahl Factor: K= 1.200 Required Mean Diameter: D = 0.850 Design Stress in Wire: 1 = 115,000 psi TABLE 18-2 Wire Gages and Diameters for Springs 0.0181 27 0.0175 Gage no. U.S. steel wire gage (in) Music wire gage² (in) 0063 0.067 28 0.0162 0.071 29 0.0150 0.075 30 00140 0.080 31 0.0132 0085 32 00128 0.090 33 00118 0096 34 0.0104 0.100 35 0.0095 36 0.0090 1.8 Wire diameter, mm 0.106 0.112 5.4 5.8 6.2 1515 Compression and extension springs, Music Wire, ASTM A228. 1380 Light service 1240 Average service 1100 965 Severe service 825 690 P10100 OSO 0 0.150 0.170 061'0 0.210 0.230 F 0.250 550 Stress, MPa Wire diameter, in FIGURE 18-9 Design shear stresses for ASTM A228 steel wire (music…arrow_forwardPlease see attachment.arrow_forwardPlease see attachment.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE LAutomotive Technology: A Systems Approach (MindTa...Mechanical EngineeringISBN:9781133612315Author:Jack Erjavec, Rob ThompsonPublisher:Cengage LearningPrinciples of Heat Transfer (Activate Learning wi...Mechanical EngineeringISBN:9781305387102Author:Kreith, Frank; Manglik, Raj M.Publisher:Cengage Learning

International Edition---engineering Mechanics: St...
Mechanical Engineering
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:CENGAGE L

Automotive Technology: A Systems Approach (MindTa...
Mechanical Engineering
ISBN:9781133612315
Author:Jack Erjavec, Rob Thompson
Publisher:Cengage Learning

Principles of Heat Transfer (Activate Learning wi...
Mechanical Engineering
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Cengage Learning
Dynamics - Lesson 1: Introduction and Constant Acceleration Equations; Author: Jeff Hanson;https://www.youtube.com/watch?v=7aMiZ3b0Ieg;License: Standard YouTube License, CC-BY