Vector Mechanics For Engineers
12th Edition
ISBN: 9781259977305
Author: BEER, Ferdinand P. (ferdinand Pierre), Johnston, E. Russell (elwood Russell), Cornwell, Phillip J., SELF, Brian P.
Publisher: Mcgraw-hill Education,
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 16.1, Problem 16.F1P
A 6-ft board is placed in a truck with one end resting against a block secured to the floor and the other leaning against a vertical partition. Draw the FBD and KD necessary to determine the maximum allowable acceleration of the truck if the board is to remain in the position shown.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
As shown in the diagram below, a 338 g uniform meter stick on an alien planet is supported horizontally by two vertical strings. The tension in the left string is 0.73 N.
Determine the alien planet's free fall acceleration & the tension in the right string.
SITUATION 2:
If the pulleys are weightless and frictionless, find the:
4. Acceleration of block B.
5. Acceleration of block A.,
6. The tension on the cable supporting block B.
7. The tension on the cable supporting block A.
200NB
30ON
(a) Draw the free body diagram for the problem
(b) Formulate the solution for the problem
(c) Determine the expression of the acceleration of a ball rolling down in an incline.
Note: The ball’s rolling action is due to the torque produced by thestatic friction
Chapter 16 Solutions
Vector Mechanics For Engineers
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 - Prob. 16.4PCh. 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 - A completely filled barrel and its contents have a...Ch. 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 - Prob. 16.18PCh. 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 - Prob. 16.24PCh. 16.1 - Prob. 16.25PCh. 16.1 - Prob. 16.26PCh. 16.1 - Prob. 16.27PCh. 16.1 - Solve Prob. 16.27, assuming that the initial...Ch. 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 - Prob. 16.35PCh. 16.1 - Solve Prob. 16.35, assuming that the couple M is...Ch. 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 - Prob. 16.48PCh. 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 - Prob. 16.60PCh. 16.1 - The 400-lb crate shown is lowered by means of two...Ch. 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 - Prob. 16.76PCh. 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 - Prob. 16.87PCh. 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 - Prob. 16.99PCh. 16.2 - A drum of 80-mm radius is attached to a disk of...Ch. 16.2 - Prob. 16.101PCh. 16.2 - Prob. 16.102PCh. 16.2 - Prob. 16.103PCh. 16.2 - Prob. 16.104PCh. 16.2 - Prob. 16.105PCh. 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 - Prob. 16.132PCh. 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 - Prob. 16.154RPCh. 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 - Two 3-kg uniform bars are connected to form the...Ch. 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
- A space station shaped like a giant wheel has a radius 98 m and a moment of inertia of 5.01 x 108 kg-m2. A crew of 150 lives on the rim, and the station is rotating so that the crew experiences an apparent acceleration of 1 g. When 100 people move to the center of the station for a union meeting, the angular speed changes. What acceleration is experienced by the managers remaining at the rim? Assume that the average mass of each inhabitant is 65.0 kg. m/s2arrow_forward2. The figure shows a system in a vertical plane. A block with mass m is in rest on top of the frictionless horizontal surface of the prism with mass M, at the most right-hand side of the surface. That prism itself is in rest on a frictionless inclined plane. The length of the side of the prism on which the block rests is d. a) What are the accelerations of the block m and of the prism M immediately after they are released from rest? What is at that instance the relative acceleration of the block m with respect to the prism M? b) How long does it take for the block to find itself at the other side of the horizontal surface of the prism, hence, at the most left-hand side of the horizontal surface? What are at that instance the velocities of block and prism? Data: m = 0.7 kg; M = 5 kg; d = 0.8 m 30° d 3 3 M 30%arrow_forwardb. The four arms of a porter governor is 250 mm long. The upper and lower arms are pivoted to links 40 mm and 50 mm respectively from the axis of rotation. Each ball has a mass of 5 kg and the sleeve mass is 50 kg. The force of friction on the sleeve of the mechanism is 40 N. Determine the range of speed of the governor for extreme radii of rotation of 125 mm and 150 mm. Consider the force diagrams attached.arrow_forward
- 1. (bold type indicates a vector) An object of mass m = 10 kg may rotate in a vertical plane about the fixed point P under the action of gravity. The distance d from the point P to the center of mass C is d = 0.5 m. The moment of inertia Ie about the center of mass C is unknown. The object starts at rest in the position shown and is then released. At the instant of release the acceleration of the center of mass is measured to be a, = (-5 m/sec²)j (i.e., downward). Use the given information to determine the moment of inertià I, about the center of mass. Use g = 10 m/sec?. gravity w go P (f ixed)arrow_forwardblock C mass = 99 kg block D mass = 66kg horizontal force (H) = 555N and is applied at block D. Angle = 32.779 degrees note: Ignore friction. Computations must follow D'Alembert's Principle or else the solution is null and void. And answers should be in Newtons or KiloNewtons 1.) Calculate the Normal Force of Contact between blocks D and C. 2.) Determine the Block D Acceleration 3.) Determine the Block C Accelerationarrow_forward3. The pulley assembly shown in the figure weighs 150 lb and has a centroidal radius of gyration of 2 ft. The blocks are attached to the assembly by cords wrapped around the pulleys. Determine the acceleration of each body and the tension in each cord. a. Identify the direction of motion in the problem. b. Set up the equations of motion that is required to solve the problem. c. Solve for the unknown variables by substituting the given in the equations of motion that has been set up previously. 2' 3' A B 100 Ib 200 Ibarrow_forward
- a. Each arm of a Porter governor is 200 mm long and is hinged at a distance of 40 mm from the axis of rotation. The mass of each ball is 1.5 kg and of the sleeve 25 kg. When the links are at 30° to the vertical, the sleeve begins to rise at 260 rpm. Assuming that the friction force is constant, find the maximum and minimum speeds of rotation when the inclination of the arms to the vertical is 45°. b. The four arms of a porter governor is 250 mm long. The upper and lower arms are pivoted to links 40 mm and 50 mm respectively from the axis of rotation. Each ball has a mass of 5 kg and the sleeve mass is 50 kg. The force of friction on the sleeve of the mechanism is 40 N. Determine the range of speed of the governor for extreme radii of rotation of 125 mm and 150 mm. Consider the force diagrams attached.arrow_forward3. In the diagram below, a force P of 750 N is applied to the 350 kg block. Find the acceleration of the block and the reaction forces at contact points A and B if the coefficient of kinetic friction between the block and surface is 0.15. 700 mm 700 mm 300 mm 300 mm 400 mm 500 mm'500 mmarrow_forwardThe figure below shows two blocks A and B connected by a massless rope that passes over a massless, frictionless pulley. Block A has mass 10 kg and is held stationary on a frictionless 40°. Block B has a mass 3.0 kg and hangs vertically from the other end of the rope. Block A is released and allowed to move along the incline. What is the acceleration of incline with 0 = block B? Frictionless, massless pulley A Barrow_forward
- Problem #5) A pulley having a moment of inertia of 0.191b-ft-s² is connected to two masses as shown. The masses A and B have linear acceleration of 1.85ft/s² upward and 1.11 ft/s² downward, respectively. Assuming no axle friction, determine (a) the tension forces TA and TB in the cables connecting the masses, and (b) the angular acceleration a of the pulley. 6 in. Include and present the Free Body Diagram and Inertial Response Diagram as part of the solving process. Hint #1: Hint #2: use mA = 0.1553slugs, and mB = 0.3106slugs treat each body separately B 10 lb 10 in. A 5 lbarrow_forwardProblem 1. A space-shuttle payload module weighs 100 lb when resting on the surface of the earth at a latitude of 45 north. For the surface-level value of the acceleration of gravity relative to a rotating earth, use g = 32.1740 ft /sec2 (9.80665 m /s2). For the absolute value relative to anonrot ating earth, use g = 32.234 ft /sec2(9.825m/s2). (b) (c) (a) Ah=200 mi R.arrow_forwardO. Calculate the minimum speed of a Proell governor, which has equal arms each 200 mm and are pivoted on the axis of rotation. The mass of each ball is 4 kg and the central mass on the sleeve is 20 kg. The extension arms of the lower links are each 60 mm long and parallel to the axis when the minimum radius of the ball is 200 mm.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