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 16.1, Problem 16.20P
The coefficients of friction between the 30-lb block and the 5-lb platform BD are μs = 0.50 and μk = 0.40. Determine the accelerations of the block and of the platform immediately after wire AB has been cut.
Fig. P16.20
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Block A of Fig.(3) weighs 100N and block B weighs 300N. The coefficient of static
friction between the blocks is 0.5, and the coefficient of kinetic friction between block
B and the plane is 0.25. Determine the max. value of (P) that may be applied without
causing block A to slide on block B when block B is moving to the left.
(The gravitational acceleration is 10 m/s?)
P.
AT00
24
300
Fig.(3)
m.ax
Good Luck
Pt N
ray
2-2
B.
3
Sample Problem 16.3
150 mm
30
B
F
200 mm
30%
D
500 mm
The thin plate of mass 8 kg is held in
place as shown.
Neglecting the mass of the links,
determine immediately after the wire
has been cut (a) the acceleration of the
plate, and (b) the force in each link.
Chapter 16 Solutions
Vector Mechanics for Engineers: Statics and 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 - Prob. 16.1FBPCh. 16.1 - Prob. 16.2FBPCh. 16.1 - Prob. 16.3FBPCh. 16.1 - The 400-lb crate shown is lowered by means of two...Ch. 16.1 - A 60-lb 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 - 16.3 Knowing that the coefficient of static...
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 - Solve Prob. 16.9, assuming that the casters are...Ch. 16.1 - 16.11 A completely filled barrel and its contents...Ch. 16.1 - Prob. 16.12PCh. 16.1 - The retractable shelf shown is supported by two...Ch. 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 - Members ACE and DCB are each 600 mm long and are...Ch. 16.1 - 16.18 A prototype rotating bicycle rack is...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 - For a rigid body in translation, show that the...Ch. 16.1 - For a rigid body in centroidal rotation, show that...Ch. 16.1 - It takes 10 min for a 2.4-Mg flywheel to coast to...Ch. 16.1 - The rotor of an electric motor has an angular...Ch. 16.1 - Prob. 16.27PCh. 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 - The flywheel shown has a radius of 20 in., a...Ch. 16.1 - Each of the double pulleys shown has a mass moment...Ch. 16.1 - Prob. 16.35PCh. 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 - Prob. 16.40PCh. 16.1 - Disk A has a mass of 6 kg and an initial angular...Ch. 16.1 - Prob. 16.42PCh. 16.1 - Disk A has a mass mA = 4 kg, a radius rA = 300 mm,...Ch. 16.1 - Disk B is at rest when it is brought into contact...Ch. 16.1 - Prob. 16.45PCh. 16.1 - Prob. 16.46PCh. 16.1 - For a rigid body in plane motion, show that the...Ch. 16.1 - Prob. 16.48PCh. 16.1 - Prob. 16.49PCh. 16.1 - Prob. 16.50PCh. 16.1 - Prob. 16.51PCh. 16.1 - A 250-lb satellite has a radius of gyration of 24...Ch. 16.1 - A rectangular plate of mass 5 kg is suspended from...Ch. 16.1 - Prob. 16.54PCh. 16.1 - A drum with a 200-mm radius is attached to a disk...Ch. 16.1 - A drum with a 200-mm radius is attached to a disk...Ch. 16.1 - The 12-lb uniform disk shown has a radius of r =...Ch. 16.1 - Prob. 16.58PCh. 16.1 - Prob. 16.59PCh. 16.1 - Prob. 16.60PCh. 16.1 - Prob. 16.61PCh. 16.1 - Two uniform cylinders, each of weight W = 14 lb...Ch. 16.1 - Prob. 16.63PCh. 16.1 - Prob. 16.64PCh. 16.1 - A uniform slender bar AB with a mass m is...Ch. 16.1 - Prob. 16.66PCh. 16.1 - 16.66 through 16.68A thin plate of the shape...Ch. 16.1 - 16.66 through 16.68A thin plate of the shape...Ch. 16.1 - A sphere of radius r and mass m is projected along...Ch. 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 - Prob. 16.72PCh. 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 - Prob. 16.5CQCh. 16.2 - Prob. 16.6CQCh. 16.2 - Prob. 16.7CQCh. 16.2 - Prob. 16.5FBPCh. 16.2 - Two identical 4-lb slender rods AB and BC are...Ch. 16.2 - Prob. 16.7FBPCh. 16.2 - Prob. 16.8FBPCh. 16.2 - Show that the couple I of Fig. 16.15 can be...Ch. 16.2 - Prob. 16.76PCh. 16.2 - 16.77 In Prob. 16.76, determine (a) the distance r...Ch. 16.2 - A uniform slender rod of length L = 36 in. and...Ch. 16.2 - In Prob. 16.78, determine (a) the distance h for...Ch. 16.2 - An athlete performs a leg extension on a machine...Ch. 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 - 16.84 and 16.85 A uniform rod of length L and mass...Ch. 16.2 - An adapted launcher uses a torsional spring about...Ch. 16.2 - Prob. 16.87PCh. 16.2 - Prob. 16.88PCh. 16.2 - The object ABC consists of two slender rods welded...Ch. 16.2 - A 3.5-kg slender rod AB and a 2-kg slender rod BC...Ch. 16.2 - A 9-kg uniform disk is attached to the 5-kg...Ch. 16.2 - Derive the equation MC=IC for the rolling disk of...Ch. 16.2 - Prob. 16.93PCh. 16.2 - Prob. 16.94PCh. 16.2 - Prob. 16.95PCh. 16.2 - Prob. 16.96PCh. 16.2 - A 40-kg flywheel of radius R = 0.5 m is rigidly...Ch. 16.2 - Prob. 16.98PCh. 16.2 - Prob. 16.99PCh. 16.2 - Prob. 16.100PCh. 16.2 - 16.98 through 16.101 A drum of 60-mm radius is...Ch. 16.2 - Prob. 16.102PCh. 16.2 - 16.102 through 16.105 A drum of 4-in. radius is...Ch. 16.2 - Prob. 16.104PCh. 16.2 - Prob. 16.105PCh. 16.2 - 16.106 and 16.107A 12-in.-radius cylinder of...Ch. 16.2 - 16.106 and 16.107A 12-in.-radius cylinder of...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 - A single-axis personal transport device starts...Ch. 16.2 - A hemisphere of weight W and radius r is released...Ch. 16.2 - A hemisphere of weight W and radius r is released...Ch. 16.2 - The center of gravity G of a 1.5-kg unbalanced...Ch. 16.2 - A small clamp of mass mB is attached at B to a...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 - Prob. 16.119PCh. 16.2 - Prob. 16.120PCh. 16.2 - End A of the 6-kg uniform rod AB rests on the...Ch. 16.2 - End A of the 6-kg uniform rod AB rests on the...Ch. 16.2 - End A of the 8-kg uniform rod AB is attached to a...Ch. 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 - The 3-lb uniform rod BD is connected to crank AB...Ch. 16.2 - The test rig shown was developed to perform...Ch. 16.2 - Solve Prob. 16.127 for = 90. 16.127The test rig...Ch. 16.2 - The 4-kg uniform slender bar BD is attached to bar...Ch. 16.2 - The motion of the uniform slender rod of length L...Ch. 16.2 - At the instant shown, the 20-ft-long, uniform...Ch. 16.2 - Prob. 16.132PCh. 16.2 - Prob. 16.133PCh. 16.2 - The hatchback of a car is positioned as shown to...Ch. 16.2 - The 6-kg rod BC connects a 10-kg disk centered at...Ch. 16.2 - Prob. 16.136PCh. 16.2 - In the engine system shown, l = 250 mm and b = 100...Ch. 16.2 - Solve Prob. 16.137 when = 90. 16.137In the engine...Ch. 16.2 - The 4-lb uniform slender rod AB, the 8-lb uniform...Ch. 16.2 - The 4-lb uniform slender rod AB, the 8-lb uniform...Ch. 16.2 - Two rotating rods in the vertical plane are...Ch. 16.2 - Two rotating rods in the vertical plane are...Ch. 16.2 - Two disks, each with a mass m and a radius r, are...Ch. 16.2 - A uniform slender bar AB of mass m is suspended as...Ch. 16.2 - A uniform rod AB, of mass 15 kg and length 1 m, is...Ch. 16.2 - The uniform slender 2-kg bar BD is attached to the...Ch. 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 - Prob. 16.152PCh. 16 - A cyclist is riding a bicycle at a speed of 20 mph...Ch. 16 - 16.154 The forklift truck shown weighs 2250 lb and...Ch. 16 - The total mass of the Baja car and driver,...Ch. 16 - Identical cylinders of mass m and radius r are...Ch. 16 - Prob. 16.157RPCh. 16 - The uniform rod AB of weight W is released from...Ch. 16 - Prob. 16.159RPCh. 16 - Prob. 16.160RPCh. 16 - A cylinder with a circular hole is rolling without...Ch. 16 - Prob. 16.162RPCh. 16 - Prob. 16.163RPCh. 16 - The Geneva mechanism shown is used to provide an...
Additional Engineering Textbook Solutions
Find more solutions based on key concepts
Repeat Problem 4-6 except solve by the vector loop method.
DESIGN OF MACHINERY
What is the importance of modeling in engineering? How are the mathematical models for engineering processes pr...
Heat and Mass Transfer: Fundamentals and Applications
What types of polymers are most commonly blow molded?
Degarmo's Materials And Processes In Manufacturing
17–1C A high-speed aircraft is cruising in still air. How does the temperature of air at the nose of the aircra...
Thermodynamics: An Engineering Approach
What is the weight in newtons of an object that has a mass of (a) 8 kg, (b) 0.04 kg, (c) 760 Mg?
Statics and Mechanics of Materials (5th Edition)
The spring of k and unstretched length 1.5R is attached to the disk at a radial distance of 0.75R from the cent...
Engineering Mechanics: Statics
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
- Please don't provide handwritten solution ....arrow_forwardA garage door is mounted on an overhead rail. The wheels at A and B have rusted so that they do not roll, but rather slide along the track. The coefficient of kinetic friction is 0.55. The distance between the wheels is 2.00 m, and each is 0.50m from the vertical sides of the door. The door is uniform and weighs 850 N. It is pushed to the left at constant speed by a horizontal force F⃗, that is applied as shown in the figure. If the distance h is 1.60 m, what is the vertical component of the force exerted on the wheel A by the track? If the distance h is 1.60 m, what is the vertical component of the force exerted on the wheel B by the track? Find the maximum value hh can have without causing one wheel to leave the track.arrow_forward16.8 A load of lumber weighing W = 25 kN is being raised by a crane. The weight of the boom ABC is 3 kN and the combined weight of the truck and driver is 50 kN as shown. Determine the maximum vertical acceleration of the lumber so that the crane does not tip over. A W 2.0 m- 2.0 m- Fig. P16.8 0.6 m 0.4 m ty B 3 kN F H 0.9 m C D 0.3 m -E 50 kN 2.0 m- K k 0.5 marrow_forward
- 3- To unload a bound stack of plywood from a truck, the driver first tilts the bed of the truck and then accelerates from rest. Knowing that the coefficients of friction between the bottom sheet of plywood and the bed are us = 0.40 and u = 0.30, determine (a) the smallest acceleration of the truck which will cause the stack of plywood to slide, (b) the acceleration of the truck which causes corner A of the stack to reach the end of the bed in 0.9 s. 40 20 00arrow_forwardQ16) A block of mass m, on a rough, horizontal surface is connected to a ball of mass m2 by a lightweight cord over a lightweight, frictionless pulley, as shown in Figure 14(a). A force of magnitude F at an angle e with the horizontal is applied to the block as shown. The coefficient of kinetic friction between the block and surface is g. Determine the magnitude of the acceleration of the two objects. Fig. 14 (a): The external force F applied as shown can cause the block to accelerate to the right.arrow_forward16.5 A uniform rod BC of mass 4 kg is connected to a collar A by a 250-mm cord AB. Neglecting the mass of the collar and cord, determine (a) the smallest constant acceleration a, for which the cord and the rod will lie in a straight line, (b) the corresponding tension in the cord. 250 mm B 400 mm 350 mm Fig. P16.5 Carrow_forward
- Can you please help with the attached problem?arrow_forward11. Two bodies of weight 40 N and 20 N are connected to the two ends of a light inextensible string, passing over a smooth pulley. The weight of 40 N is placed on a horizontal surface while the weight of 20 N is hanging free in the air as shown in Fig.1 The horizontal surface is rough one, having coefficient of friction for 40 N block as 0.28, determine i) acceleration of the system ii) Tension in the string. 40 N smooth pulley 20 Narrow_forwardThe double pulley shown has a weight of 35.0 lb and a centroidal radius of gyration of 5.0 in. Cylinder A (25.0 lb) and block B (16 lb) are attached to cords that wrap around pulleys in the manner shown. The coefficient of kinetic friction between block B and the surface is 0.25. Knowing that the system is released from rest at the position shown (h = 4 ft), determine the velocity of cylinder A when it strikes the ground. 6 in. A h 10 in. Barrow_forward
- Knowing that the coefficient of static friction between the tires and the road is 0.80 for the automobile shown, determine the maximum possible acceleration on a level road, assuming rear- wheel drive 20 in. 60 in. 40 in.arrow_forwardShow the complete solution. Put notes on steps. In the system shown, a 150 N collar-pulley assembly slides on a horizontal shaft with coefficient of kinetic friction pk = 0.10 between the collar and the shaft, and is acted upon by a force P with a magnitude of P = 261.65 N at an angle e = 31.16° as shown. Knowing that the assembly is initially at rest, what is the velocity after 3s? Also, at this instant, find the tension in the cord and the velocity of block A.arrow_forwardB. L 15° 30° A uniform bar of mass 166.93 kg and length L=2.1 m is supported by two massless frictionless roller blocks in the vertical plane, and held in static equilibrium by a horizontal force P at point A as shown. If the acceleration due to gravity g=9.81 m/s², determine the magnitude of P. O a. P = 409.51 N O b. P = 409.40 N O c. P = 409.30 N O d. P = 409.64 N e. P = 409.77 N O f. P = 409.21 Narrow_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