VECTOR MECHANIC
12th Edition
ISBN: 9781264095032
Author: BEER
Publisher: MCGRAW-HILL HIGHER EDUCATION
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 16.1, Problem 16.57P
The 12-lb uniform disk shown has a radius of r = 3.2 in. and rotates counterclockwise. Its center C is constrained to move in a slot cut in the vertical member AB, and an 11-lb horizontal force P is applied at B to maintain contact at D between the disk and the vertical wall. The disk moves downward under the influence of gravity and the friction at D. Knowing that the coefficient of kinetic friction between the disk and the wall is 0.12 and neglecting friction in the vertical slot, determine (a) the angular acceleration of the disk, (b) the acceleration of the center C of the disk.
Fig. P16.57
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The double pulley shown has a weight of 32.5 lb and a centroidal radius of gyration of 6.0 in.
Cylinder A (35.0 lb) and block B (18 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 = 3 ft), determine the
total distance that block B moves before coming to rest.
6 in.
A
h
10 in.
B
A 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.
Two wheels weighing W kg and 20 kg respectively are connected by a rod of negligible weight are free to roll on the smooth plane shown. Determine the magnitude of W so that the rod will be horizontal when the system is in equilibrium
Chapter 16 Solutions
VECTOR MECHANIC
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 - A loading car is at rest on a track forming an...
Ch. 16.1 - A 2100-lb rear-wheel-drive tractor carries a 900...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 - Solve Prob. 16.9, assuming that the casters are...Ch. 16.1 - Prob. 16.11PCh. 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 - A prototype rotating bicycle rack is designed to...Ch. 16.1 - The control rod AC is guided by two pins that...Ch. 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 - The 10-in.-radius brake drum is attached to a...Ch. 16.1 - The 10-in.-radius brake drum is attached to a...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 - 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 - Two disks A and B, of mass mA = 2 kg and mB = 4...Ch. 16.1 - Two disks A and B, of mass mA = 2 kg and mB = 4...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 - 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 - A uniform slender rod AB rests on a frictionless...Ch. 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 - 16.60 and 16.61The 400-lb crate shown is lowered...Ch. 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 - A uniform slender rod of length L = 900 mm and...Ch. 16.2 - A crate of mass 80 kg is held in the position...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 - A turbine disk weighing 50 lb rotates at a...Ch. 16.2 - The 80-lb tailgate of a car is supported by the...Ch. 16.2 - A uniform rod of length L and mass m is supported...Ch. 16.2 - Three stage lights are mounted on a pipe fixture...Ch. 16.2 - An adapted launcher uses a torsional spring about...Ch. 16.2 - A 4-kg slender rod is welded to the edge of a 3-kg...Ch. 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 - 16.98 through 16.101A drum of 80-mm radius is...Ch. 16.2 - 16.98 through 16.101A drum of 80-mm radius is...Ch. 16.2 - 16.98 through 16.101A drum of 80-mm radius is...Ch. 16.2 - 16.102 through 16.105A drum of 4-in. radius is...Ch. 16.2 - 16.102 through 16.105A drum of 4-in. radius is...Ch. 16.2 - 16.102 through 16.105A drum of 4-in. radius is...Ch. 16.2 - 16.102 through 16.105A drum of 4-in. radius is...Ch. 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 - A driver starts his car with the door on the...Ch. 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 - The forklift truck shown weighs 3200 lb and is...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 - Two 3-kg uniform bars are connected to form the...Ch. 16 - A crate of mass 80 kg is held in the position...Ch. 16 - The Geneva mechanism shown is used to provide an...
Additional Engineering Textbook Solutions
Find more solutions based on key concepts
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
Convert the following quantities from English to SI units: a. 98 Btu/(hr-ft-F) b. 0.24 Btu/(lbm-F) C. 0.04 Ibm/...
Heating Ventilating and Air Conditioning: Analysis and Design
For the beam loading of Figure P334, draw the complete shearing force and bending moment diagrams, and determin...
Machine Elements in Mechanical Design (6th Edition) (What's New in Trades & Technology)
Determine the length of the cantilevered beam so that the maximum bending stress in the beam is equivalent to t...
Mechanics of Materials (10th Edition)
Select a mechanical component from Part 3 of this book (roller bearings, springs, etc.), go to the Internet, an...
Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
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 81-lb sheet of plywood rests on two small wooden blocks as shown. It is allowed to lean 20° from the vertical under the action of a force P which is perpendicular to the sheet. Friction at all surfaces of blocks A and B is sufficient to prevent slipping. Determine the magnitude P and the vertical reaction forces at A and B. D 4.0' 1.0' E A 5.2' DE = 3.3 ft 1.8' B 1 -20⁰arrow_forwardA 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.arrow_forward4. A 300-lb cabinet is mounted on casters that can be locked to prevent their rotation. The coefficient of static friction between the floor and each caster is 0.23. Assuming that the casters at both A and B are locked, determine (a) the force Prequired to move the cabinet to the right, (b) the largest allowable value of h if the cabinet is not to tip over. В 24 in.arrow_forward
- 4. A garage door (8 ft by 10 ft) weighs 200-lbs is pulled with a constant 25-lb horizontal force to open it as shown. Assume the door rollers (A & B) are frictionless and the door does not rotate or lift off rollers A & B. G is the center of mass of the door. Determine: a. Reactions forces at each roller support (A & B) b. The constant acceleration of the door. c. The time for the door to move 10 feet. Assume it starts from rest. Draw FBD and write governing equations. Show all work. 8 ft 1 ft 5 ft 4 ft -8 ft 10 ft B 3 ft 25 lbsarrow_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_forwardthe uniform slender rod AB shown of weight w is supported by A peg at C and its end A rests against a vertical wall. the coefficients of friction at A and C are equal to f. find the ratio L/a when motion is impending. if θ=30˚ and f=0.3, find the ratio L/a.arrow_forward
- Please show all steps.arrow_forwardThe 200MM Y 1.2KG connecting rod and the 1.5kg P piston are connected through the mechanism shown. The 90mm AB crank rotates at a constant 1200 rpm counterclockwise. Determine when θ = 40 °, the reactions in joints B and D, do not consider friction between the cylinder and the piston Parrow_forwardA clockwise couple M is applied to the circular cylinder as shown. Determine the value of M required to initiate motion for the conditions mg = 4.6 kg, mc - 4.7 kg, (s)B=0.46, (c=0.34, and r=0.21 m. Friction between the cylinder C and the block B is negligible. (s)c Answer: M = mc M mg (₂)B N.marrow_forward
- Two uniform, solid cylinders of radius R and total mass M are connectedalong their common axis by a short, light rod and rest on a horizontaltabletop. A frictionless ring at the rod’s center is attached toa spring of force constant k; the spring’s other end is fixed. The cylindersare pulled to the left a distance x, stretching the spring, then releasedfrom rest. Due to friction between the tabletop and the cylinders, the cylindersroll without slipping as they oscillate. Show that the motion of thecenter of mass of the cylinders is simple harmonic, and find its period.arrow_forwardThe 200-mm-radius brake drum is attached to a larger Bywheel. The total mass moment of inertia of the flywheel and drum is 19 kg. and the coefficient of kinetic friction between the drum and the brake shoe is 035, Knowing that the initial angular velocity of the flywheel is 180 rpm clockwise, determine the vertical force P that must be applied to the pedal C if the system is to stop in 100 revolutions. 150 mm 250 mm B ne: P= 172.88 N C 375 mm 200 mmarrow_forwardRequired information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A 3.5-kg slender rod AB and a 2-kg slender rod BC are connected by a pin at B and by the cord AC. The assembly can rotate in a vertical plane under the combined effect of gravity and a couple M applied to rod BC. In the position shown, the angular velocity of the assembly is zero and the tension in cord AC is equal to 26.8 N. 300 mm A 400 mm 400 mm M B Determine the angular acceleration of the assembly. (You must provide an answer before moving to the next part.) rad/s²0. The angular acceleration of the assembly isarrow_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