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 17.3, Problem 17.117P
A uniform slender rod AB of length L = 600 mm is placed with its center equidistant from two supports that are located at a distance b = 100 mm from each other. End B of the rod is raised a distance h0 = 80 mm and released; the rod then rocks on the supports as shown. Assuming that the impact at each support is perfectly plastic and that no slipping occurs between the rod and the supports, determine (a) the height h1 reached by end A after the first impact, (b) the height h2 reached by end B after the second impact.
Fig. P17.117
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The uniform bar is at rest on a smooth half-sphere with radius R = b / 2. In A there is a ball joint and the bar rests at B against the vertical wall without friction. If the length of the bar AB is 4 m, and its weight is W = 200 N, at the midpoint of the bar. Take b = 1.6 m and d = 2.8 m, determine in Newtons:
a) The magnitude of the normal force FN of the hemisphere on the bar.
b) The magnitude of the normal force FB of the wall on the bar.
c) The force AX of the patella on the bar in the X-axis.
d) The force AY of the patella on the bar in the Y-axis.
e) The force AZ of the patella on the bar in the Z-axis.
4. 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 friction
A vehicle of total weight 40000 + 250*19 Newton is held at rest on a slope of
10 degree during downhill. It has a wheel base of 2.25 m and its center of gravity is
1.0 m in front of the rear axle and 1.5 m above the ground level. Find (a) what are
the normal reactions at the wheels? (6) Assuming that sliding does not occur first,
what will be the angle of slope so that the vehicle will overturn?
Chapter 17 Solutions
VECTOR MECHANIC
Ch. 17.1 - A round object of mass m and radius r is released...Ch. 17.1 - Prob. 17.2CQCh. 17.1 - Prob. 17.3CQCh. 17.1 - Prob. 17.4CQCh. 17.1 - Slender bar A is rigidly connected to a massless...Ch. 17.1 - A 200-kg flywheel is at rest when a constant 300...Ch. 17.1 - The rotor of an electric motor has an angular...Ch. 17.1 - Prob. 17.3PCh. 17.1 - Two disks of the same material are attached to a...Ch. 17.1 - The flywheel of a punching machine has a weight of...
Ch. 17.1 - Prob. 17.6PCh. 17.1 - Prob. 17.7PCh. 17.1 - Prob. 17.8PCh. 17.1 - The 10-in.-radius brake drum is attached to a...Ch. 17.1 - Prob. 17.10PCh. 17.1 - Each of the gears A and B has a mass of 10 kg and...Ch. 17.1 - Solve Prob. 17.11, assuming that the 6 Nm couple...Ch. 17.1 - Prob. 17.13PCh. 17.1 - The double pulley shown has a mass of 15 kg and a...Ch. 17.1 - Gear A has a mass of 1 kg and a radius of gyration...Ch. 17.1 - A slender rod of length l and mass m is pivoted...Ch. 17.1 - The 15-kg rear hatch of a vehicle opens as shown...Ch. 17.1 - A slender 9-lb rod can rotate in a vertical plane...Ch. 17.1 - An adapted golf device attaches to a wheelchair to...Ch. 17.1 - A 10-kg storm window measuring 900 1500 mm is...Ch. 17.1 - A collar with a mass of 1 kg is rigidly attached...Ch. 17.1 - A collar with a mass of 1 kg is rigidly attached...Ch. 17.1 - Two identical slender rods AB and BC are welded...Ch. 17.1 - Prob. 17.24PCh. 17.1 - A 100-kg solid cylindrical disk, 800 mm in...Ch. 17.1 - Prob. 17.26PCh. 17.1 - Greek engineers had the unenviable task of moving...Ch. 17.1 - A small sphere of mass m and radius r is released...Ch. 17.1 - Prob. 17.29PCh. 17.1 - A half-cylinder with mass m and radius r is...Ch. 17.1 - Prob. 17.31PCh. 17.1 - Two uniform cylinders, each of weight W = 14 lb...Ch. 17.1 - Prob. 17.33PCh. 17.1 - A bar of mass m = 5 kg is held as shown between...Ch. 17.1 - The 1.5-kg uniform slender bar AB is connected to...Ch. 17.1 - The motion of the uniform rod AB is guided by...Ch. 17.1 - Prob. 17.37PCh. 17.1 - Prob. 17.38PCh. 17.1 - The ends of a 9-lb rod AB are constrained to move...Ch. 17.1 - The mechanism shown is one of two identical...Ch. 17.1 - The mechanism shown is one of two identical...Ch. 17.1 - Each of the two rods shown is of length L = 1 m...Ch. 17.1 - The 4-kg rod AB is attached to a collar of...Ch. 17.1 - If in Prob. 17.43 the angular velocity of the...Ch. 17.1 - The uniform rods AB and BC are of mass 3 kg and 8...Ch. 17.1 - The uniform rods AB and BC weigh 2.4 kg and 4 kg,...Ch. 17.1 - The 80-mm-radius gear shown has a mass of 5 kg and...Ch. 17.1 - Prob. 17.48PCh. 17.1 - Three shafts and four gears are used to form a...Ch. 17.1 - The experimental setup shown is used to measure...Ch. 17.1 - Prob. 17.51PCh. 17.2 - The 350-kg flywheel of a small hoisting engine has...Ch. 17.2 - Prob. 17.2IMDCh. 17.2 - Prob. 17.3IMDCh. 17.2 - Prob. 17.52PCh. 17.2 - A bolt located 2 in. from the center of an...Ch. 17.2 - A small grinding wheel is attached to the shaft of...Ch. 17.2 - A uniform 144-lb cube is attached to a uniform...Ch. 17.2 - Prob. 17.56PCh. 17.2 - Prob. 17.57PCh. 17.2 - Prob. 17.58PCh. 17.2 - Prob. 17.59PCh. 17.2 - Each of the double pulleys shown has a centroidal...Ch. 17.2 - Each of the gears A and B has a mass of 675 g and...Ch. 17.2 - Two identical uniform cylinders of mass m and...Ch. 17.2 - Two identical 16-lb uniform cylinders of radius r...Ch. 17.2 - Prob. 17.64PCh. 17.2 - Prob. 17.65PCh. 17.2 - Show that, when a rigid body rotates about a fixed...Ch. 17.2 - Prob. 17.68PCh. 17.2 - A flywheel is rigidly attached to a 1.5-in.-radius...Ch. 17.2 - A wheel of radius r and centroidal radius of...Ch. 17.2 - Prob. 17.71PCh. 17.2 - 17.72 and 17.73The 3-lb carriage C is supported as...Ch. 17.2 - Prob. 17.73PCh. 17.2 - Two uniform cylinders, each of mass m = 6 kg and...Ch. 17.2 - Prob. 17.75PCh. 17.2 - Prob. 17.76PCh. 17.2 - A sphere of radius r and mass m is projected along...Ch. 17.2 - A bowler projects an 8.5-in.-diameter ball...Ch. 17.2 - Prob. 17.79PCh. 17.2 - A satellite has a total weight (on Earth) of 250...Ch. 17.2 - Two 10-lb disks and a small motor are mounted on a...Ch. 17.2 - Prob. 17.82PCh. 17.2 - Prob. 17.83PCh. 17.2 - Prob. 17.84PCh. 17.2 - Prob. 17.85PCh. 17.2 - Prob. 17.86PCh. 17.2 - The 30-kg uniform disk A and the bar BC are at...Ch. 17.2 - Prob. 17.88PCh. 17.2 - A 1.8-kg collar A and a 0.7-kg collar B can slide...Ch. 17.2 - Prob. 17.90PCh. 17.2 - A small 4-lb collar C can slide freely on a thin...Ch. 17.2 - Rod AB has a weight of 6 lb and is attached to a...Ch. 17.2 - A 3-kg uniform cylinder A can roll without sliding...Ch. 17.2 - The 4-kg cylinder B and the 3-kg wedge A are at...Ch. 17.2 - The 6-lb steel cylinder A of radius r and the...Ch. 17.3 - A uniform slender rod AB of mass m is at rest on a...Ch. 17.3 - Prob. 17.5IMDCh. 17.3 - Prob. 17.6IMDCh. 17.3 - At what height h above its center G should a...Ch. 17.3 - A bullet weighing 0.08 lb is fired with a...Ch. 17.3 - In Prob. 17.97, determine (a) the required...Ch. 17.3 - A 16-lb wooden panel is suspended from a pin...Ch. 17.3 - Prob. 17.100PCh. 17.3 - A 45-g bullet is fired with a velocity of 400 m/s...Ch. 17.3 - A 45-g bullet is fired with a velocity of 400 m/s...Ch. 17.3 - The tire shown has a radius R = 300 mm and a...Ch. 17.3 - Prob. 17.104PCh. 17.3 - A uniform slender rod AB of mass m is at rest on a...Ch. 17.3 - A uniform slender rod AB is at rest on a...Ch. 17.3 - A bullet of mass m is fired with a horizontal...Ch. 17.3 - Determine the height h at which the bullet of...Ch. 17.3 - A uniform slender bar of length L = 200 mm and...Ch. 17.3 - A uniform slender rod of length L is dropped onto...Ch. 17.3 - A uniform slender rod AB has a mass m, a length L,...Ch. 17.3 - You have been hired to design a baseball catcher...Ch. 17.3 - The trapeze/lanyard air drop (t/LAD) launch is a...Ch. 17.3 - The uniform rectangular block shown is moving...Ch. 17.3 - The 40-kg gymnast drops from her maximum height of...Ch. 17.3 - A uniform slender rod AB of length L = 600 mm is...Ch. 17.3 - Prob. 17.118PCh. 17.3 - A 1-oz bullet is fired with a horizontal velocity...Ch. 17.3 - For the beam of Prob. 17.119, determine the...Ch. 17.3 - Prob. 17.121PCh. 17.3 - Prob. 17.122PCh. 17.3 - A slender rod AB is released from rest in the...Ch. 17.3 - Prob. 17.124PCh. 17.3 - Block A has a mass m and is attached to a cord...Ch. 17.3 - Prob. 17.126PCh. 17.3 - 17.127 and 17.128Member ABC has a mass of 2.4 kg...Ch. 17.3 - 17.127 and 17.128Member ABC has a mass of 2.4 kg...Ch. 17.3 - Prob. 17.129PCh. 17.3 - Prob. 17.130PCh. 17.3 - A small rubber ball of radius r is thrown against...Ch. 17.3 - Sphere A of mass m and radius r rolls without...Ch. 17.3 - In a game of pool, ball A is rolling without...Ch. 17 - A uniform disk, initially at rest and of constant...Ch. 17 - The 8-in.-radius brake drum is attached to a...Ch. 17 - A uniform slender rod is placed at corner B and is...Ch. 17 - The motion of the slender 250-mm rod AB is guided...Ch. 17 - A baseball attachment that helps people with...Ch. 17 - Disks A and B are made of the same material, are...Ch. 17 - Disks A and B are made of the same material, are...
Additional Engineering Textbook Solutions
Find more solutions based on key concepts
The triple jump is a track-and-field event in which an athlete gets a running start and tries to leap as far as...
Vector Mechanics For Engineers
What types of polymers are most commonly blow molded?
Degarmo's Materials And Processes In Manufacturing
23.23 A highly oxidized and uneven round bar is being turned on a lathe. Would you recommend a small or a large...
Manufacturing Engineering & Technology
3.3 It is known that a vertical force of 200 lb is required to remove the nail at C from the board. As the nail...
Vector Mechanics for Engineers: Statics, 11th Edition
Three rigid bodies, 2,3, and 4, are connected by four springs as shown in the figure. A horizontal force of 1,0...
Introduction To Finite Element Analysis And Design
A 20-lb force is applied to the control rod AB as shown. Knowing that the length of the rod is 9 in. and that t...
Statics and Mechanics of Materials
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.The bar of negligible weight is supported by two springs, each having a stiffness k = 98 N/m. If the springs are originally unstretched, and the force is vertical as shown, determine the angle the bar makes with the horizontal, when the 31-N force is applied to the bar. B.Determine the stiffness k of each spring so that the 32-N force causes the bar to tip = 13.6° when the force is applied. Originally the bar is horizontal and the springs are unstretched. Neglect the weight of the bar.arrow_forwardThe 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 (w = 0) at time M0 is applied to it as shown, causing the assembly to complete one full revolution in 2 s. Determine (a) the couple (b) the dynamic reactions at A and B at T=0.arrow_forwardThe circular bar shown in the figure is vertical.fixed by the support at point A in the plane. AThe spring constant connected to the support is k = 40 N/m. Broadcastingundeformed length, arc between circle ABis the distance. C fitting (bracelet) with a mass of 200 grams,connected to the spring and move in a frictionless circle bar.can. When the union is θ = 30° from the rest positionis being released. In this case, relative to point B of the fittingthe highest height it can reach and the highestcalculate the speedarrow_forward
- Four identical rods, each of length = 1.3 m and weight 90 N, are connected at the frictionless pins A, B, C, and D. A compression spring of spring constant K = 5.3 N/mm connects pins B and C. and a weight W2 of 450 N is supported at pin D. The system is released from a configuration where = 45°. If the spring is not compressed at that configuration, show that the maximum de- flection of the weight We is 0.1966 m.arrow_forwardThe girl has a mass of 45 kg and center of mass at G. (Figure 1) Figure B 2m 0 30° 30° 1 of 1 Part A If she is swinging to a maximum height defined by 0 = 60°, determine the force developed along each of the four supporting posts such as AB at the instant 0 = 0°. The swing is centrally located between the posts. Express your answer to three significant figures and include the appropriate units. F = Submit μА Value Provide Feedback N Previous Answers Request Answer ? X Incorrect; Try Again; 5 attempts remaining Next >arrow_forwardEnd B of the uniform 2.7-kg bar AB is connected to a small roller that moves in a horizontal slot. The other end of the bar is pinned to the homogeneous 1.8-kg disk that rolls without slipping on the vertical surface. The spring attached to A has a free length of 0.3 m and a stiffness of 58 N/m. After the system is becomes horizontal. Determine the magnitude of the force P that acts on the bar at B. 2.1 m 0.24 m 0.9 m www 1.8 kg 1.5 m 2.7 kg Parrow_forward
- Question 2: A 35-kg disk rests on an inclined surface for which us=0.2µus=0.2. Determine the maximum vertical force P that may be applied to bar AB without causing the disk to slip at C. Neglect the mass of the bar. 200 mm 300 mm -600 mm- B 200 mm 30 P.arrow_forwardEngineering mechanics – statics 1$t stage Lecturer: Amany Barrak :- Example : The floor crane and the driver have a total weight of 2500 Ib with a center of gravity at G. If the crane is required to the 500-lb drum, determine the normal reaction on both the wheels at A and both the wheels at B when the boom is in the position shown. 12 i 3 ft 30 6 ft 8.4 ft 2.2 ft 1.4 ftarrow_forwardA 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_forward
- The hoist consists of a single rope and an arrangement of frictionless pulleys as shown. If the angle 0 = 33°, determine the force that must be applied to the rope, Frope, to lift a load of 4.7 kN. The three- pulley and hook assembly at the center of the system has a mass of 28.5 kg with a center of mass that lies on the line of action of the force applied to the hook. cc 130 BY NC SA 2013 Michael Swanbom Note the figure may not be to scale. Frope KN B A Fhook Fropearrow_forwardWhen the 0.05-kg body is in the position shown, the linear spring is stretched 15 mm. Determine the force P required to break contact at C. Complete solutions for (a) including the effects of the weight and (b) neglecting the weight. P56 mm A k = 1900 N/m B 56 mm Answers: (a) Including the weight, P = i N (b) Neglecting the weight, P = 32 mm 32 mmarrow_forward*********MASS IS 10 KG, NOT LBS********** The 10 kg slender bar AB, shown in the figure, has a length of 2 m. A blockof negligible mass, pinned freely to end A, is confined to move along the smooth circular groove with its centre at O. End B rests on the floor for which the coefficient of kinetic friction, µk = 0.4. If the bar is released from rest when θ = 30 degrees *********MASS IS 10 KG, NOT LBS********** a)draw the free body, kinematic and kinetic diagrams for the bar, b) set up a global reference axes system, and write down the relevantkinetic and kinematic relationships with respect to reference axes system, and c) determine the angular acceleration of the bar and the reaction forces at ends A and B. *********MASS IS 10 KG, NOT LBS**********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
EVERYTHING on Axial Loading Normal Stress in 10 MINUTES - Mechanics of Materials; Author: Less Boring Lectures;https://www.youtube.com/watch?v=jQ-fNqZWrNg;License: Standard YouTube License, CC-BY