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
Videos
Question
Chapter 19.3, Problem 19.69P
To determine
The magnitude of maximum displacement of block D.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Two blocks each have a mass 1.5 kg and are attached to links that are pin-connected to bar BC as shown. The masses of the links and bar are negligible, and the blocks can slide without friction. Block D is attached to a spring of constant = 720 N/m. Knowing that bloc k = 720 N/m. Knowing that block A is at rest when it is struck horizontally with a mallet and given an initial velocity of 250 mm/s, determine the magnitude of the maximum displacement of block D during the resulting motion.
A 30-lb slender rod AB is 5 ft long and is pivoted about a point O which is 1 ft from end B.
The other end is pressed against (NOT connected with) a spring of constant k = 150 lb/ft until
the spring is compressed 1 ft. The rod is then in a horizontal position. The mechanism is
designed such that no interference occurs during all motions. If the rod is released from rest at
this position, when it rotates 45°, determine:
a) The angular velocity of rod AB.
b) The angular acceleration of rod AB, as well as the magnitude of the reaction force at O.
5 ft
1 ft
B
SHOW COMPLETE SOLUTION
A spring is used to stop 50kg block moving down a 20 degrees inclined plane. The spring has a constant K= 30KN/M and is held by the cables so that it is initially compressed 50mm. Knowing that the velocity of the package is 2m/s when it is 8m from the spring and assuming the kinetic coefficient of friction between the package and the incline is 0.20.
Determine:
A. Final kinetic energy
B. Maximum additional deformation of spring in bringing the block to rest
C. Frictional force
Chapter 19 Solutions
Vector Mechanics for Engineers: Dynamics
Ch. 19.1 - A particle moves in simple harmonic motion....Ch. 19.1 - A particle moves in simple harmonic motion....Ch. 19.1 - Prob. 19.3PCh. 19.1 - Prob. 19.4PCh. 19.1 - Prob. 19.5PCh. 19.1 - Prob. 19.6PCh. 19.1 - A simple pendulum consisting of a bob attached to...Ch. 19.1 - A simple pendulum consisting of a bob attached to...Ch. 19.1 - A 10-Ib block A rests on a 40-Ib plate B that is...Ch. 19.1 - A 5-kg fragile glass vase is surrounded by packing...
Ch. 19.1 - Prob. 19.11PCh. 19.1 - Prob. 19.12PCh. 19.1 - Prob. 19.13PCh. 19.1 - Prob. 19.14PCh. 19.1 - Prob. 19.15PCh. 19.1 - Prob. 19.16PCh. 19.1 - Prob. 19.17PCh. 19.1 - Prob. 19.18PCh. 19.1 - Prob. 19.19PCh. 19.1 - Prob. 19.20PCh. 19.1 - A 50-kg block is supported by the spring...Ch. 19.1 - Prob. 19.22PCh. 19.1 - Two springs with constants k1and k2are connected...Ch. 19.1 - Prob. 19.24PCh. 19.1 - Prob. 19.25PCh. 19.1 - Prob. 19.26PCh. 19.1 - Prob. 19.27PCh. 19.1 - From mechanics of materials it is known that when...Ch. 19.1 - Prob. 19.29PCh. 19.1 - Prob. 19.30PCh. 19.1 - Prob. 19.31PCh. 19.1 - Prob. 19.32PCh. 19.1 - Prob. 19.33PCh. 19.1 - Prob. 19.34PCh. 19.1 - Using the data of Table 19.1, determine the period...Ch. 19.1 - Prob. 19.36PCh. 19.2 - The uniform rod shown has mass 6 kg and is...Ch. 19.2 - Prob. 19.38PCh. 19.2 - A 6-kg uniform cylinder can roll without sliding...Ch. 19.2 - A 6-kg uniform cylinder is assumed to roll without...Ch. 19.2 - Prob. 19.41PCh. 19.2 - Prob. 19.42PCh. 19.2 - A square plate of mass m is held by eight springs,...Ch. 19.2 - Prob. 19.44PCh. 19.2 - Prob. 19.45PCh. 19.2 - Prob. 19.46PCh. 19.2 - Prob. 19.47PCh. 19.2 - Prob. 19.48PCh. 19.2 - Prob. 19.49PCh. 19.2 - Prob. 19.50PCh. 19.2 - A thin homogeneous wire is bent into the shape of...Ch. 19.2 - A compound pendulum is defined as a rigid body...Ch. 19.2 - Prob. 19.53PCh. 19.2 - Prob. 19.54PCh. 19.2 - Prob. 19.55PCh. 19.2 - Two uniform rods each have a mass m and length I...Ch. 19.2 - Prob. 19.57PCh. 19.2 - A 1300-kg sports car has a center of gravity G...Ch. 19.2 - A 6-lb slender rod is suspended from a steel wire...Ch. 19.2 - A uniform disk of radius r=250 mm is attached at A...Ch. 19.2 - Prob. 19.61PCh. 19.2 - Prob. 19.62PCh. 19.2 - Prob. 19.63PCh. 19.2 - Prob. 19.64PCh. 19.2 - A 5-kg uniform rod CD of length l=0.7 m is welded...Ch. 19.2 - A uniform equilateral triangular plate with a side...Ch. 19.2 - Prob. 19.67PCh. 19.2 - Prob. 19.68PCh. 19.3 - Prob. 19.69PCh. 19.3 - Prob. 19.70PCh. 19.3 - Prob. 19.71PCh. 19.3 - Prob. 19.72PCh. 19.3 - Prob. 19.73PCh. 19.3 - Prob. 19.74PCh. 19.3 - Prob. 19.75PCh. 19.3 - A homogeneous wire of length 2l is bent as shown...Ch. 19.3 - A uniform disk of radius r and mass m can roll...Ch. 19.3 - Prob. 19.78PCh. 19.3 - Prob. 19.79PCh. 19.3 - Prob. 19.80PCh. 19.3 - A slender 10-kg bar AB with a length of l=0.6 m is...Ch. 19.3 - Prob. 19.82PCh. 19.3 - Prob. 19.83PCh. 19.3 - Prob. 19.84PCh. 19.3 - Prob. 19.85PCh. 19.3 - Prob. 19.86PCh. 19.3 - Prob. 19.87PCh. 19.3 - Prob. 19.88PCh. 19.3 - Prob. 19.89PCh. 19.3 - Prob. 19.90PCh. 19.3 - Prob. 19.91PCh. 19.3 - Prob. 19.92PCh. 19.3 - The motion of the uniform rod AB is guided by the...Ch. 19.3 - Prob. 19.94PCh. 19.3 - Prob. 19.95PCh. 19.3 - Prob. 19.96PCh. 19.3 - Prob. 19.97PCh. 19.3 - Prob. 19.98PCh. 19.4 - Prob. 19.99PCh. 19.4 - Prob. 19.100PCh. 19.4 - Prob. 19.101PCh. 19.4 - Prob. 19.102PCh. 19.4 - Prob. 19.103PCh. 19.4 - Prob. 19.104PCh. 19.4 - Prob. 19.105PCh. 19.4 - Prob. 19.106PCh. 19.4 - Prob. 19.107PCh. 19.4 - The crude-oil pumping rig shown is driven at 20...Ch. 19.4 - Prob. 19.109PCh. 19.4 - Prob. 19.110PCh. 19.4 - Prob. 19.111PCh. 19.4 - Prob. 19.112PCh. 19.4 - Prob. 19.113PCh. 19.4 - Prob. 19.114PCh. 19.4 - Prob. 19.115PCh. 19.4 - Prob. 19.116PCh. 19.4 - Prob. 19.117PCh. 19.4 - Prob. 19.118PCh. 19.4 - Prob. 19.119PCh. 19.4 - Prob. 19.120PCh. 19.4 - Prob. 19.121PCh. 19.4 - Prob. 19.122PCh. 19.4 - Prob. 19.123PCh. 19.4 - Prob. 19.124PCh. 19.4 - Prob. 19.125PCh. 19.4 - A small trailer and its load have a total mass of...Ch. 19.5 - Prob. 19.127PCh. 19.5 - Prob. 19.128PCh. 19.5 - Prob. 19.129PCh. 19.5 - Prob. 19.130PCh. 19.5 - Prob. 19.131PCh. 19.5 - Prob. 19.132PCh. 19.5 - Prob. 19.133PCh. 19.5 - Prob. 19.134PCh. 19.5 - Prob. 19.135PCh. 19.5 - Prob. 19.136PCh. 19.5 - Prob. 19.137PCh. 19.5 - A 0.9-kg block B is connected by a cord to a...Ch. 19.5 - Prob. 19.139PCh. 19.5 - Prob. 19.140PCh. 19.5 - Prob. 19.141PCh. 19.5 - Prob. 19.142PCh. 19.5 - Prob. 19.143PCh. 19.5 - Prob. 19.144PCh. 19.5 - Prob. 19.145PCh. 19.5 - Prob. 19.146PCh. 19.5 - Prob. 19.147PCh. 19.5 - Prob. 19.148PCh. 19.5 - A simplified model of a washing machine is shown....Ch. 19.5 - Prob. 19.150PCh. 19.5 - Prob. 19.151PCh. 19.5 - Prob. 19.152PCh. 19.5 - Prob. 19.153PCh. 19.5 - Prob. 19.154PCh. 19.5 - Prob. 19.155PCh. 19.5 - Prob. 19.156PCh. 19.5 - Write the differential equations defining (a) the...Ch. 19.5 - Write the differential equations defining (a) the...Ch. 19 - Prob. 19.159RPCh. 19 - Prob. 19.160RPCh. 19 - Prob. 19.161RPCh. 19 - Prob. 19.162RPCh. 19 - Prob. 19.163RPCh. 19 - Prob. 19.164RPCh. 19 - A 4-lb uniform rod is supported by a pin at O and...Ch. 19 - Prob. 19.166RPCh. 19 - Prob. 19.167RPCh. 19 - Prob. 19.168RPCh. 19 - Prob. 19.169RPCh. 19 - Prob. 19.170RP
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 3-lb block is supported as shown by a spring of constant k= 2 lb/in. that can act in tension or compression. The block is in its equilibrium position when it is struck from below by a hammer that imparts to the block an upward velocity of 90 in./s. Determine (a) the time required for the block to move 3 in. upward, (b) the corresponding velocity and acceleration of the block.arrow_forwardA weight stretches a spring 6 in. It is set in motion at a point 2 in. below its equilibrium position with a downward velocity of 2 in./sec. a. When does the weight return to its starting position? b. When does it reach its highest point? c. Show that the maximum velocity is 2sqrt(2g + 1) in./sec.arrow_forwardSHOW COMPLETE SOLUTION A spring is used to stop 50kg block moving down a 20 degrees inclined plane. The spring has a constant K= 30KN/M and is held by the cables so that it is initially compressed 50mm. Knowing that the velocity of the package is 2m/s when it is 8m from the spring and assuming the kinetic coefficient of friction between the package and the incline is 0.20. Determine: D. Final total potential energy E. Initial kinetic energy F. Initial total potential energyarrow_forward
- Two blocks, of masses m1 and m2, are connected to each other and to a central post by cords. They rotate about the post at a frequency of f (revolutions per second) on a frictionless horizontal surface at distances r1 and r2 from the post. 1) Derive an algebraic expression for the tension in the segment of the cord from the post to the block of mass m1. 2)Derive an algebraic expression for the tension in the segment of the cord from the block of mass m1 to the block of mass m2.arrow_forwardA slender 12.7-kg rod can rotate in a vertical plane about a pivot at A. A spring of constant k= 89 N/m and of unstretched length 350 mm is attached to the rod as shown. Knowing that the rod is released from rest in position (1) (0 = 0°), it has rotated through 90° to reach position (2) (0 = 90°). 400 mm 0=0 200 mm 300 mm 200 mm 0=90 kinetic energy at position (1) (Joules) moment of inertia about the hinge (kg.m²) a. 0.8 о Б.0.97 c. 0.64 d. 1.13 е. 0.32 work due weight (N.m) wwwarrow_forwardBoxes A and B are at rest on a conveyor belt that is initially at rest. The belt is suddenly started in an upward direction so that slipping occurs between the belt and the boxes. Knowing that the coefficients of kinetic friction between the belt and the boxes are (μk) A= 0.30 and (μk)B= 0.32, determine the initial acceleration of each box.arrow_forward
- A slender 12.7-kg rod can rotate in a vertical plane about a pivot at A. A spring of constant k= 121 N/m and of unstretched length 370 mm is attached to the rod as shown. Knowing that the rod is released from rest in position (1) (0 = 0°), it has rotated through 90° to reach position (2) ( e = 90°). 400 mm K -0=0 200 mm B 300 mm 200 mm 0=90 kinetic energy at position (1) (Joules) moment of inertia about the hinge (kg.m2) a. 0,8 O b. 0.97 c. 0.64 d. 1.13 O e. 0.32 work due weight (N.m) work due to spring (N.m) a. -5,57 b. -6.68 C. -4.45 d. -7.79 e. -2.23 angular velocity in position (2) (rad/s) О а. 5.71 b. 6.85 C. 4.57 d. 7,99 O e. 2.28 O o o C ооarrow_forward4-12 PROBLEM 13.29 A 20-lb block is attached to spring A and connected to spring B by a cord and pulley. The block is held in the position shown with both springs unstretched when the support is removed and the block is released with no initial velocity. Knowing that the constant of each spring is 12 lb/in., determine (a) the velocity of the block after it has moved down 2 in., (b) the maximum velocity achieved by the block. v = 1.638 ft/s Vmax = 1.892 ft/sarrow_forwardThe recoil mechanisms of large artillery guns would benefit if designed well to allow their quickest return to the firing position without oscillation. A 1250 kg artillery gun is capable of firing 50 kg muzzles at a velocity of 250 km/h. The recoil mechanism is itself 52 kg in weight. The recoil system is to be designed in such a way that it can return to within 50 mm of its firing position 0.1 s after its maximum recoil. Determine (a) the stiffness of the recoil mechanism, (b) the damping coefficient of the recoil mechanism, and (c) the maximum recoilarrow_forward
- In the system shown, a 150 N collar-pulley assembly slides on a horizontal shaft with coefficient of kinetic friction μk = 0.10 between the collar and the shaft, and is acted upon by a force P with a magnitude of P = 303.887 N at an angle θ = 35.38° as shown. Knowing that the assembly is initially at rest, what is the time when the velocity reaches to 3 m/s? what is the velocity of collar ? after 3 seconds? Also, at this instant, find the tension in the cord and the velocity of block A.arrow_forwardA slender 12.7-kg rod can rotate in a vertical plane about a pivot at A. A spring of constant k= 121 N/m and of unstretched length 370 mm is attached to the rod as shown. Knowing that the rod is released from rest in position (1) (0 =0°), it has rotated through 90° to reach position (2) ( e = 90°). 400 mm K 0=o 200 mm B 300 mm 200 mm 0=90arrow_forwardA block A of 60.0 lb is connected to a block B of 10.0 lb by means of a rope and an ideal pulley. The system is released from rest. Between block A and the surface, there is a coefficient of kinetic friction of 0.10. Block A has descended 5.00 ft. At this moment, determine: a. The displacement of block B.b. The magnitude of the tension in the rope.c. The speed of block B.d. The speed of block A.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
Ch 2 - 2.2.2 Forced Undamped Oscillation; Author: Benjamin Drew;https://www.youtube.com/watch?v=6Tb7Rx-bCWE;License: Standard youtube license