PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 19, Problem 54P
To determine
The angular velocity
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The uniform semicircular bar of radius r = 120 mm and mass m = 3.2 kg rotates freely about a horizontal axis through the pivot O. The
bar is initially held in position 1 against the action of the torsional spring and then suddenly released. Determine the spring stiffness kt
which will give the bar a counterclockwise angular velocity w = 4.3 rad/s when it reaches position 2, at which the spring is undeformed.
KT
m
1
2
A'
(0)
The wheel has a mass of 25 kg and a radius of gyration kb = 0.15m. It is originally spinning at
@=40 rad/s. If it is placed on the ground, for which the coefficient of kinetic friction is uc = 0.5,
determine the time required for the motion to stop. What are the horizontal and vertical
components of reaction which the pin at A exerts on AB during this time? Neglect the mass of
-0.4 m
AB.
0.2 m-
B
0.3 m
I
The rod of mass m and length L is released from rest without rotating. When it falls a distance L
the end A strikes the hook S, which provides a permanent connection. Determine the angular
velocity of the rod after it has rotated 90°. Treat the rod's weight during impact as a non-
impulsive force.
A
-L-
S
I
L
Chapter 19 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
Ch. 19 - The 60-kg wheel has a radius of gyration about its...Ch. 19 - Prob. 2FPCh. 19 - Prob. 3FPCh. 19 - Gears A and B of mass 10 kg and 50 kg have radii...Ch. 19 - The 50-kg spool is subjected to a horizontal force...Ch. 19 - Prob. 6FPCh. 19 - The rigid body (slab) has a mass m and rotates...Ch. 19 - Prob. 2PCh. 19 - Show that if a slab is rotating about a fixed axis...Ch. 19 - Prob. 21P
Ch. 19 - The two gears A and B have weights and radii of...Ch. 19 - The 30-kg gear is subjected to a force of P =...Ch. 19 - Prob. 27PCh. 19 - The turntable T of a record player has a mass of...Ch. 19 - The 10-g bullet having a velocity of 800 m/s is...Ch. 19 - Prob. 31PCh. 19 - Disk A has a weight of 20 lb. An inextensible...Ch. 19 - The 12-kg rod AB is pinned to the 40-kg disk. If...Ch. 19 - A thin rod of mass m has an angular velocity o...Ch. 19 - Prob. 41PCh. 19 - Prob. 42PCh. 19 - Prob. 44PCh. 19 - The 10-lb block is sliding on the smooth surface...Ch. 19 - Prob. 46PCh. 19 - The pendulum consists of a 15-kg solid ball and...Ch. 19 - Prob. 48PCh. 19 - The 20-kg disk strikes the step Without...Ch. 19 - The solid ball of mass m is dropped with a...Ch. 19 - Prob. 54PCh. 19 - Prob. 55PCh. 19 - Prob. 56PCh. 19 - Prob. 58PCh. 19 - The cable is subjected to a force of P = (10t2)...Ch. 19 - Prob. 2RPCh. 19 - The tire has a mass of 9 kg and a rad1us of...Ch. 19 - Prob. 4RPCh. 19 - The spool has a weight of 30 lb and a radius of...Ch. 19 - Prob. 6RPCh. 19 - Prob. 7RPCh. 19 - Prob. 8RP
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
- The flat circular disk rotates about a vertical axis through O with a slowly increasing angular velocity w. Prior to rotation, each of the 0.52-kg sliding blocks has the position x = 28 mm with no force in its attached spring. Each spring has a stiffness of 430 N/m. Determine the value of x for each spring for a steady speed of 279 rev/min. Also calculate the normal force N exerted by the side of the slot on the block. The force N is positive if it pushes from the side labeled A. Neglect any friction between the blocks and the slots, and neglect the mass of the springs. (Hint: Sum forces along and normal to the slot.) Answers: X = wwwwwwww N = i i -74-74- mm mm mm Narrow_forwardThe uniform 200-lb beam is initially at rest when the forces are applied to the cables. Set FA = 130 lb and FB = 180 lb . Determine the magnitude of the acceleration of the mass center at this instant. Express your answer to three significant figures and include the appropriate units. Determine the angular acceleration of the beam at this instant. Express your answer to three significant figures and include the appropriate units.arrow_forwardThe torsional spring is untwisted when the slender uniform rod is in the vertical position. The rod has a length of 0.79 m and a mass of 4.4 kg. The rod is released from rest in the horizontal position shown. What should the stiffness K of the spring be so that the rod will have an angular speed of = 3.5 rad/s when it passes the vertical position? The rod rotates freely about the fixed pin support at O. The motion occurs in a vertical plane. Choose the correct answer. a) 21.8 N.m/rad b) 17.9 N.m/rad c) 19.5 N.m/rad d) 18.4 N.m/rad e) 20.2 N.m/radarrow_forward
- The torsional spring is untwisted when the slender uniform rod is in the vertical position. The rod has a length of 0.81 m and a mass of 4.7 kg. The rod is released from rest in the horizontal position shown. What should the stiffness Kof the spring be so that the rod will have an angular speed of o = 4 rad/s when it passes the vertical position? The rod rotates freely about the fixed pin support at O. The motion occurs in a vertical plane. Choose the correct answer.arrow_forwardThe 5-kg cylinder is initially at rest when it is placed in contact with the wall B and the rotor at A. If the rotor always maintains a constant clockwise angular velocity, determine the initial angular acceleration of the cylinder. The coefficient of kinetic friction at the contacting surfaces B and C is k 0.2. = B 125 mm 45°arrow_forwardThe small end rollers of the 8-lb uniform slender bar (length = 4 ft) are constrained to move in the slots, which lie in the verticalplane. At the instant when θ = 30°, the velocity of roller A is 14 ft/s down the vertical slot. Determine the angular acceleration of the bar, the acceleration of mass center G, and the reactions of points A and B, under the action of the 6-lb force P. Neglect the friction and the mass of the small rollers.arrow_forward
- 1. The 6-kg cylinder is initially at rest when it is placed in contact with the wall B and the rotor at A. If the rotor always maintains a constant clockwise angular velocity w = 7 rad/s, determine the initial angular acceleration of the cylinder. The coefficient of kinetic friction at the contacting surfaces B and Cis Hx = 0.2. B 125 mm 45arrow_forwardThe wheel has mass m and centroidal radius of gyration (k bar) and rolls without slipping up the incline under action force P. The force is applied to the end of a cord which is wrapped securely around the inner hub of the wheel as shown. Determine the speed Vo of the wheel center O after the wheel center has traveled a distance d up the incline. The wheel is at rest when the force P is first applied.arrow_forwardQ8: The 25-kg bar BD is attached to the two light links AB and CD and moves in the vertical plane. The lower link is subjected to a clockwise torque M = 200 N. m applied through its shaft at A. If each link has an angular velocity w = 5 rad/s as it passes the horizontal position, calculate the force which the upper link exerts on the bar at D at this instant. Also find the angular acceleration of the links at this position. Ans.: F, = 234 N, a = 5.87 rad/s² CW D 300 mm 500 mm M B 600 mmarrow_forward
- The pendulum has a mass of 7.2 kg, a centre of gravity at G, and a radius of gyration of 0.31 m about the fixed pin support at O. The pendulum is released from rest in the position where 0 = 43 •. What is the magnitude of the pendulum's angular acceleration (in rad/s?) at this instant? Take = OG = 0.24 m. The motion occurs in a vertical plane and friction is negligible. f = OG Garrow_forwardThe 3.8 kg block is descending at a rate of 1.2 m/s when the hydraulic cylinder BC exerts a force F=500 N on the brake arm. Determine the number of radians the wheel will rotate before the system comes to rest. The wheel has a mass of 25 kg and a radius of gyration about its center kO=300 mm. The coefficient of kinetic friction between the brake arm and the wheel is 0.25.arrow_forwardThe 10-kg rod AB shown is confined so that its ends move in the horizontal andvertical slots. The spring has a stiffness of k = 800N/m and is unstretched when θ = 0˚.Determine the angular velocity of AB when θ = 0˚, if the rod is released from rest when θ = 30˚.Neglect the mass of the slider blocks. It’s frictionless.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
Dynamics - Lesson 1: Introduction and Constant Acceleration Equations; Author: Jeff Hanson;https://www.youtube.com/watch?v=7aMiZ3b0Ieg;License: Standard YouTube License, CC-BY