PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 21, Problem 64P
The top consists of a thin disk that has a weight of 8 lb and a radius of 0.3ft. The rod has a negligible mass and a length of 0.5 ft. If the top is spinning with an angular velocity ωs = 300 rad/s, determine the steady-state precessional angular velocity ωp of the rod when θ = 40º.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The circular disk of 270-mm radius has a mass of 36 kg with centroidal radius of gyration k = 235 mm and has a concentric circular
groove of 105-mm radius cut into it. A steady force T is applied at an angle to a cord wrapped around the groove as shown. If T = 59N,
0 = 29°, μs = 0.08, and μk = 0.07, determine the angular acceleration a of the disk, the acceleration a of its mass center G, and the
friction force F which the surface exerts on the disk. The angular acceleration a is positive if counterclockwise, negative if clockwise;
the acceleration a is positive if to the right, negative if to the left; and the friction force F is positive if to the right, negative if to the left.
m= 36 kg
k 235 mm
270 mm
T
G
Ug = 0.08
Uh = 0.07
105
mm.
To increase the wheel's moment of inertia, I mount a thin hoop of mass m =2.11kg to its rim, then restart it spinning at the same rate. The precession speed decreases to Ω(1)=1.21s^−1. What is the mass of the wheel without the hoop?
The cable drum has a mass of 610 kg with radius of gyration of 385 mm about its center O and is mounted in bearings on the 1325-kg
carriage. The carriage is initially moving to the left with a speed of 1.8 m/s, and the drum is rotating counterclockwise with an angular
velocity of 2.0 rad/s when a constant horizontal tension T = 345 N is applied to the cable at time t = 0. Determine the velocity v of the
carriage and the angular velocity w of the drum when t = 20 s. Neglect the mass of the carriage wheels. The velocity v is positive if to
the right, negative if to the left. The angular velocity is positive if counterclockwise, negative if clockwise.
%3D
%3D
T = 345 N
610 kg
415 mm
1325 kg
Chapter 21 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
Ch. 21 - Show that the sum of the moments of inertia of a...Ch. 21 - Prob. 2PCh. 21 - Prob. 3PCh. 21 - Determine the moments of inertia Ix and Iy of the...Ch. 21 - Prob. 5PCh. 21 - Determine by direct integration the product of...Ch. 21 - Prob. 9PCh. 21 - Prob. 10PCh. 21 - Determine the moment of inertia Ixx of the...Ch. 21 - Prob. 13P
Ch. 21 - Prob. 14PCh. 21 - Prob. 15PCh. 21 - The bent rod has a weight of 1.5 lb/ft. Locate the...Ch. 21 - If a body contains no planes of symmetry, the...Ch. 21 - Prob. 23PCh. 21 - Prob. 25PCh. 21 - Prob. 28PCh. 21 - Prob. 29PCh. 21 - Prob. 30PCh. 21 - The 2-kg thin disk is connected to the slender rod...Ch. 21 - Prob. 33PCh. 21 - Prob. 36PCh. 21 - Prob. 37PCh. 21 - Prob. 40PCh. 21 - Prob. 41PCh. 21 - Prob. 42PCh. 21 - Prob. 48PCh. 21 - Prob. 51PCh. 21 - Prob. 54PCh. 21 - Show that the angular velocity of a body, in terms...Ch. 21 - A thin rod is initially coincident with the Z axis...Ch. 21 - The top consists of a thin disk that has a weight...Ch. 21 - Prob. 66PCh. 21 - Prob. 69PCh. 21 - Prob. 70PCh. 21 - Prob. 73PCh. 21 - Prob. 74PCh. 21 - Prob. 77P
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 satellite has a mass of 220 kg and a radius of gyration about z axis of k₂ = 0.1 m, excluding the two solar panels A and B. Each solar panel has a mass of 15 kg and can be approximated as a thin plate. The satellite is originally spinning about the z axis at a constant rate w = 0.5 rad/s when = 90°. (Figure 1) Figure 0.3 m 0-90° 1.5 m 0.2 m < B 1 of 1 Part A Determine the rate of spin if both panels are raised and reach the upward position, 0 = 0°, at the same instant. Express your answer using three significant figures. W₂ = Submit VE ΑΣΦ ↓↑ Request Answer < Return to Assignment vec Provide Feedback Ć ? rad/sarrow_forwardThe 21-kg wheel has a radius of gyration about its center O of ko =260 mm, and radius r = 0.5 m. When the wheel is subjected to the constant force F = 247 N, applied to the wheel's center axle at an angle = 6°, it starts rolling from rest. Determine the wheel's angular velocity W (in rad/s) after 4.0 seconds if the wheel has been rolling without slipping. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point. Take g = 9.81 m/s². Your Answer: G Answer r 0 Farrow_forwardThe 27-kg wheel has a radius of gyration about its center O of ko = 260 mm, and radius r = 0.5 m. When the wheel is subjected to the constant force F = 354 N, applied to the wheel's center axle at an angle = 6°, it starts rolling from rest. Determine the wheel's angular velocity W (in rad/s) after 3.2 seconds if the wheel has been rolling without slipping. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point. Take g = 9.81 m/s². F 0 Your Answer: Answerarrow_forward
- The disk weighs 50 lb and has a radius of gyration (kg) of 0.8 ft, and a couple moment of 35 lb-ft is applied to the disk. Determine the acceleration of at the mass center G for the µs =0.3 and μk =0.25. G 1.25 ft A - M = 35 lb. ftarrow_forwardA drum with a radius of 0.5 ft has a weight of 90 lb and a radius of gyration ko = 0.3 ft. A weightless cable is wrapped around the drum and rotates it clockwise. If the cable is being pulled by a force P = 15 lb, determine the time needed to increase the drum's angular velocity from w1 = 6 rad/s to wz = 24 rad/s. 0.5 ftarrow_forwardThe top has a mass of 1 kg and radius of gyration of k, = 25 mm about its axis of symmetry. The top spins and precesses about the ball-and-socket joint at point O. It's transverse radius of gyration about point O is k = 63 mm. The spin velocity is ws = 150 rad/s. • Under these conditions. determine the two possible precession velocities op of the top. Determine the kinetic energy of the top for each of the two possible precession velocities.arrow_forward
- The uniform rectangular plate moves on the horizontal surface. Its mass center has a velocity VG = 11 in./sec directed parallel to the x- axis and the plate has a counterclockwise (as seen from above) angular velocity w = 5.0 rad/sec. Determine the velocities of points A and B. Answers: VA= (i VB = (i 5" A 8" z I G B i+ UG i+ y X j) in./sec j) in./secarrow_forwardThe double pulley consists of two parts that are attached to one another. It has a weight of 52 lb and a radius W= 20 rad/s of gyration about its center of k = 0,9 ft. If it rotates with O an angular velocity of 20 rad>s clockwise, determine the kinetic energy of the system. Assume that neither cable slips on the pulley. @= 20 rad/s 0.5ft 1 ft B 30 lb A 20 lbarrow_forwardThe uniform rectangular plate moves on the horizontal surface. Its mass center has a velocity VG = 11 in./sec directed parallel to the x- axis and the plate has a counterclockwise (as seen from above) angular velocity w = 5.0 rad/sec. Determine the velocities of points A and B. Answers: VA = ( VB = ( 11 P 59 A 8° 1 01 G i+ ! B UG -20 i+ y 20 j) in./sec i) in./secarrow_forward
- 1) The shown spool has a mass of 100 kg and radius of gyration of 0.3 m. For P = 70 N and µ, =H = 0.2 the spool rolls without sliding, calculate the angular acceleration of the spool 250 mm 400 mmarrow_forwardThe 33-kg reel has a radius of gyration about its center O of ko = 240 mm. If it is released from rest, determine its angular velocity W (in rad/s) when its center O has traveled 6.9 m down the smooth inclined plane (with angle = 32°). Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s². 0.2 m Your Answer: Answer TO 0.4 marrow_forwardGiven: The 30 kg rod is released from rest when 0 = 0°. The spring is unstretched when = 0°. Find: The angular velocity of the rod when 0 = 30°. 1.5 m 2 m k=80 N/marrow_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
First Law of Thermodynamics, Basic Introduction - Internal Energy, Heat and Work - Chemistry; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=NyOYW07-L5g;License: Standard youtube license