Engineering Mechanics: Statics & Dynamics (14th Edition)
14th Edition
ISBN: 9780133915426
Author: Russell C. Hibbeler
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 21.6, Problem 63P
The toy gyroscope consists of a rotor R which is attached to the frame of negligible mass. If it is observed that the frame is precessing about the pivot point O at ωp = 2 rad/s, determine the angular velocity ωR of the rotor. The stem OA moves in the horizontal plane. The rotor has a mass of 200 g and a radius of gyration kOA = 20 mm about OA.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents 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.
The 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:
Answer
The 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
F
Chapter 21 Solutions
Engineering Mechanics: Statics & Dynamics (14th Edition)
Ch. 21.1 - Show that the sum of the moments of inertia of a...Ch. 21.1 - Prob. 2PCh. 21.1 - Prob. 3PCh. 21.1 - Determine the moments of inertia Ix and Iy of the...Ch. 21.1 - Prob. 5PCh. 21.1 - Determine by direct integration the product of...Ch. 21.1 - Prob. 7PCh. 21.1 - Prob. 8PCh. 21.1 - Prob. 9PCh. 21.1 - Prob. 10P
Ch. 21.1 - Prob. 11PCh. 21.1 - Determine the moment of inertia Ixx of the...Ch. 21.1 - Prob. 13PCh. 21.1 - Prob. 14PCh. 21.1 - Prob. 15PCh. 21.1 - Prob. 16PCh. 21.1 - The bent rod has a weight of 1.5 lb/ft. Locate the...Ch. 21.1 - Prob. 18PCh. 21.1 - Prob. 19PCh. 21.1 - Prob. 20PCh. 21.1 - Prob. 21PCh. 21.3 - If a body contains no planes of symmetry, the...Ch. 21.3 - Prob. 23PCh. 21.3 - The 15-kg circular disk spins about its axle with...Ch. 21.3 - Prob. 25PCh. 21.3 - Prob. 26PCh. 21.3 - Prob. 27PCh. 21.3 - Prob. 28PCh. 21.3 - Prob. 29PCh. 21.3 - Prob. 30PCh. 21.3 - Prob. 31PCh. 21.3 - The 2-kg thin disk is connected to the slender rod...Ch. 21.3 - Prob. 33PCh. 21.3 - Prob. 34PCh. 21.3 - The 200-kg satellite has its center of mass at...Ch. 21.3 - Prob. 36PCh. 21.3 - Prob. 37PCh. 21.3 - Determine the kinetic energy of the 7-kg disk and...Ch. 21.3 - Prob. 39PCh. 21.3 - Prob. 40PCh. 21.4 - Prob. 41PCh. 21.4 - Prob. 42PCh. 21.4 - Prob. 43PCh. 21.4 - Prob. 44PCh. 21.4 - Prob. 45PCh. 21.4 - The assembly is supported by journal bearings at A...Ch. 21.4 - Prob. 47PCh. 21.4 - Prob. 48PCh. 21.4 - Prob. 49PCh. 21.4 - Prob. 50PCh. 21.4 - Prob. 51PCh. 21.4 - Prob. 52PCh. 21.4 - Prob. 53PCh. 21.4 - Prob. 54PCh. 21.4 - Prob. 55PCh. 21.4 - Prob. 56PCh. 21.4 - The blades of a wind turbine spin about the shaft...Ch. 21.4 - Prob. 58PCh. 21.4 - The thin rod has a mass of 0.8 kg and a total...Ch. 21.4 - Show that the angular velocity of a body, in terms...Ch. 21.4 - A thin rod is initially coincident with the Z axis...Ch. 21.6 - The gyroscope consists of a uniform 450-g disk D...Ch. 21.6 - The toy gyroscope consists of a rotor R which is...Ch. 21.6 - The top consists of a thin disk that has a weight...Ch. 21.6 - Solve Prob. 2164 when =90.Ch. 21.6 - Prob. 66PCh. 21.6 - Prob. 67PCh. 21.6 - Prob. 68PCh. 21.6 - Prob. 69PCh. 21.6 - Prob. 70PCh. 21.6 - Prob. 71PCh. 21.6 - Prob. 72PCh. 21.6 - Prob. 73PCh. 21.6 - Prob. 74PCh. 21.6 - Prob. 75PCh. 21.6 - Prob. 76PCh. 21.6 - Prob. 77PCh. 21.6 - Prob. 78P
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
- 3. The wheel has a mass of 100 kg and a radius of gyration about the z-axis of k: = 300 mm rests on a smooth horizontal plane. If the belt is subjected to a force of P= 170 N, determine the angular velocity of the wheel and the speed of its center of mass two seconds after the 400 mm force is applied.arrow_forwardThe homogenous disk B of mass mB=10 kg is free to rotate on the shaft S. If the shaft is turning about the z- axis at wz= 2 rad/s while increasing at 8 rad/s?, determine: 1. The angular velocity and the angular acceleration of the disk. 2. The acceleration of the centre of the disk at this moment. 3. The velocity of point A at this moment. 4. The kinetic energy of the disk at this moment. Neglect the mass of shaft S 8 rad/s 2 rad/s S 800 mm 400 mm 400 mmarrow_forwardi need the answer quicklyarrow_forward
- 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 kgarrow_forwardThe blade of an oscillating fan and the rotor of its motor have a total mass of 300 g and a combined radius of gyration of 75 mm. They are supported by bearings at A and B, 125 mm apart, and rotate at the rate w1 = 1800 rpm. Determine the dynamic reactions at A and B when the motor casing has an angular velocity w2 = (0.6 rad/s)j.arrow_forwardPravinbhaiarrow_forward
- The 153-kg wheel has a radius of gyration about its center of mass O of kO = 283 mm. If it rotates counterclockwise at an angular speed of 1431 rev/min and the tension force applied to the braking band at A is TA = 1771N,a) Determine the angular acceleration, in rad/s2, so that the wheel comes to rest in 67.6 revolutions after TA and TB are applied.arrow_forwardEach of the two links has a mass of 2 kg and a centroidal radius of gyration of 60mm. The slider at B has a mass of 3 kg and moves freely in the vertical guide. The springhas a stiffness of 6 kN/m. If a constant torque M = 20 N∙m is applied to link OA throughits shaft at O starting from the rest position at θ = 45°, determine the angular velocity ofOA when θ = 0.arrow_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_forward
- The 250-kg wheel has a radius of gyration about its center O of ko = 260 mm, and radius r = 0.4 m. When the wheel is subjected to the constant couple moment M = 64 N.m, it starts rolling from rest. Determine the total angular impulse L (in N.m.s) about the wheel's IC after 7.3 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. M Your Answer: Answerarrow_forwardThe circular disk of 145-mm radius has a mass of 38 kg with centroidal radius of gyration k bar = 25 mm and has a concentric circular groove of 55-mm radius cut into it. A steady force Tis applied at an angle theta to a cord wrapped around the groove as shown. If T = 40 N, theta = 0, mu_s = 0.11, and mu_k = 0.09, determine the angular acceleration a of thearrow_forwardBoth parts. Thank You.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 PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering 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