PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 21, Problem 77P
To determine
The angular momentum of the satellite about the axes passing through the mass center.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Determine the gyroscopic couple, if the ship travels at 2 km/min and steer to the right in a curve of 65 m radius.The turbine rotor of a ship has a mass of 10tonnes and a radius of gyration 1.5 m. It rotates at 38r.p.s. anticlockwise, when looking from the stern and write the reactive gyroscopic effect.
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 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. ft
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 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_forwardThe 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 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 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 dump truck carries 5 m³ of dirt with a density of 1600 kg /m³, and the elevating mechanism rotates the dump about the pivot A at a constant angular rate of 4 deg /s. The mass center of the dump and load is at G. Determine the maximum power P required during the tilting of the load. 1500 mm 900 mmarrow_forward3. 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_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 platform AB when empty has a mass of 400 kg centre of mass at G1 and natural period of oscillation t1=3.82 s. If a car, having a mass of 1.2 Mg and centre of mass at G2 is placed on the platform, the natural period of oscillation becomes t1=4.58 s. Determine the moment of inertia of the car about an axis passing through G2.arrow_forwardThe 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_forward
- 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?arrow_forwardThe 19-N bar is on a smooth horizontal table, and it has a moment of inertia about the center of mass as I = 1,9 kg.m2. When F = 22 N force is applied as shown, which of the following is the angular acceleration of the bar ? 2 marrow_forwardThe 30-kg wheel has a radius of gyration about its center O of ko = 240 mm, and radius r = 0.5 m. When the wheel is subjected to the constant force F = 388 N, applied to the wheel's center axle at an angle = 6°, it starts rolling from rest. Determine the total angular impulse L (in N•m.s) about the wheel's IC after 3.7 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 Ө Farrow_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
Fluid Mechanics - Viscosity and Shear Strain Rate in 9 Minutes!; Author: Less Boring Lectures;https://www.youtube.com/watch?v=_0aaRDAdPTY;License: Standard youtube license