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 21.4, Problem 57P
The blades of a wind turbine spin about the shaft S with a constant angular speed of ωs, while the frame precesses about the vertical axis with a constant angular speed of ωp. Determine the x, y, and z components of moment that the shaft exerts on the blades as a function of θ. Consider each blade as a slender rod of mass m and length l.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
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:
Answer
The 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
F
An aeroplane runs at 600 km/ h. The rotor of the engine
weighs 4000 N with radius of gyration of 1 metre. The
speed of rotor is 3000 rpm in anticlockwise direction
when seen from rear side of the aeroplane. If the plane
takes left turn in a curve of 100 metres radius, find: 1.
gyroscopic couple developed; and 2. effect of reaction
gyroscopic couple developed on the body of aeroplane
by using vector diagram.
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
- The rod AB is non-uniform with a radius of gyration of 4.00 ft with respect to a horizontal axis through the center of mass G. It weighs 161 lb. At the moment shown the rod has a counterclockwise angular velocity of 3.00 rad/sec, and the spring is compressed by 2.00 ft. Calculate the force constant of the spring that will reduce the angular velocity of the rod to 1.50 rad/sec when it reaches the horizontal position. Assume the blocks A and B are weightless.arrow_forwardDetermine the equivalent of the system using the angular motion of the bar 2c k 4 Slender bar of mass m 1/7 1/4arrow_forwardOnly question 4 , don't do othersarrow_forward
- THE WEIGHT OF THE UNBALANCED WHEEL IS 200 KG AND IT HS A RADIUS OF GYRATION ABOUT ITS MASS CENTER, G, OF 0.3 METERS. AT THE INSTANT SHOWN IT IS ROTATING AT 6 RAD/SIN A CLOCKWISE DIRECTION. FIND THE FORCES BETWEEN AT THE PIVOT POINT C. Please include a Free Body Diagramarrow_forwardThe 110-kg wheel has a radius of gyration about its center O of ko = 220 mm, and radius r = 0.4 m. When the wheel is subjected to the constant couple moment M = 63 N•m, it starts rolling from rest. Determine the wheel's angular velocity W (in rad/s) after 6.0 seconds if the wheel has been rolling without slipping. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s². T M Your Answer: Answerarrow_forwardThe uniform 50-kg sphere has radius r = 0.2 m and is welded to the center of the uniform 30-kg shaft as shown. When a constant couple moment M is applied to the shaft, its angular velocity reaches 74 rad/s after 4 s. Determine the magnitude of the moment M. Write your answer in N.m but do not write the units. M R= 0.1 m Taylor e m Te am Answer: Answerarrow_forward
- 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.arrow_forwardThe concrete block weighing 644 lb is elevated by the hoisting mech- anism shown, where the cables are securely wrapped around the re- spective drums. The drums, which are fastened together and turn as a single unit about their mass center at 0, have a combined weight of 322 lb and a radius of gyration about O of 18 in. If a constant tension P = 400 lb is maintained by the power unit at A, determine the vertical acceleration of the block and the resultant force on the bearing at O. Solve using; 24" 12" P = 400 lb (a) Two free body diagrams for concrete block and drum. W = 322 lb ko = 18" (b) One system block diagram ( concrete block and drum as one system). 45° A 644 lbarrow_forwardThe uniform 24-m robotic arm OB weighs 300 kg and is hinged at its lower end to a fixed support at O. If the actuator C develops a starting torque of 1300 N· m, calculate the total force supported by the pin at O as the arm begins to lift off its support at B. Also find the corresponding angular acceleration a of the robotic link. The cable at A is horizontal, and the mass of the pulleys and the actuator is negligible. (see Figure 2) 1200 mm 30° 16 m Figure 2. 8 m Barrow_forward
- At the instant shown, the uniform slender rod with mass m = 31 kg is pin-supported at point O. It is subjected to a counterclockwise moment M = 68 N•m, has a counterclockwise angular velocity of W= 5.3 rad/s, and the dimensions a = 0.10 m and b = 0.65 m. Determine magnitude of the support reaction at point O at this instant. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper unit. Take g = 9.81 m/s2. a Marrow_forwardThe figure shows the cross section of a uniform 239-lb ventilator door hinged about its upper horizontal edge at O. The door is controlled by the spring-loaded cable which passes over the small pulley at A. The spring has a stiffness of 16.6 lb per foot of stretch and is undeformed when 8-0. If the door is released from rest in the horizontal position, determine the maximum angular velocity reached by the door and the corresponding angle 0. Answer: @max 4.2¹ rad/sec at 8-iarrow_forwardThe semicircular disk of mass m = 1.5 kg and radius r = 615 mm is released from rest at θ = 0 and rotates freely in the vertical plane about its fixed bearing at O. Calculate the n- and t-components of the force F on the bearing when θ = 65°. The components Fn and Ft are positive if in the positive n- and t-directions respectively, negative if opposite.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