Engineering Mechanics: Dynamics Study (Book and Pearson eText)
14th Edition
ISBN: 9780134116990
Author: Russell C. Hibbeler
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 21.6, Problem 67P
To determine
The rate of precession.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Determine the rate of spin if both panels are raised and reach the upward position, θ = 0∘∘, at the same instant
Determine the velocities on the center point C and the point E on a rim of the disk if (a) it slip at point A (b) it doesn't slip at point A.
a gyroscope is made from a wheel mounted horizontally on a light axle (see figure). The axle pivots freely at one end, which is l =0.100m from the centre of the wheel. The wheel is a uniform disk with a radius of R=0.204m and mass M and rotates at angular speed ? =28.1s^-1 in the direction shown.
Calculate the precession speed Ω. Express your answer as a positive number if the precession is anticlockwise viewed from above (i.e. the gyroscope initially moves away from you) and as a negative number otherwise.
Chapter 21 Solutions
Engineering Mechanics: Dynamics Study (Book and Pearson eText)
Ch. 21.1 - Show that the sum of the moments of inertia of a...Ch. 21.1 - Determine the moment of inertia of the cone with...Ch. 21.1 - Determine moment of inertia Iy of the solid formed...Ch. 21.1 - Determine the moments of inertia Ix and Iy of the...Ch. 21.1 - The density of the material is . Express the...Ch. 21.1 - Prob. 6PCh. 21.1 - Prob. 7PCh. 21.1 - Prob. 8PCh. 21.1 - The weight of the cone is 15 lb, the height is h =...Ch. 21.1 - The density of the material is .
Ch. 21.1 - Prob. 11PCh. 21.1 - Determine the moment of inertia Ixx of the...Ch. 21.1 - Determine the product of inertia Iyz of the...Ch. 21.1 - Prob. 14PCh. 21.1 - Prob. 15PCh. 21.1 - Determine the moment of inertia of the rod about...Ch. 21.1 - Prob. 17PCh. 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 - Prob. 24PCh. 21.3 - The large gear has a mass of 5 kg and a radius of...Ch. 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 - Prob. 32PCh. 21.3 - The 20-kg sphere rotates about the axle with a...Ch. 21.3 - The 200-kg satellite has its center of mass at...Ch. 21.3 - Prob. 35PCh. 21.3 - Prob. 36PCh. 21.3 - Prob. 37PCh. 21.3 - Prob. 38PCh. 21.3 - Prob. 39PCh. 21.3 - Prob. 40PCh. 21.4 - Derive the scalar form of the rotational equation...Ch. 21.4 - Prob. 42PCh. 21.4 - Prob. 43PCh. 21.4 - Prob. 44PCh. 21.4 - The disk has a weight of 15 lb. Neglect the weight...Ch. 21.4 - Prob. 46PCh. 21.4 - Prob. 47PCh. 21.4 - Prob. 48PCh. 21.4 - Prob. 49PCh. 21.4 - Prob. 50PCh. 21.4 - Prob. 51PCh. 21.4 - The 5-kg circular disk is mounted off center on a...Ch. 21.4 - Prob. 53PCh. 21.4 - Prob. 54PCh. 21.4 - Prob. 55PCh. 21.4 - The 4-kg slender rod AB is pinned at A and held at...Ch. 21.4 - Prob. 57PCh. 21.4 - Prob. 58PCh. 21.4 - Prob. 59PCh. 21.4 - Show that the angular velocity of a body, in terms...Ch. 21.4 - Prob. 61PCh. 21.6 - The gyroscope consists of a uniform 450-g disk D...Ch. 21.6 - Prob. 63PCh. 21.6 - Prob. 64PCh. 21.6 - Prob. 65PCh. 21.6 - When viewed from the front of the airplane, the...Ch. 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
- Given that P = 50N, and the rod has mass = 0.370 kg with centroidal mass moment of inertia l = 37/19200 kg-m²:a. Which of the equations given in the second image can be used to solve for the angular acceleration of rod BD?b. What is the angular acceleration of rod BD?arrow_forwardTHE 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_forwardWind energy is gaining increased attention, generating an increased interest in windmill technology. Because windmill blades (vanes) rotate about a central axis, one of the most important physical properties of a windmill is its moment of inertia. Given is a picture of a typical windmill, where the geometry and center of mass of one of the vanes is illustrated. The mass of each vane is 411 kg. The distance from the center of mass of the vane to axis B is ?1=2.85 m. The distance from the center of mass of the vane to the center of the windmill hub is ?2=4.42 m. If the moment of inertia of a vane about axis A is 445 kg·m2 and about axis B is 10800 kg·m2, calculate the moment of inertia ?total of the entire assembly about the axis that passes through the windmill's hub and is perpendicular to the screen. (Ignore the hub and assume the vanes are flat.)arrow_forward
- An aeroplane makes a complete half circle of 70 metres radius, towards left, when flying at 500 km per hr. The rotary engine and the propeller of the plane has a mass of 600 kg and a radius of gyration of 0.3 m. The engine rotates at 2500 r.p.m. clockwise when viewed from the rear. Find the gyroscopic couple on the aircraft.arrow_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 following figure shows a top view of a spinning, cylindrical gyroscope wheel. The pivot is at O, and the mass of the axle is negligible. Use ?=2.9cm and ?=3cm. a. As seen from above, is the precession clockwise or counterclockwise? b. If the gyroscope precesses at 1.7 revolution per second, what is the angular speed of the wheel in revolution per minute? Insert your answer correct up to at least a third decimal place.arrow_forward
- A mass of 500 kg is being lifted at uniform speed of 1.5 m/s by a winch driven by a motor running at a speed of 1000 r/min. The moments of inertia of the motor and winch are 0.5 and 0.3 kg^2, respectively. In the absence of the mass, the motor develops a torque of 100 Nm at a speed of 1000 r/min. Calculate a) the equivalent moment of inertia referred to the motor side; b) the motor torque.arrow_forwardAssuming there is no slippage for the belt assembly below, Determine the following: (a) What is the angular velocity of each pulley if the belt has a constant speed of 5 m/s? What is the frequency and the period of each pulley? (b) What is the average angular velocity of each pulley if the rope accelerates from 5 m/s to 10 m/s in 10 s? How many revolutions does the pulley turn in that time? R 1 = 0.3 mR 2 = 0.2 mR 3 = 0.1 marrow_forwardA stepped cylinder has the dimensions R₁ = 0.30 m, R₂ = 0.65 m, and the radius of gyration, k, is 0.35 m. The mass of the stepped cylinder is 100 kg. Weights A and B are connected to the cylinder. If weight B has a mass of 80 kg, and weight A has a mass of 50 kg, how far does A move in 5 seconds? In which direction does it move? (Draw all FBDs)arrow_forward
- The diagram shows a torque angle diagram for a certain machine. The speed of the shaft must be maintained between 490 and 510 RPm. determine 1) greatest fluctuation in energy 2) moment of inertia of the suitable flywheel 3) the mass required if the radius of gyration is 0.3marrow_forwardA 50 N force is applied 50 cm from the axis of rotation of a rigid body. The body starts from rest and completes 5 revolutions in 2.5 s. Calculate the Moment of Inertia of the body.arrow_forwardA disk with mass m = 6.5 kg and radius R = 0.39 m hangs from a rope attached to the ceiling. The disk spins on its axis at a distance r = 1.32 m from the rope and at a frequency f = 18.9 rev/s (with a direction shown by the arrow). what is the torque due to gravity on the disk? what is the period of precession for this gyroscope? what is the direction of precession of the gyroscope?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
Understanding Thermal Radiation; Author: The Efficient Engineer;https://www.youtube.com/watch?v=FDmYCI_xYlA;License: Standard youtube license