Vector Mechanics For Engineers
12th Edition
ISBN: 9781259977305
Author: BEER, Ferdinand P. (ferdinand Pierre), Johnston, E. Russell (elwood Russell), Cornwell, Phillip J., SELF, Brian P.
Publisher: Mcgraw-hill Education,
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 18.1, Problem 18.12P
To determine
(a)
The projectile’s rate of spin.
To determine
(b)
The projectile’s rate of precession.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The space capsule has no angular velocity when the jet at A is activated for 1 s in a direction parallel to the axis. Knowing that the capsule has a mass of 1000 kg, that its radii of gyration are Kz=Ky =1.00m and Kz=1.25m A produces a thrust of 50 N, determine the axis of precession and the rates of precession and spin after the jet has stopped.
A disk with radius R and mass m begins from rest and then moves without slipping while being
pulled horizontall by a force P acting at its center axle. Show that the velocity of the wheel after
T seconds is v= 2PT/3m. (Hint: use both linear and angular-impulse principles.)
m
REG
P
¹The radius of gyration has units of length and is related to the inertia by k = IG/m. It corresponds to the
distance at which a mass equivalent to the mass of the rigid body would produce the same inertia as the actual rigid
body. Recall that the inertia of a particle of mass m at a distance r from an axis of ortation is mr². Rather that using r
the convention is to define the radus of gyration with the symbol k.
A 5.32-kg disk A of radius 0.445 m initially rotating counter-clockwise at 436 rev/min is engaged with a
6.72-kg disk B of radius 0.275 m initially rotating clockwise at 528 rev/min, where the moment of inertia of
a disk is given as I = ½ mi?. Determine their combined angular speed (in rpm) and direction of rotation
after the meshing of the two disks. Remember to show clearly the equations that you use!!'
Chapter 18 Solutions
Vector Mechanics For Engineers
Ch. 18.1 - Prob. 18.1PCh. 18.1 - Prob. 18.2PCh. 18.1 - Prob. 18.3PCh. 18.1 - A homogeneous disk of weight W=6 lb rotates at the...Ch. 18.1 - Prob. 18.5PCh. 18.1 - A solid rectangular parallelepiped of mass m has a...Ch. 18.1 - Solve Prob. 18.6, assuming that the solid...Ch. 18.1 - Prob. 18.8PCh. 18.1 - Determine the angular momentum HD of the disk of...Ch. 18.1 - Prob. 18.10P
Ch. 18.1 - Prob. 18.11PCh. 18.1 - Prob. 18.12PCh. 18.1 - Prob. 18.13PCh. 18.1 - Prob. 18.14PCh. 18.1 - Prob. 18.15PCh. 18.1 - For the assembly of Prob. 18.15, determine (a) the...Ch. 18.1 - Prob. 18.17PCh. 18.1 - Determine the angular momentum of the shaft of...Ch. 18.1 - Prob. 18.19PCh. 18.1 - Prob. 18.20PCh. 18.1 - Prob. 18.21PCh. 18.1 - Prob. 18.22PCh. 18.1 - Prob. 18.23PCh. 18.1 - Prob. 18.24PCh. 18.1 - Prob. 18.25PCh. 18.1 - Prob. 18.26PCh. 18.1 - Prob. 18.27PCh. 18.1 - Prob. 18.28PCh. 18.1 - Prob. 18.29PCh. 18.1 - Prob. 18.30PCh. 18.1 - Prob. 18.31PCh. 18.1 - Prob. 18.32PCh. 18.1 - Prob. 18.33PCh. 18.1 - Prob. 18.34PCh. 18.1 - Prob. 18.35PCh. 18.1 - Prob. 18.36PCh. 18.1 - Prob. 18.37PCh. 18.1 - Prob. 18.38PCh. 18.1 - Prob. 18.39PCh. 18.1 - Prob. 18.40PCh. 18.1 - Prob. 18.41PCh. 18.1 - Prob. 18.42PCh. 18.1 - Determine the kinetic energy of the disk of Prob....Ch. 18.1 - Prob. 18.44PCh. 18.1 - Prob. 18.45PCh. 18.1 - Prob. 18.46PCh. 18.1 - Prob. 18.47PCh. 18.1 - Prob. 18.48PCh. 18.1 - Prob. 18.49PCh. 18.1 - Prob. 18.50PCh. 18.1 - Prob. 18.51PCh. 18.1 - Prob. 18.52PCh. 18.1 - Determine the kinetic energy of the space probe of...Ch. 18.1 - Prob. 18.54PCh. 18.2 - Determine the rate of change H.G of the angular...Ch. 18.2 - Prob. 18.56PCh. 18.2 - Determine the rate of change H.G of the angular...Ch. 18.2 - Prob. 18.58PCh. 18.2 - Prob. 18.59PCh. 18.2 - Prob. 18.60PCh. 18.2 - Prob. 18.61PCh. 18.2 - Prob. 18.62PCh. 18.2 - Prob. 18.63PCh. 18.2 - Prob. 18.64PCh. 18.2 - A slender, uniform rod AB of mass m and a vertical...Ch. 18.2 - A thin, homogeneous triangular plate of weight 10...Ch. 18.2 - Prob. 18.67PCh. 18.2 - Prob. 18.68PCh. 18.2 - Prob. 18.69PCh. 18.2 - Prob. 18.70PCh. 18.2 - Prob. 18.71PCh. 18.2 - Prob. 18.72PCh. 18.2 - Prob. 18.73PCh. 18.2 - Prob. 18.74PCh. 18.2 - Prob. 18.75PCh. 18.2 - Prob. 18.76PCh. 18.2 - Prob. 18.77PCh. 18.2 - Prob. 18.78PCh. 18.2 - Prob. 18.79PCh. 18.2 - Prob. 18.80PCh. 18.2 - Prob. 18.81PCh. 18.2 - Prob. 18.82PCh. 18.2 - Prob. 18.83PCh. 18.2 - Prob. 18.84PCh. 18.2 - Prob. 18.85PCh. 18.2 - Prob. 18.86PCh. 18.2 - Prob. 18.87PCh. 18.2 - Prob. 18.88PCh. 18.2 - Prob. 18.89PCh. 18.2 - The slender rod AB is attached by a clevis to arm...Ch. 18.2 - The slender rod AB is attached by a clevis to arm...Ch. 18.2 - Prob. 18.92PCh. 18.2 - The 10-oz disk shown spins at the rate 1=750 rpm,...Ch. 18.2 - Prob. 18.94PCh. 18.2 - Prob. 18.95PCh. 18.2 - Prob. 18.96PCh. 18.2 - Prob. 18.97PCh. 18.2 - Prob. 18.98PCh. 18.2 - Prob. 18.99PCh. 18.2 - Prob. 18.100PCh. 18.2 - Prob. 18.101PCh. 18.2 - Prob. 18.102PCh. 18.2 - Prob. 18.103PCh. 18.2 - A 2.5-kg homogeneous disk of radius 80 mm rotates...Ch. 18.2 - For the disk of Prob. 18.99, determine (a) the...Ch. 18.2 - Prob. 18.106PCh. 18.3 - Prob. 18.107PCh. 18.3 - A uniform thin disk with a 6-in. diameter is...Ch. 18.3 - Prob. 18.109PCh. 18.3 - Prob. 18.110PCh. 18.3 - Prob. 18.111PCh. 18.3 - A solid cone of height 9 in. with a circular base...Ch. 18.3 - Prob. 18.113PCh. 18.3 - Prob. 18.114PCh. 18.3 - Prob. 18.115PCh. 18.3 - Prob. 18.116PCh. 18.3 - Prob. 18.117PCh. 18.3 - Prob. 18.118PCh. 18.3 - Show that for an axisymmetric body under no force,...Ch. 18.3 - Prob. 18.120PCh. 18.3 - Prob. 18.121PCh. 18.3 - Prob. 18.122PCh. 18.3 - Prob. 18.123PCh. 18.3 - Prob. 18.124PCh. 18.3 - Prob. 18.125PCh. 18.3 - Prob. 18.126PCh. 18.3 - Prob. 18.127PCh. 18.3 - Prob. 18.128PCh. 18.3 - An 800-lb geostationary satellite is spinning with...Ch. 18.3 - Solve Prob. 18.129, assuming that the meteorite...Ch. 18.3 - Prob. 18.131PCh. 18.3 - Prob. 18.132PCh. 18.3 - Prob. 18.133PCh. 18.3 - Prob. 18.134PCh. 18.3 - Prob. 18.135PCh. 18.3 - Prob. 18.136PCh. 18.3 - Prob. 18.137PCh. 18.3 - Prob. 18.138PCh. 18.3 - Prob. 18.139PCh. 18.3 - Prob. 18.140PCh. 18.3 - Prob. 18.141PCh. 18.3 - Prob. 18.142PCh. 18.3 - Prob. 18.143PCh. 18.3 - Prob. 18.144PCh. 18.3 - Prob. 18.145PCh. 18.3 - Prob. 18.146PCh. 18 - Prob. 18.147RPCh. 18 - Prob. 18.148RPCh. 18 - A rod of uniform cross-section is used to form the...Ch. 18 - A uniform rod of mass m and length 5a is bent into...Ch. 18 - Prob. 18.151RPCh. 18 - Prob. 18.152RPCh. 18 - A homogeneous disk of weight W=6 lb rotates at the...Ch. 18 - Prob. 18.154RPCh. 18 - Prob. 18.155RPCh. 18 - Prob. 18.156RPCh. 18 - Prob. 18.157RPCh. 18 - Prob. 18.158RP
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
- A homogeneous disk of mass m = 4 kg rotates at the constant rate wi = 12 rad/s with respect to arm OA, which itself rotates at the constant rate wz = 4 rad/s about the y- axis, determine: 1. Angular momentum of the disk about point A. 2. Angular momentum of the disk about point O. 3. The force-couple system representing the dynamic reactions at the support. Neglect the mass of of arm OA. 320 min 200 mm T = 100 mmarrow_forwardIn the helicopter shown; a vertical tail propeller is used to pre- vent rotation of the cab as the speed of the main blades is changed. Assuming that the tail propeller is not operating determine the final angular velocity of the cab after the speed of the main blades has been changed from I80 to 240 rpm. (The speed of the main blades is measured relative to the cab, and the cab has a centroidal moment of inertia of 650 lb.ft.s2. Each of the four main blades is assumed to be a slender rod 14 ft weighing 55 lb.)arrow_forwardA half-cylinder with mass m and radius r is released from rest in the position shown. Knowing that the half-cylinder rolls without sliding, determine (a ) its angular velocity after it has rolled through 90°, (b ) the reaction at the horizontal surface at the same instant. [Hint: Not that GO = 4r/3 π and that, by the parallel-axis theorem,arrow_forward
- A 320-lb satellite has a radius of gyration of 36 in. about the y-axis and is symmetric about the zx-plane. Its orientation is changed by firing four small rockets A, B, C, and D, each of which produces a 7-lb thrust force T directed as shown. Determine the angular acceleration of the satellite when all four rockets are fired. C T N y B 32 in. TD T A T xarrow_forward12. Bicycle Wheel. A simple bicycle wheel composed of a tire of mass 2.00 kg and radius 0.600 m and 12 radial spokes each of mass 0.100 kg is lain flat on the ground and allowed to spin about its center such that the tire is moving at v = 5.00 m/s. A rock of mass 0.800 kg moving at 3.00 m/s hits one of spokes perpendicularly and at a distance of 0.200 m away from the center, as shown in the figure. If the rock sticks to the spoke and the wheel continues to rotate about its center, find the resultant angular velocity of the wheel-rock combination.arrow_forwardA homogeneous disk of mass m = 5 kg rotates at the constant rate w1 = 8 rad/s with respect to the bent axle ABC, which itself rotates at the constant rate w2, = 3 rad/s about the y axis. Determine the angular momentum HC of the disk about its center C.arrow_forward
- A thin, homogeneous disk of mass m and radius r spins at the constant rate w about an axle held by a fork-ended vertical rod that rotates at the constant rate w2. Determine the angular momentum HG of the disk about its mass center G.arrow_forwardModel the arm ABC as a single rigid body. Its mass is 320 kg, and the moment of inertia about its center of mass is | = 390 kg-m². Starting from rest with its center of mass 1.4 m above the ground (position 1), the ABC is pushed upward by the hydraulic cylinders. When it is in the position shown (position 2), the arm has a counterclockwise angular velocity of 1.0 rad/s. How much work do the hydraulic cylinders do on the arm in moving it from position 1 to position 2? Th -1.80 m -1.40 m- B 0.30 m 0.80 m 0.70 m 2.25 m Carrow_forwardThe 10-oz disk shown spins at the rate w1= 750 rpm, while axle AB rotates as shown with an angular velocity w2 of magnitude 6 rad/s. Determine the dynamic reactions at A and B.arrow_forward
- A 1.6-kg tube AB can slide freely on rod DE which in turn can rotate freely in a horizontal plane. Initially the assembly is rotating with an angular velocity of magnitude w = 5 rad/s and the tube is held in position by a cord. The moment of inertia of the rod and bracket about the vertical axis of rotation is 0.30 kg.m2 and the centroidal moment of inertia of the tube about a vertical axis is 0.0025 kg.m2If the cord suddenly breaks, determine (a) the angular velocity of the assembly after the tube has moved to end E, (b) the energy lost during the plastic impact at E.arrow_forwardA homogeneous disk of weight W= 6 lb rotates at the constant rate W1= 16 rad/s with respect to arm ABC,which is welded to a shaft DCE rotating at the constant rate w 2= 8 rad/s. Determine the angular momentum HA of the disk about its center A.arrow_forward4. Each of the gears A and B has a mass of 2.4 kg and a radius of gyration of 60 mm, while gear C has a mass of 12 kg and a radius of gyration of 150 mm. A couple M of constant magnitude 10 Nm is applied to gear C. Determine (a) the number of revolutions of gear C required for its angular velocity to increase from 100 to 450 rpm, (b) the corresponding tangential force acting on gear A. В S0 mm, S0 mm 200 mm. 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
Dynamics - Lesson 1: Introduction and Constant Acceleration Equations; Author: Jeff Hanson;https://www.youtube.com/watch?v=7aMiZ3b0Ieg;License: Standard YouTube License, CC-BY