Vector Mechanics For Engineers
12th Edition
ISBN: 9781259977237
Author: BEER
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 18.3, Problem 18.141P
To determine
The largest value of the angle
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A massless string is wound around a solid cylinder that has a radius of 0.18 m and a mass of 27.23 kg. The free end of the string is tied to a block of mass 3.06 kg which hangs straight down. At t=0, the cylinder is allowed to spin about an axis through its center and the block falls, unwinding the string. Assume that the cylinder spins without friction.What is the acceleration of the block?
I'm struggling to find the right angular acceleration of the pulley. I'm using Newton's second law for rotation, but I think I'm missing something. The only torque I have acting on the pulley is from the tension, but I know that the tension must be less than mg because the block is accelerating downward. How do I find the tension force of the string in a dynamic pulley system?
(I asked this question before, and the expert got confused about the no friction thing, but I'm pretty sure that just means that the pulley rotates around the pivot without friction. There is still friction between the pulley…
HW1
A uniform disc of 220 mm in diameter has a mass of 3.5 kg. It is mounted
centrally in bearings that maintain its axle horizontally. The disc spins about its
axle with a constant speed of 750 r.p.m. while the axle precesses uniformly about
the vertical at 25 r.p.m. The directions of rotation are shown in the figure below.
If the distance between the bearings is 200 mm, find the resultant reaction at each
bearing due to the mass and gyroscopic effects.
40
+X
+Z
Q7. The spring shown in Figure Q7 below has an un-stretched length of
0.8 m and a stiffness of 60 Nm ¹. The 20 kg solid disc (which is free to
rotate about its centre C) has a radius of gyration kg = 0.2 m. It is
released from rest in the upper position.
When the disc passes through the lowest (dashed) position, calculate
(a)
the total work done on the system,
(b)
(c)
the total change in kinetic energy of the system in terms of the
angular velocity of the disc, and
applying the principles of conservation of work and energy
evaluate the magnitude of the angular velocity of of the disc.
0.3 m
2 m
wwww
no slip
Figure Q7
0.8 m
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 30-kg disk A is attached to one end of a spring with stiffness k = 200 N/m at its center G. The other end of the spring is fixed at A. The disk is initially at rest with the spring unstretched. A couple moment of M = 80 Nm is then applied to the disk causing the disk to roll to the left without sliding. Consider the duration of motion when the disk rolls from the position shown (Position 1) to a position (Position 2) when its mass center G has moved 0.5 m to the left. M = 80 N·m 1.875w2^2 3.75w2^2 5.63w2^2 7.50w2^2 0.5 m G k = 200 N/m A 1. Which of the following forces do/does negative work on the disk? I. Applied couple II. Force exerted by the spring III. Normal force IV. Friction between the disk and the horizontal surface 2. Which of the following equations gives the total kinetic energy of the disk at position 2 in terms of its angular velocity, w2? Oarrow_forwardA 30-kg disk A is attached to one end of a spring with stiffness k = 200 N/m at its center G. The other end of the spring is fixed at A. The disk is initially at rest with the spring unstretched. A couple moment of M = 80 Nm is then applied to the disk causing the disk to roll to the left without sliding. Consider the duration of motion when the disk rolls from the position shown (Position 1) to a position (Position 2) when its mass center G has moved 0.5 m to the left. M = 80 N·m 0.5 m G k = 200 N/m 3. Which of the following gives the closest value of the work done by the spring from position 1 to position 2? 4. Which of the following gives the closest value of the work done by the applied couple from position 1 to position 2? -80 Nm -40 Nm 40 Nm 80 Nm ♦ A O 25 Nm -25 Nm 50 Nm -50 Nmarrow_forwardA spinning top consists of a ring (which can be treated as a cylindrical shell) of mass m = 0.52 kg and a radius of 60 mm is mounted on its central pointed shaft with spokes. The spokes and pointed shaft have negligible mass meaning that their inertia can be neglected. The top has a spin velocity of 10,000 rev/min and is released on a horizontal surface with the point at O remaining at a fixed point. Assuming that the spin angular velocity is high when compared to the precession, determine the magnitude of the precession angular velocity of the top. 15° 60 mm 80 mm 10000 rev/min O 1.2 rad/sec 0.6 rad/sec 0.2 rad/sec 2.1 rad/secarrow_forward
- A spinning top consists of a ring (which can be treated as a cylindrical shell) of mass m = 0.52 kg and a radius of 60 mm is mounted on its central pointed shaft with spokes. The spokes and pointed shaft have negligible mass meaning that their inertia can be neglected. The top has a spin velocity of 10,000 rev/min and is released on a horizontal surface with the point at O remaining at a fixed point. Assuming that the spin angular velocity is high when compared to the precession, determine the magnitude of the precession angular velocity of the top. 15° 60 mm 80 mm 10000 rev/minarrow_forwardCan you help with this one?arrow_forwardQuestion 2: A point-mass M of mass m is tied to a string which winds around a cylinder like a bobbin. The string is pinned on the cylinder at some point, and P denotes the point at which the string leaves the bobbin and starting from which it is taut. The cylinder has radius a and rotates at a constant rate around the vertical axis of the fixed frame F (which is also the axis of symmetry of the bobbin). The motion takes place in the hori- zontal plane, which is assumed frictionless. See figure. (a) Find a relationship between l, a and expressing that the length of the string is constant (b) Compute the velocity and acceleration of point M with respect to F. (c) Apply LMB in F to the system consisting of the point mass M alone (don't forget to start with a free body diagram!). Deduce a differential equation for l as well as the value of the string's tension in terms of the other parameters. (d) (bonus) Solve the differential equation for l. eo Ω Mas P M FIGURE 1 - The spinning bobbin.…arrow_forward
- A drum can rotate about a fixed-point O. The A block is attached to a cord wrapping around the drum. The mass of the drum is md = 100kg and the radius is r = 0.5 m. The radius of gyration of the drum about point O is ko=0.3 m. The mass of the block is mb= 20kg. The block is released from rest. The acceleration due to gravity g=9.81 m/s2 . (2) ) If the mass moment of inertia of the drum about point O is IO, and the angular acceleration of the drum is α, select the correct moment equation of the whole drum-block system about the point O._____________ A. mbgr=rmb(rα) B. 0 C. mbgr=Ioα +rmb(rα) D. mbgr=Ioαarrow_forwardWhat is the kinetic energy of the following system? Masses m₁ and m₂ are suspended by inextensible strings from the ends of bar B and rotate angles 0₁ and 82, as shown. The bar (length 2) is free to rotate angle a about a horizontal axis, as shown. Its mass moment of inertia about this axis of rotation is I. 772₁ T₁ 771arrow_forwardA drum can rotate about a fixed-point O. The A block is attached to a cord wrapping around the drum. The mass of the drum is md = 100kg and the radius is r = 0.5 m. The radius of gyration of the drum about point O is ko=0.3 m. The mass of the block is mb= 20kg. The block is released from rest. The acceleration due to gravity is g=9.81 m/s2. (3) Calculate the angular acceleration of the drum α= ________ (rad/s2) (two decimal places)arrow_forward
- A drum can rotate about a fixed-point O. The A block is attached to a cord wrapping around the drum. The mass of the drum is md = 100kg and the radius is r = 0.5 m. The radius of gyration of the drum about point O is ko=0.3 m. The mass of the block is mb= 20kg. The block is released from rest. The acceleration due to gravity is g=9.81 m/s2. (1) Calculate the mass moment of inertia of the drum about the point O, IO_______(kgm2) (two decimal places)arrow_forwardA drum can rotate about a fixed-point O. The A block is attached to a cord wrapping around the drum. The mass of the drum is md = 100kg and the radius is r = 0.5 m. The radius of gyration of the drum about point O is ko=0.3 m. The mass of the block is mb= 20kg. The block is released from rest. The acceleration due to gravity is g=9.81 m/s2. (1) Calculate the mass moment of inertia of the drum about the point O, IO_______(kgm2) (two decimal places)arrow_forwardA drum can rotate about a fixed-point O. The A block is attached to a cord wrapping around the drum. The mass of the drum is md = 100kg and the radius is r = 0.5 m. The radius of gyration of the drum about point O is ko=0.3 m. The mass of the block is mb= 20kg. The block is released from rest. The acceleration due to gravity is g=9.81 m/s2. (3) Calculate the angular acceleration of the drum α= ________ (rad/s2) (two decimal places)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
moment of inertia; Author: NCERT OFFICIAL;https://www.youtube.com/watch?v=A4KhJYrt4-s;License: Standard YouTube License, CC-BY