VEC MECH 180-DAT EBOOK ACCESS(STAT+DYNA)
12th Edition
ISBN: 9781260916942
Author: BEER
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 18.1, Problem 18.37P
(a)
To determine
Prove that
(b)
To determine
Show that the angle
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Four masses A, B, C and D are attached to a shaft and revolve in the same plane. The masses are 24 kg, 20 kg, 21 kg, and 18 kg, respectively and their radii of rotations are 50 cm, 50 cm, 60 cm and 30 cm. the angular position of the masses B, C, and D are 60º, 135º and 270º from the mass A. the shaft is rotating with a constant angular speed ω = 500 rpm.
We need to find :
1. The magnitude and direction of the resultant inertia force before balancing
2. The magnitude and direction of the balancing mass at a radius of 10 cm
The magnitude of the resultant force, in Newton, before balancing is =
The direction of resultant force before balancing measured in degree CCW from the mass A is =
The magnitude of the balancing mass in kg is =
The direction of the balancing mass measured in degree CCW from the mass A is =
the magnitude of resultant force after balancing is =
Rod OA rotates counterclockwise at a constant angular rate θ˙ = 4 rad/s. The double collar B is pin-connected together such that one collar slides over the rotating rod and the other collar slides over the circular rod described by the equation r=(1.6cosθ)m. Both collars have a mass of 0.7 kg . Motion is in the horizontal plane. (Figure 1)
Rod OA rotates counterclockwise at a constant angular
rate 0-4 rad/s. The double collar B is pin-connected
together such that one collar slides over the rotating rod
and the other collar slides over the circular rod described
by the equation r= (1.6 cos 6) m. Both collars have a
mass of 0.65 kg. Motion is in the vertical plane.
(Figure 1)
Figure
r=1.6 cos 9.
0-4 rad/s
0.8 m
1 of 1
Part A
Determine the magnitude of the force which the circular rod exerts on one of the collars at the instant 0=45
Express your answer to three significant figures and include the appropriate units.
▸ View Available Hint(s)
F= Value
Submit
μÁ
Part B
Previous Answers
Units
X Incorrect; Try Again; 5 attempts remaining
Determine the magnitude of the force that OA exerts on the other colar at the instant @-45.
Express your answer to three significant figures and include the appropriate units.
View Available Hint(s)
Chapter 18 Solutions
VEC MECH 180-DAT EBOOK ACCESS(STAT+DYNA)
Ch. 18.1 - A thin, homogeneous disk of mass m and radius r...Ch. 18.1 - Prob. 18.2PCh. 18.1 - Prob. 18.3PCh. 18.1 - A homogeneous disk of weight W = 6 lb rotates at...Ch. 18.1 - A homogeneous disk of mass m = 8 kg rotates at the...Ch. 18.1 - A solid rectangular parallelepiped of mass m has a...Ch. 18.1 - Prob. 18.8PCh. 18.1 - Determine the angular momentum HD of the disk of...Ch. 18.1 - Prob. 18.10PCh. 18.1 - Determine the angular momentum HO of the disk of...
Ch. 18.1 - Prob. 18.12PCh. 18.1 - Prob. 18.13PCh. 18.1 - Two L-shaped arms each have a mass of 5 kg and are...Ch. 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. 18.20PCh. 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 - A circular plate of mass m is falling with a...Ch. 18.1 - Prob. 18.30PCh. 18.1 - Prob. 18.31PCh. 18.1 - Determine the impulse exerted on the plate of...Ch. 18.1 - The coordinate axes shown represent the principal...Ch. 18.1 - Prob. 18.34PCh. 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 - Determine the kinetic energy of the solid...Ch. 18.1 - Prob. 18.45PCh. 18.1 - Determine the kinetic energy of the disk of Prob....Ch. 18.1 - Determine the kinetic energy of the assembly of...Ch. 18.1 - Determine the kinetic energy of the shaft of Prob....Ch. 18.1 - Prob. 18.49PCh. 18.1 - Prob. 18.50PCh. 18.1 - Determine the kinetic energy lost when edge C of...Ch. 18.1 - Prob. 18.52PCh. 18.1 - Prob. 18.53PCh. 18.1 - Determine the kinetic energy of the space probe of...Ch. 18.2 - Determine the rate of change HG of the angular...Ch. 18.2 - Prob. 18.56PCh. 18.2 - Determine the rate of change HG of the angular...Ch. 18.2 - Prob. 18.58PCh. 18.2 - Prob. 18.59PCh. 18.2 - Determine the rate of change HG of the angular...Ch. 18.2 - Prob. 18.61PCh. 18.2 - Determine the rate of change HD of the angular...Ch. 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 - Prob. 18.66PCh. 18.2 - The assembly shown consists of pieces of sheet...Ch. 18.2 - The 8-kg shaft shown has a uniform cross-section....Ch. 18.2 - Prob. 18.69PCh. 18.2 - Prob. 18.70PCh. 18.2 - Prob. 18.71PCh. 18.2 - Knowing that the plate of Prob. 18.66 is initially...Ch. 18.2 - Prob. 18.73PCh. 18.2 - The shaft of Prob. 18.68 is initially at rest ( =...Ch. 18.2 - The assembly shown weighs 12 lb and consists of 4...Ch. 18.2 - Prob. 18.76PCh. 18.2 - Prob. 18.79PCh. 18.2 - Prob. 18.80PCh. 18.2 - Prob. 18.81PCh. 18.2 - Prob. 18.82PCh. 18.2 - The uniform, thin 5-lb disk spins at a constant...Ch. 18.2 - The essential structure of a certain type of...Ch. 18.2 - A model of a type of crusher is shown. A disk of...Ch. 18.2 - Prob. 18.86PCh. 18.2 - Prob. 18.87PCh. 18.2 - The 2-lb gear A is constrained to roll on the...Ch. 18.2 - Prob. 18.89PCh. 18.2 - Prob. 18.90PCh. 18.2 - 18.90 and 18.91The slender rod AB is attached by a...Ch. 18.2 - The essential structure of a certain type of...Ch. 18.2 - The 10-oz disk shown spins at the rate 1 = 750...Ch. 18.2 - Prob. 18.94PCh. 18.2 - Prob. 18.95PCh. 18.2 - Two disks each have a mass of 5 kg and a radius of...Ch. 18.2 - Prob. 18.97PCh. 18.2 - Prob. 18.98PCh. 18.2 - A thin disk of mass m = 4 kg rotates with an...Ch. 18.2 - Prob. 18.101PCh. 18.2 - Prob. 18.102PCh. 18.2 - A 2.5-kg homogeneous disk of radius 80 mm rotates...Ch. 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. 18.3 - A uniform thin disk with a 6-in. diameter is...Ch. 18.3 - A uniform thin disk with a 6-in. diameter is...Ch. 18.3 - Prob. 18.109PCh. 18.3 - The top shown is supported at the fixed point O...Ch. 18.3 - Prob. 18.111PCh. 18.3 - Prob. 18.112PCh. 18.3 - Prob. 18.113PCh. 18.3 - A homogeneous cone with a height of h = 12 in. and...Ch. 18.3 - Prob. 18.115PCh. 18.3 - Prob. 18.116PCh. 18.3 - Prob. 18.117PCh. 18.3 - The propeller of an air boat rotates at 1800 rpm....Ch. 18.3 - Prob. 18.119PCh. 18.3 - Prob. 18.120PCh. 18.3 - Prob. 18.121PCh. 18.3 - Prob. 18.122PCh. 18.3 - Prob. 18.123PCh. 18.3 - A coin is tossed into the air. It is observed to...Ch. 18.3 - Prob. 18.125PCh. 18.3 - Prob. 18.126PCh. 18.3 - Prob. 18.127PCh. 18.3 - Prob. 18.128PCh. 18.3 - Prob. 18.129PCh. 18.3 - Prob. 18.130PCh. 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 - A homogeneous disk with a radius of 9 in. is...Ch. 18.3 - The top shown is supported at the fixed point O....Ch. 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 - Consider a rigid body of arbitrary shape that is...Ch. 18.3 - Prob. 18.144PCh. 18.3 - Prob. 18.145PCh. 18 - Three 25-lb rotor disks are attached to a shaft...Ch. 18 - Prob. 18.148RPCh. 18 - Prob. 18.149RPCh. 18 - A uniform rod of mass m and length 5a is bent into...Ch. 18 - Prob. 18.151RPCh. 18 - Prob. 18.152RPCh. 18 - Prob. 18.153RPCh. 18 - Prob. 18.154RPCh. 18 - Prob. 18.155RPCh. 18 - The space capsule has no angular velocity when the...Ch. 18 - A homogeneous rectangular plate of mass m and...Ch. 18 - The essential features of the gyrocompass are...
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 wheel with a radius of 1.86 m and a mass of 0.242 kg rolls without sliding down a plane that is inclined at an angle φ = 21 °. g = 9,806 m/s². Calculate the kinetic energy of the wheel after the time 0.862 s if it has a moment of inertia 1.59 kg · m², starts from rest and a force acts on the wheel so that its angular velocity varies with time according to ω(t) = 1.98 · t^2 rad/s .arrow_forwardA pulley of radius r=67 cm is mounted on a frictionless horizontal axle passing through point O. The moment of inertia of the pulley with respect to point O is l=4.1 kg-m2. A massless cord wrapped around the pulley is attached to a m=6.1 kg block that slides on a horizontal frictionless surface. If a horizontal force of magnitude F=141 N is applied to the block, what is the acceleration of the block? Assume the cord does not slip on the pulley. Round your answer to one decimal place. r, I m Farrow_forwardJ 6arrow_forward
- Five masses A, B, C , D and E are attached to a shaft and revolve in the different planes . The masses(B,C and D) are 60 kg, 50 kg, 70 kg . Their radius of rotations are 0. 5m. The angular position of the masses (B, C and D) are 600 , 900 and 2100 from mass A. Planes B,C,D and E 60cm ,120cm,200 cm,225cm from mass A Find the magnitude and position of the balancing mass for (A and E) ?arrow_forwardTwo flywheels are pinned to opposite ends of a metal bar. The smaller flywheel has a mass of 40 kg and a radius of 0.25 m. The larger flywheel has a mass of 275 kg and a radius of 1.75 m. The bar has a mass of 2 kg and a length of 3 m. A wooden plate acts as a ripcord by temporarily pressing it against the flywheels and rapidly translating it to the left at v = angular velocity of 25 rad/s and the large flywheel has an angular velocity of 3.5714285714286 rad/s. The flywheel-bar assembly is then set on frictionless ice such that the axes of rotation are perpendicular to the ice surface. 6.25 m/s. The plate is removed when the small flywheel has an The flywheel pins have Hk = 0.05, which eventually causes the flywheels to stop spinning relative to the metal bar. Angular momentum is conserved, so the whole assembly continues spinning as a rigid body about the center of mass. What is the final angular velocity of the assembly? rad/s. The flywheels and bar rotate about their combined center…arrow_forwardA homogeneous disk of weight W= 6 lb rotates at the constant rate @₁-17.8 rad/s with respect to arm ABC, which is welded to a shaft DCE rotating at the constant rate @2= 8.9 rad/s. Determine the angular momentum HA of the disk about its center A. resin. A 9 in The angular momentum HA of the disk about its center A is HA ( lb-ft-s)i + ([ lb-ft-sjarrow_forward
- I need the answer as soon as possiblearrow_forwardA 500 ? force is applied to a roller with a mass of 50 ?? as shown. Assuming that the roller is a uniform cylinder and there is no slipping, determine the angular velocity of the roller.arrow_forward3. A thin piece of metal of mass 80 g has the cross section shown in Fig. 17. Find the moment and products of inertia for the axes Ox and Oy. Through what angles must these axes be rotated to coincide with the principal axes? Suppose the body is rotating at a given instant about the Ox axis with an angular velocityarrow_forward
- 2. A mass of 2 kg is placed on a bar at a distance of r = 1 m from the point 0. Initially, the bar is in a stationary state, as shown in the figure below. At t = 0, the bar starts a counter clockwise rotation around the point O at a constant angular acceleration of 1 rad/s?. It is known that the mass can stop on the bar without sliding until 0 = 30°. Based on these givens, please answer the following questions. a. What is the static friction coefficient between the mass and the bar? b. When the sliding starts, will the mass be moving towards the origin or away from the origin? 1 rad/s? 2 kg r = 1marrow_forwardTwo blocks 1 and 2 are connected by a rope over a pulley as shown. The pulley is very light (massless) and rotates with essentially no friction. Calculate the mass of block 1, m1, given that the mass of block 2 is m2=5.5 kg and that block 2 moves and accelerates downwards at 3.57 m/s2 when θ=35∘ and μk=0.4. I think that I need to be using Newtons second law but I just dont know how to solve this. Can you please help?arrow_forwardA shaft carries four masses A,B,C and D of magnitude 220 kg, 320 kg, 420 kg and 220 kg respectively and revolving at radii 9cm, 7cm, 6 cm and 8cm in planes measured from A at 30cm, 45cm and 60cm. The angles between the cranks measured from A anticlockwise are 45°, 90° and 130°. The balancing masses are to be placed in planes X and Y. The distance between the planes A and X is 20cm, between X and Y is 50cm. If the balancing masses revolve at a radius of 15cm, find their magnitudes and angular positions.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
Dynamics - Lesson 1: Introduction and Constant Acceleration Equations; Author: Jeff Hanson;https://www.youtube.com/watch?v=7aMiZ3b0Ieg;License: Standard YouTube License, CC-BY