Engineering Mechanics: Dynamics (14th Edition)
14th Edition
ISBN: 9780133915389
Author: Russell C. Hibbeler
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 17.4, Problem 63P
The spring has a stiffness k = 5 lb · ft/rad, so that the torque developed is M = (5θ) lb · ft, where θ is in radians. If the bar is released from rest when it is vertical at θ = 90°, determine its angular velocity at the instant θ = 45°.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The 213-kg wheel has a radius of gyration about its center O of ko = 240 mm, and
radius r = 0.4 m. When the wheel is subjected to the constant couple moment M =
85 N·m, it starts rolling from rest. Determine the wheel's angular velocity W (in rad/s)
after 4.4 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.
M
Your Answer:
Answer
At the instant shown, link CD rotates with an angular velocity of @, = 8
rad/s. If link CD is subjected to a couple moment of M= 650 lb- ft, determine the
force developed in link AB and the angular acceleration of the links at this instant.
Neglect the weight of the links and the platform. The crate weighs 100 lb and is
fully secured on the platform.
1 ft
4 ft
@CD = 8 rad/s
M = 650 lb-ft
- 3 ft
The cylinder is at rest supported by the spring of stiffness 205 N/m when a torque of 78 Nm is applied as shown.
The mass of the cylinder is 2.5 kg and its radius is 205 mm.
If the wheel rolls without slipping, find the velocity of the centre of the wheel when it has moved a distance 352 mm up the slope with the angle ẞ= 25°.
Chapter 17 Solutions
Engineering Mechanics: Dynamics (14th Edition)
Ch. 17.1 - The rod's density end cross-sectional area. A are...Ch. 17.1 - Determine the mass of the cylinder end its moment...Ch. 17.1 - The nag has a mass m.Ch. 17.1 - Determine the radius of gyration kx. The density...Ch. 17.1 - The specific weight of the material is = 380...Ch. 17.1 - Determine the moment of inertia Iz and express the...Ch. 17.1 - Determine the moment of inertia Ix and express the...Ch. 17.1 - Defending the moment of inertia Iy and express the...Ch. 17.1 - Express the result in terms of the mass m of the...Ch. 17.1 - Determine me radius of gyration of the pendulum...
Ch. 17.1 - Determine the mass moment of inertia of the...Ch. 17.1 - Determine the moment of inertia of the solid steel...Ch. 17.1 - Determine the wheels moment of inertia about an...Ch. 17.1 - If the large ring, small ring and each of the...Ch. 17.1 - The thin plate has a hole in its center its...Ch. 17.1 - The material has a mass per unit area of 20 kg/m2.Ch. 17.1 - The block has a mass of 3 kg and the semicylinder...Ch. 17.1 - The block has a mass of 3 kg and the semicylinder...Ch. 17.1 - The material has a specific weight = 90 lb/ft3.Ch. 17.1 - Prob. 20PCh. 17.1 - Determine the location y of the center of mass G...Ch. 17.1 - The material is steel having a density of = 7.85...Ch. 17.1 - The material is steel having a density of = 7.85...Ch. 17.3 - Draw the free-body and kinetic diagrams of the...Ch. 17.3 - Draw the free-body and kinetic diagrams of the...Ch. 17.3 - Determine the acceleration of the can and the...Ch. 17.3 - If the 80-kg cabinet is allowed to roll down the...Ch. 17.3 - Determine the maximum acceleration of the frame...Ch. 17.3 - Also what is the corresponding normal reaction on...Ch. 17.3 - Determine the tension developed in the rods and...Ch. 17.3 - If it is subjected to a couple moment M = 450 N ...Ch. 17.3 - Determine how far the door moves in 25, starting...Ch. 17.3 - Determine the constant force F that must be...Ch. 17.3 - Initially at take-off the engines provide a thrust...Ch. 17.3 - If it starts from rest it causes the rear wheels...Ch. 17.3 - If the winch at B draws in the cable with an...Ch. 17.3 - Determine the greatest acceleration of the...Ch. 17.3 - Determine the internal axial, shear, and...Ch. 17.3 - If the coefficient of kinetic friction between the...Ch. 17.3 - Determine the reactions at both the wheels at A...Ch. 17.3 - Also, what is the acceleration of the cart? The...Ch. 17.3 - If it is subjected to a horizontal force of P =...Ch. 17.3 - Determine its initial acceleration if a man pushes...Ch. 17.3 - Determine the initial acceleration of a desk when...Ch. 17.3 - Determine the maximum force P that can be applied...Ch. 17.3 - Determine the maximum force P that can be applied...Ch. 17.3 - If it is released from rest, determine the...Ch. 17.3 - It is carried on a truck as shown. Determine the...Ch. 17.3 - It is carried on a truck as shown. If the truck...Ch. 17.3 - Determine the smallest acceleration that will...Ch. 17.3 - The coefficients of static and kinetic friction...Ch. 17.3 - If the collar is given a constant acceleration of...Ch. 17.3 - If it is supported by the cable AB and hinge at C,...Ch. 17.3 - If it is supported by the cable AB and hinge at C,...Ch. 17.3 - If the acceleration is a = 20 ft/s2, determine the...Ch. 17.3 - If h = 3 ft, determine the snowmobiles maximum...Ch. 17.3 - If the carts mass is 30 kg and it is subjected to...Ch. 17.3 - The uniform rod BC has a mass of 15 kg.Ch. 17.3 - If the acceleration of the truck is at = 0.5 m/s2,...Ch. 17.3 - If the angle = 30, determine the acceleration of...Ch. 17.3 - Determine the largest initial angular acceleration...Ch. 17.3 - Determine the initial friction and normal force of...Ch. 17.3 - Determine the largest initial angular acceleration...Ch. 17.3 - Determine the normal force NE, shear force VE, and...Ch. 17.4 - If the wheel starts from rest determine its...Ch. 17.4 - Determine the angular velocity of the disk when t...Ch. 17.4 - Determine the tangential and normal components of...Ch. 17.4 - Determine the tangential and normal components or...Ch. 17.4 - Determine the horizontal and vertical components...Ch. 17.4 - If the rod has a counterclockwise angular velocity...Ch. 17.4 - If the wheel is subjected to a moment M = (5t) N ...Ch. 17.4 - Determine its initial angular acceleration and the...Ch. 17.4 - If it is released from rest when = 0. determine...Ch. 17.4 - If it is released from rest in the position shown,...Ch. 17.4 - The reel rests on rollers at A and B and has a...Ch. 17.4 - The spring has a stiffness k = 5 lb ft/rad, so...Ch. 17.4 - The spring has a stiffness k = 5 lb ft/rad, so...Ch. 17.4 - If a force of F=(142)N, where is in radians, is...Ch. 17.4 - If no slipping occurs between them determine the...Ch. 17.4 - Show that IG may be eliminated by moving the...Ch. 17.4 - Treat the beam as a uniform slender rod.Ch. 17.4 - It consists of a 100-kg steel plate AC and a...Ch. 17.4 - It is pin supported at both ends by two brackets...Ch. 17.4 - It is pin supported at both ends by two brackets...Ch. 17.4 - Determine its angular velocity when t = 2 s...Ch. 17.4 - If it is placed on the ground for which the...Ch. 17.4 - Compute the time needed to unravel 5 m of cable...Ch. 17.4 - If the rotor always maintains a constant clockwise...Ch. 17.4 - It is originally spinning at = 40 rad/s. If it is...Ch. 17.4 - It is pin supported at both ends by two brackets...Ch. 17.4 - Disk E has a weight of 60 lb and is initially at...Ch. 17.4 - If the cylinders are released from rest, determine...Ch. 17.4 - If the pulley can be treated as a disk of mass 3...Ch. 17.4 - If the pulley can be treated as a disk of mass M,...Ch. 17.4 - Assume that the board is uniform and rigid, and...Ch. 17.4 - At the instant the rolor is horizontal it has an...Ch. 17.4 - Determine the initial tending moment at the fixed...Ch. 17.4 - Movement is controlled by the electromagnet E,...Ch. 17.4 - If it is rotating in the vertical plane at a...Ch. 17.4 - Determine the angular acceleration of the rod and...Ch. 17.4 - Determine the horizontal and vertical components...Ch. 17.4 - Determine the horizontal and vertical components...Ch. 17.5 - If the powder burns at a constant rate of 20 g/s...Ch. 17.5 - Determine the acceleration of the bars mass center...Ch. 17.5 - Determine the acceleration of its mass center and...Ch. 17.5 - When the wheel is subjected to the couple moment,...Ch. 17.5 - Determine the angular acceleration of the sphere...Ch. 17.5 - If the couple moment is applied to the spool and...Ch. 17.5 - If the rod is released from rest at = 0,...Ch. 17.5 - rolls without slipping, show that when moments are...Ch. 17.5 - If it is initially at rest and is subjected to a...Ch. 17.5 - The uniform 150-lb beam is initially at rest when...Ch. 17.5 - If the coefficients of static and kinetic friction...Ch. 17.5 - If the coefficients of static and kinetic friction...Ch. 17.5 - If the coefficients of static and kinetic friction...Ch. 17.5 - Solve Prob.17-96 if the cord and force P = 50 N...Ch. 17.5 - If the coefficients of static and kinetic friction...Ch. 17.5 - If a horizontal force of F = 80 N is applied to...Ch. 17.5 - If slipping does not occur, determine the rings...Ch. 17.5 - Neglect the thickness of the ring.Ch. 17.5 - Using a collar of negligible mass, its end A is...Ch. 17.5 - If the pin is connected to a track which is giver...Ch. 17.5 - Assume the roller to be a uniform cylinder and...Ch. 17.5 - Also, find the angular acceleration of the roller....Ch. 17.5 - Determine the bars initial angular acceleration...Ch. 17.5 - Solve Prob.17-106 if the roller is removed and the...Ch. 17.5 - If the coefficient of static friction at A is s, =...Ch. 17.5 - If the truck has an acceleration of 3 m/s2...Ch. 17.5 - A cord is wrapped around the periphery of the disk...Ch. 17.5 - If the coefficient of static friction at A is s =...Ch. 17.5 - At this instant the center of gravity of the...Ch. 17.5 - Determine the initial angular acceleration of the...Ch. 17.5 - Determine the time before it starts to roll...Ch. 17.5 - If they are released from rest determine the...Ch. 17.5 - Determine the normal force which the path exerts...Ch. 17.5 - If it is originally at rest while being supported...Ch. 17.5 - If the pin support at A suddenly fails, determine...Ch. 17.5 - Determine its angular acceleration.Ch. 17.5 - If the coefficient of kinetic friction between the...Ch. 17.5 - Determine the normal reactions at each of the...Ch. 17.5 - Determine the internal axial force Ex, shear force...Ch. 17.5 - Determine the maximum acceleration it can have if...Ch. 17.5 - The roil rest against a wall for which the...Ch. 17.5 - Determine the magnitude of force F and the initial...Ch. 17.5 - Compute the reaction at the pin O just after the...Ch. 17.5 - if the coefficient of kinetic friction at the...Ch. 17.5 - The coefficient of kinetic friction is A = 0.3.
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
- R18-6. At the instant shown, the 50-lb bar rotates clockwise at 2 rad/s. The spring attached to its end always remains vertical due to the roller guide at C. If the spring has an unstretched length of 2 ft and a stiffness of k = 6 lb/ft, determine the angular velocity of the bar the instant it has rotated 30° clockwise. 4 ft 2 rad/s 6 ftarrow_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_forwardIn the figure, rod AB has a mass of 10 kg, and must slide within the slots as shown. If the spring is unstretched when θ = 0°, determine the angular velocity of the bar when it reaches that angle after being released from θ = 30°.arrow_forward
- The 153-kg wheel has a radius of gyration about its center of mass O of kO = 283 mm. If it rotates counterclockwise at an angular speed of 1431 rev/min and the tension force applied to the braking band at A is TA = 1771N,a) Determine the angular acceleration, in rad/s2, so that the wheel comes to rest in 67.6 revolutions after TA and TB are applied.arrow_forwardIf P = 30 lb, determine the angular acceleration of the 50-lb roller. Assume the roller to be a uniform cylinder and that no slipping occursarrow_forwardThe wheel is spinning about shaft ABAB with an angular velocity of ωs=10rad/sωs=10rad/s, which is increasing at a constant rate of ω˙2=6rad/s2ω˙2=6rad/s2, while the frame precesses about the zzz axis with an angular velocity of ωp=12rad/sωp=12rad/s, which is increasing at a constant rate of ω˙p=3rad/s2ω˙p=3rad/s2. Determine the velocity of point CC located on the rim of the wheel at this instant. Determine the acceleration of point CC located on the rim of the wheel at this instant.arrow_forward
- 1- The bucket is hoisted by the rope that warps around a drum wheel. If the angular displacement of the wheel is 9 =(3t2-7t) rad, where t is in seconds, determine the velocity and acceleration of the bucket when t= 5 secarrow_forward18–2. A force of P = 20 N is applied to the cable, which causes the 175-kg reel to turn since it is resting on the two rollers A and B of the dispenser. Determine the angular velocity of the reel after it has made two revolutions starting from rest. Neglect the mass of the rollers and the mass of the cable. The radius of gyration of the reel about its center axis is 30° 250 mm kG = 0.42 m. OG 500 mm -400 mm-arrow_forwardThe wheel has a mass of 100 kg and a radius of gyration of kO = 0.2 m. A motor supplies a torque M = (40u + 900) N #m, where u is in radians, about the drive shaft at O. Determine the speed of the loading car, which has a mass of 300 kg, after it travels s = 4 m. Initially the car is at rest when s = 0 and u = 0°. Neglect the mass of the attached cable and the mass of the car’s wheelsarrow_forward
- 4. The 10-kg rod AB is pin-connected at A and subjected to a couple moment of M = 15 Nm. If the rod is released from rest when the spring is unstretched at 8 = 30°, determine the angular velocity of the rod at the instant 0 = 60°. Thanks to the roller support at C, the spring always remains horizontal when the rod rotates. A O k= 40 N/m M=15 N·m 0.75 marrow_forwardA drum with a radius of 0.5 ft has a weight of 90 lb and a radius of gyration ko = 0.3 ft. A weightless cable is wrapped around the drum and rotates it clockwise. If the cable is being pulled by a force P = 15 lb, determine the time needed to increase the drum's angular velocity from w1 = 6 rad/s to wz = 24 rad/s. 0.5 ftarrow_forwardAt the instant shown, the spring is undeformed. Determine the change in potential energy if the 20 kg disk (radius of gyration = 0.5 m) rolls 2 revolutions without slipping. Note that the shown velocity vector refers to the translation of the centre of the wheel. Choices are in image.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
Power Transmission; Author: Terry Brown Mechanical Engineering;https://www.youtube.com/watch?v=YVm4LNVp1vA;License: Standard Youtube License