Engineering Mechanics: Dynamics (14th Edition)
14th Edition
ISBN: 9780133915389
Author: Russell C. Hibbeler
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 19.4, Problem 33P
The 80-kg man is holding two dumbbells while standing on a turntable of negligible mass which turns freely about a vertical axis. When his arms are fully extended the turntable is rotating with an angular velocity of 0.5 rev/s. Determine the angular velocity of the man when he retracts his arms to the position shown. When his arms are fully extended, approximate each arm as a uniform 6-kg rod having a length of 650 mm, and his body as a 68-kg solid cylinder of 400-mm diameter. With his arms in the retracted position, assume the man is an 80-kg solid cylinder of 450-mm diameter Each dumbbell consists of two 5-kg spheres of negligible size.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The mass of gear A is 25 kg and its centroidal radius of gyration is 105 mm. The mass of gear B is 13 kg and its centroidal radius
of gyration is 85 mm. Calculate the angular acceleration of gear B when a torque of 16 N-m is applied to the shaft of gear A.
Neglect friction. The angular acceleration is positive if counterclockwise, negative if clockwise.
TA = 165 mm
TB = 125 mm
The speed of the pickup truck’s engine is controlled by the Porter governor with 4 arms of equal length, and pivot on the axis of rotation. Each ball has a mass of 4 kg and the mass of the central load on the sleeve is 20 kg. The radius of rotation of the ball is 150 mm when the governor begins to lift, and 200 mm when the governor is at maximum speed. The initial angular speed of the engine’s crank is 14 rad/s, and it has reached a maximum speed at an acceleration of 0.4 rad/s2 after 5 seconds.a) If the speed of the crank of an engine is equal to the speed of its governor, calculate the angle between the upper arm and axis of rotation (?) when the governor starts to lift and when it is at maximum speed.b) Prove that the length of the governor’s arms is equal
2. The uniform bar of mass 5-kg and a length of 0.5 m is balanced in the vertical position when a
horizontal force of P = 20 N is applied to the roller at A. Determine the bar's initial angular
acceleration and the acceleration of its top point B.
B
Chapter 19 Solutions
Engineering Mechanics: Dynamics (14th Edition)
Ch. 19.2 - Determine the angular momentum of the 100-kg disk...Ch. 19.2 - Determine the angular impulse about point O for t...Ch. 19.2 - If it is subjected to a couple moment of M = (3t2)...Ch. 19.2 - The 300-kg wheel has a rad1us of gyration about...Ch. 19.2 - If rod OA of negligible mass is subjected lo the...Ch. 19.2 - Gears A and B of mass 10 kg and 50 kg have radii...Ch. 19.2 - The 50-kg spool is subjected to a horizontal force...Ch. 19.2 - The reel has a weight of 150 lb and a radius of...Ch. 19.2 - The rigid body (slab) has a mass m and rotates...Ch. 19.2 - At a given Instant, the body has a linear momentum...
Ch. 19.2 - Show that if a slab is rotating about a fixed axis...Ch. 19.2 - The 40-kg disk is rotating at = 100 rad/s. When...Ch. 19.2 - The Impact wrench cons1sts of a slender 1-kg rod...Ch. 19.2 - The airplane is traveling in a straight line with...Ch. 19.2 - The double pulley consists of two wheels which are...Ch. 19.2 - The assembly weighs 10 lb and has a radius of...Ch. 19.2 - The disk has a weight of 10 lb and is pinned at...Ch. 19.2 - The 30-kg gear A has a radius of gyration about...Ch. 19.2 - Determine the angular velocity of the pulley when...Ch. 19.2 - The 40-kg roll of paper rests along the wall where...Ch. 19.2 - The slender rod has a mass m and is suspended at...Ch. 19.2 - The rod of length L and mass m lies on a smooth...Ch. 19.2 - A 4-kg disk A is mounted on arm BC. which has a...Ch. 19.2 - The frame of a tandem drum roller has a weight of...Ch. 19.2 - The 100-lb wheel has a radius of gyration of kG =...Ch. 19.2 - The 4-kg slender rod rests on a smooth floor If it...Ch. 19.2 - The double pulley consists of two wheels which are...Ch. 19.2 - The 100-kg spool is resting on the inclined...Ch. 19.2 - The spool has a weight of 30 lb and a radius of...Ch. 19.2 - The two gears A and B have weights and radii of...Ch. 19.2 - The hoop (thin ring) has a mass of 5 kg and is...Ch. 19.2 - The 30-kg gear is subjected to a force of P =...Ch. 19.2 - The 30-lb flywheel A has a radius of gyration...Ch. 19.2 - If the shaft is subjected to a torque of M = (...Ch. 19.2 - The double pulley consists of two wheels which are...Ch. 19.2 - The crate has a mass mc. Determine the constant...Ch. 19.4 - The turntable T of a record player has a mass of...Ch. 19.4 - The 10-g bullet having a velocity of 800 m/s is...Ch. 19.4 - The 10-g bullet having a velocity of 800 m/s is...Ch. 19.4 - The circular disk has a mass m and is suspended at...Ch. 19.4 - The 80-kg man is holding two dumbbells while...Ch. 19.4 - The platform swing consists of a 200-lb flat plate...Ch. 19.4 - The 2-kg rod ACB supports the two 4-kg disks at...Ch. 19.4 - The satellite has a mass of 200 kg and a radius of...Ch. 19.4 - Disk A has a weight of 20 lb. An inextensible...Ch. 19.4 - The plank has a weight of 30 lb, center of gravity...Ch. 19.4 - The 12-kg rod AB is pinned to the 40-kg disk. If...Ch. 19.4 - A thin rod of mass m has an angular velocity o...Ch. 19.4 - Tests of impact on the fixed crash dummy are...Ch. 19.4 - The vertical shaft is rotating with an angular...Ch. 19.4 - The mass center of the 3-lb ball h3s a velocity of...Ch. 19.4 - Prob. 44PCh. 19.4 - The 10-lb block is sliding on the smooth surface...Ch. 19.4 - Determine the height hat which a billiard ball of...Ch. 19.4 - The pendulum consists of a 15-kg solid ball and...Ch. 19.4 - The 4-lb rod AB is hanging in the vertical...Ch. 19.4 - Determine the largest angular velocity 1 the disk...Ch. 19.4 - The solid ball of mass m is dropped with a...Ch. 19.4 - The wheel has a mass of 50 kg and a radius of...Ch. 19.4 - The wheel has a mass of 50 kg and a radius of...Ch. 19.4 - The rod of mass m and length L is released from...Ch. 19.4 - Prob. 55PCh. 19.4 - A ball having a mass of 8 kg and initial speed of...Ch. 19.4 - A solid ball with a mass m is thrown on the ground...Ch. 19.4 - The pendulum consists of a 10-lb solid ball and...Ch. 19.4 - The cable is subjected to a force of P = (10t2)...Ch. 19.4 - The space capsule has a mass of 1200 kg and a...Ch. 19.4 - The tire has a mass of 9 kg and a rad1us of...Ch. 19.4 - The wheel having a mass of 100 kg and a radius of...Ch. 19.4 - The spool has a weight of 30 lb and a radius of...Ch. 19.4 - Spool B is at rest and spool A is rotating at 6...Ch. 19.4 - A thin disk of mass m has an angular velocity 1...Ch. 19.4 - Prob. 8RP
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
- The mass of gear A is 25 kg and its centroidal radius of gyration is 105 mm. The mass of gear B is 13 kg and its centroidal radius of gyration is 85 mm. Calculate the angular acceleration of gear B when a torque of 16 N·m is applied to the shaft of gear A. Neglect friction. The angular acceleration is positive if counterclockwise, negative if clockwise..arrow_forwardThe 17-kg wheel is rolling under the constant moment of M = 85 N-m. The wheel has radius r= 0.50 m, has mass center at point G, and the radius of gyration is kg = 0.20 m. The coefficients of friction between the wheel and the ground is ls = 0.27 and Hk; = 0.22. If the wheel rolls while slipping, determine the angular acceleration of the wheel (in rad/s?). 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/s?. M Garrow_forwardThe 10-kg wheel is rolling under the constant moment of M = 97 N-m. The wheel has radius r= 0.59 m, has mass center at point G, and the radius of gyration is kg = 0.27 m. The coefficients of friction between the wheel and the ground is ls = 0.25 and Hk = 0.14. If the wheel rolls while slipping, determine the magnitude of the linear acceleration of point G (in m/s2). 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/s?. M Garrow_forward
- An elongated rod of mass 4-kg has a mass of 2-kg at point A to a block moving vertically, 4-kg at point B pinned to a massive disk. The disc rotates without rolling, It is assumed that the block also moves in a frictionless channel. Please pay. The mechanism is released when stationary at θ=60º. Find the angular velocity of the rod when θ=0º.arrow_forwardThe slotted circular disk whose mass is 4.9 kg has a radius of gyration about O of 230 mm. The disk carries the four steel balls, each of mass 0.17 kg and located as shown, and rotates freely about a vertical axis through O with an angular speed of 164 rev/min. Each of the small balls is held in place by a latching device not shown. If the balls are released while the disk is rotating and come to rest relative to the disk at the outer ends of the slots, compute the new angular speed N of the disk. Also find the magnitude |AE| of the energy loss due to the impact of the balls with the ends of the slots. Neglect the diameter of the balls and discuss this approximation. 164 rev/min 145 mm 305 mmarrow_forwardThe slotted circular disk whose mass is 4.9 kg has a radius of gyration about O of 230 mm. The disk carries the four steel balls, each of mass 0.17 kg and located as shown, and rotates freely about a vertical axis through O with an angular speed of 164 rev/min. Each of the small balls is held in place by a latching device not shown. If the balls are released while the disk is rotating and come to rest relative to the disk at the outer ends of the slots, compute the new angular speed N of the disk. Also find the magnitude |ΔE| of the energy loss due to the impact of the balls with the ends of the slots. Neglect the diameter of the balls and discuss this approximation.arrow_forward
- The 13-kg wheel is rolling under the constant moment of M= 89 N·m. The wheel has radius r= 0.47 m, has mass center at point G, and the radius of gyration is kG = 0.28 m. The coefficients of friction between the wheel and the ground is ls = 0.26 and uk = 0.15. If the wheel rolls while slipping, determine the angular acceleration of the wheel (in rad/s2). 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: Answerarrow_forwardRod AB of the mechanism rotates clockwise with a constant angularvelocity of 20 rad/s. Determine the total kinetic energy of the mechanism in the position shown. The mass of each bar is 3 kg/m.arrow_forwardQuestion 2 The speed of the pickup truck’s engine is controlled by the Porter governor with 4 arms of equal length, and pivot on the axis of rotation. Each ball has a mass of 4 kg and the mass of the central load on the sleeve is 20 kg. The radius of rotation of the ball is 150 mm when the governor begins to lift, and 200 mm when the governor is at maximum speed. The initial angular speed of the engine’s crank is 14 rad/s, and it has reached a maximum speed at an acceleration of 0.4 rad/s2 after 5 seconds.2(a). If the speed of the crank of an engine is equal to the speed of its governor, calculate the angle between the upper arm and axis of rotation (?) when the governor starts to lift and when it is at maximum speed. 2(b). Prove that the length of the governor’s arms is equal.arrow_forward
- A locomotive consists of multi cylinder reciprocating engine running at a speed of 8 r.p.s having a stroke length of 29cm, which carries a mass of reciprocating part whose magnitude is 11kgs with a revolving part of 5kgs rotating at 17cm radius. If two third of the reciprocating parts and all the revolving parts are to be balanced, determine the following when the crank has rotated 500 from top dead centre to bottom dead centre. 1. Maximum primary unbalanced force of reciprocating mass in newtons 2. Balancing mass required at a radius of 41cm in kgs 3. Variation of maximum & minimum tractive force in newtons 4. Variation of maximum & minimum swaying couple for the given centre distance 76cm between the two cylinders in (N-m) 5. Magnitude of Hammer…arrow_forwardThe 21-kg wheel has a radius of gyration about its center O of ko =260 mm, and radius r = 0.5 m. When the wheel is subjected to the constant force F = 247 N, applied to the wheel's center axle at an angle = 6°, it starts rolling from rest. Determine the wheel's angular velocity W (in rad/s) after 4.0 seconds if the wheel has been rolling without slipping. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point. Take g = 9.81 m/s². Your Answer: G Answer r 0 Farrow_forwardThe 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: Answerarrow_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
EVERYTHING on Axial Loading Normal Stress in 10 MINUTES - Mechanics of Materials; Author: Less Boring Lectures;https://www.youtube.com/watch?v=jQ-fNqZWrNg;License: Standard YouTube License, CC-BY