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 19.2, Problem 22P
The two gears A and B have weights and radii of gyration of WA = 15 lb, kA = 0.5 ft and WB = 10 lb, kB = 0.35 ft, respectively. If a motor transmits a couple moment to gear B of M = 2(1 – e –0.5t) lb · ft, where t is in seconds. Determine the angular velocity of gear A in t = 5 s, starting from rest.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Determine the angular velocity of gear AA in t = 3 s , measured counterclockwise, starting from rest
in the figure the wheel D rotates with an angular velocity ω1 of 2 rad/s counterclockwise. Find the angular velocity ωE of the toothed wheel E with respect to the ground at the instant shown in the diagram.Note: Solve bar AB and sprocket E by IC method and re-solve it again by the realtive method of velocities.
If collar B is moving downwards at vg = 2.3 m/s, determine the angular speed of the gear which is pin connected to the
fixed point at O and free to rotate. The radius of the gear is r=0.3 m and the length of link AB is indicated on the figure.
Hìnt: Consider using the IC method.
!i!
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
- In the four-bar mechanism below, link 2 is rotating CCW at the rate of 4 rad/s (constant). In the position shown, link 2 is horizontal and link 4 is vertical. Determine the angular velocity of links 3 and 4. 1.0 in В 2 0.75 in 3 Link lengths: AB = 1.25 in, BC = 2.5 inarrow_forwardEHide bl For a short time, gear A of the automobile starter rotates with an angular acceleration ofaA = where t is in seconds. Determine the angular velocity and angular displacement of gear B when t = 2s, starting from rest. The radii of gears A and B are rA = 10 mm and rB = 450t2 60t rad/s?, 15 mm, respectively. Select one: O A. WB = 3648 rad/s; and 0R = 3584 rad O B. wB = 1512 rad/s: and 0R = 1107 rad OC.wB = 528 rad/s: and OR = 288 rad O D.wB =720 rad/s: and 0R = 346.7 radarrow_forward(Three-Dimensional Motion) The figure below represents a pair of bevel gears A and B. Gear A rotates in ahorizontal plane about a vertical axis at O. Gear B rotates around the shaft OC which in turn rotates about the terminal axis at O. determine the angular accelera tion of gear B when gear A is stationary and member OC has an angular velocity of 10j rad/sec and and angular acceleration of 25j rad/sec2 .arrow_forward
- Due to the rotation of the screw E, the actuator provides a linear movement to the arm F when the motor turns the pinion A. The gears have the radii shown in the figure, and the screw E has a pitch p = 1.6 mm. Pinion A starts from rest and rotates with an angular acceleration of a = 2t+0.8 rad/s2 until it reaches an angular speed of w = 59 rad/s which is then held constant Poradio men D B TA 10 mm TB = 50 mm rc = 15 mm TD = 60 mm F Note: The screw pitch indicates the distance the arm advances per revolution. Determine: a) The time it takes for pinion A to reach its maximum angular velocity b) The maximum speed of the arm F in mm/s c) The number of revolutions of the screw while accelerating d) The displacement of the arm F (in mm) when 10 seconds have elapsedarrow_forwardFor a short time, gear A of the automobile starter rotates with an angular acceleration of A=4502-60 rad/s², where t is in seconds. Determine the angular velocity of gear 8 when t= 4s, starting from rest. The radii of gears A and B are r = 10 mm and rg = 25 mm, respectively. Select one: A w = 432 rad/s B. WB 1548 rad/s C. wp-3744 rad/s Dwp-528 rad/s B Finish attempt...arrow_forwardThe rod AB has a mass of 36 kg and a length of 1.9m. The spring is unstretched when 0- 45°. The spring constant k is 226 N/m. B Find the angular velocity of rod AB at 0 - 0. if the rod is released from rest when 0. 45°. Give your answer with 2 decimals.arrow_forward
- There are two adjacent gears A and B, with 23 and 42 teeth respectively. Initially, both gears are only rotating, with A rotating clockwise with angular velocity 1 rad/s, and B rotating counterclockwise. When making complex decisions, gear A's angular speed increases while gear B maintains its angular speed. As a result, gear A rolls without slipping around the circumference of gear B. If it takes 1 second for gear A to complete 1 revolution around gear B, then what's the new angular velocity of gear A? Answer in rad/s and 3 Significant Figures. Make sure to use the proper sign convention (CW : - :: CCW : +).arrow_forwardIn the mechanism shown below, the wheel is pinned at the center. The radius from O to C is 0.2 m and link CB is 0.55 m long. CB makes an initial angle of 25° with the horizontal as shown. The hydraulic ram at B is moving left at 7 m/s. At the moment shown, what is the angular velocity of link BC and the wheel pivoted at 0? 0000 Ninbet tatis rad/sarrow_forwardGear A has an initial angular velocity of 60 rad/sec and a constant angular deceleration of 1.2 rad/sec². When t = 3 sec, calculate the magnitude of deceleration of the block hoisted by the hub on gear Present your answer in ft/sec² using 3 significant figures. B. m 1 ft A 2 ft 0.5 ft Barrow_forward
- The 250 g disk shown spins at the rate w1 = 750 rpm, while axle AB rotates as shown with an angular velocity ω2 of 6 rad/s. Find the Kinetic energy of the disk with this information.arrow_forwardwrite the answer. show the soluion #12arrow_forwardProblem 3 If link AB is rotating at AB 6 rad/s, determine the angular velocities of links BC and CD at the 60°. instant 0 = B 250 mm 30° A WA8 = 6 rad/s 300 mm C A 400 mm Darrow_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
Power Transmission; Author: Terry Brown Mechanical Engineering;https://www.youtube.com/watch?v=YVm4LNVp1vA;License: Standard Youtube License