EP ENGR.MECH.:DYNAMICS-STANDALONE ACC.
14th Edition
ISBN: 9780133976601
Author: HIBBELER
Publisher: PEARSON CO
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 19.4, Problem 57P
A solid ball with a mass m is thrown on the ground such that at the instant of contact it has an angular velocity ω1 and velocity components (vG)x1 and (vG)y1 as shown. If the ground is rough so no slipping occurs, determine the components of the velocity of its mass center just after impact. The coefficient of restitution is e.
Prob.19–57
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Problem 18-58
1.2 m
0
60°
18-59. The arm and seat of the amusement-park ride have a mass of 1.5 Mg, with the center of
mass located at point G₁. The passenger seated at A has a mass of 125 kg, with the center of
mass located at G₂. If the arm is raised to a position where 0 = 150° and released from rest,
determine the speed of the passenger at the instant 0=0". The arm has a radius of gyration of
KG 12 m about its center of mass G₁. Neglect the size of the passenger.
Determine the velocity of the 58.4-kg cylinder after it has descended a distance
of 1.9 m, starting from rest. Gear A has a mass of 10 kg and a radius of gyration
of 125 mm about its center of mass. Gear B and drum C have a combined mass
of 30 kg and a radius of gyration about their center of mass of 150 mm.
150 mm
200 mm
-100 mm
D
The 11-kg homogeneous plank of length L = 9.4 m and width d = 0.5 m rotates about trestle A
and strikes trestle B without rebounding. If the angular velocity of the plank, just before the
impact, is 2 rad/s clockwise, determine the angular speed of the plank just after impact. The
distances from the tips of the plank to the trestles are al and bL, where a = 0.11 and b = 0.33.
bl
L(1 -a - b)
al
L(1 – a – b)
A
B
Chapter 19 Solutions
EP ENGR.MECH.:DYNAMICS-STANDALONE ACC.
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 1-kg slender bar has a length of L = 1 m and released from rest in the horizontal position 1 and falls to position 2. What is the velocity of the mass center of the bar when it is in position 2?. Larrow_forwardA stone D of mass mp = 2 kg strikes the uniform slender rod ABC of mrod = 10 kg with a velocity of Vp = 11 m/s. If the stone remains attached to the rod, determine the angular velocity of the rod just after impact and the maximum angle of swing before the rod momentarily stops. The stone has a negligible size. D 300 mm В A 800 mm 400 mmarrow_forwardThe 10-kg bar is released from rest in the horizontal position 1 and falls to position 2. The unstretched length of the spring is 0.2 m and the spring constant is k = 40 N/m. What will be the bar's angular velocity when it is in position 2. -0.6 m www 60° 2arrow_forward
- is pin supported at its center. The 30-kg disk shown in: Determine the angle through which it must rotate to attain an angular velocity of 2 rad/s starting from rest. It is acted upon by a constant couple moment M = 5 N m. The spring is orginally unstretched and its cord wraps around the rim of the disk. -M 5 N m 0.2 m ans: 13.9° k = 10 N/marrow_forward19-57. A solid ball with a mass m is thrown on the ground such that at the instant of contact it has an angular velocity w, and velocity components (vG),1 and (v),1 as shown. If the ground is rough so no slipping occurs, determine the components of the velocity of its mass center just after impact. The coefficient of restitution is e. (NG, (VGaarrow_forward19-49. The hammer consists of a 10-kg solid cylinder C and 6-kg uniform slender rod AB. If the hammer is released from rest when e = 90° and strikes the 30-kg block D when e = 0°, determine the velocity of block D and the angular velocity of the hammer immediately after the impact. The coefficient of restitution between the hammer and the block is e = 0.6. 500 mm 100 mm 150 mm 50 mmarrow_forward
- A string is wrapped around the inner hub of a 'yo-yo' and is fixed at A. The yo-yo has a mass of 4 kg and a mass moment of inertia Ig = 0.06 kgm². If the yo-yo is released from rest, determine the velocity of G after it drops 2 m. What would be the velocity of G if the yo-yo fell 2 m without being attached by the string at A? A 4 kg IG = 0.06 kgm? %3D 80 mm 200 mmarrow_forwardThe velocity of the 10.0 kg cylinder is 0.4 m/s at a certain instant. What is its speed v after dropping an additional 1.7 m? The mass of the grooved drum is 18 kg, its centroidal radius of gyration is k = 210 mm, and the radius of its groove is 200 mm. The frictional moment at O is a constant 3.0 N·m ri = C m k r₁ = 200 mm ro= = 300 mmarrow_forward19–34. The platform swing consists of a 200-lb flat plate suspended by four rods of negligible weight. When the swing is at rest, the 150-lb man jumps off the platform when his center of gravity G is 10 ft from the pin at A. This is done with a horizontal velocity of 5 ft/s, measured relative to the swing at the level of G. Determine the angular velocity he imparts to the swing just after jumping off. 10 ft 11 ft 4 ft-arrow_forward
- k = 75 lb/ft www 0.375 ft 0.75 ft the 309-lb block is released from rest when the spring is undeformed, determine the velocity of the block after it has fallen 15 ft. Express your answer in ft/s. The pulley has a weight of 45 lb and a radius of gyration of kO = 0.5 ft about its center of mass at O.arrow_forwardThe 4-kg bar is released from rest in the horizontal position 1 and falls to position 2. The unstretched length of the spring is 0.4 m and the spring constant is k = 20 N/m. What is the magnitude of the bar's angular velocity when it is in position 2. -0.6 m- www 1 -1 m- 60° 2arrow_forwardThe homogeneous, solid ball of mass m is launched on the inclined plane at time t = 0 with the forward speed of 3 m/s and no spin. The kinetic coefficient of friction between the ball and the plane is 0.15. Calculate the time when the ball stops slipping on the plane and the magnitude of angular velocity of the ball at that time. y 0.2 m/ Vo = 3 m/s m 20° Hx=0.15arrow_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
How to balance a see saw using moments example problem; Author: Engineer4Free;https://www.youtube.com/watch?v=d7tX37j-iHU;License: Standard Youtube License