![College Physics](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
thumb_up100%
![Consider the rectangular block of mass, M = 2Kg and length L = 2m. Two cylindrical disks
(each disk has mass m = 1Kg, radius 0.2 m, velocity of 10 m/s and angular velocity of 250
rad/s) simultaneously hit and get embedded into opposite ends of the bar as shown in the
figure. What is the final
(a) Linear velocity (Vf) of the system after the collision.
(b) Angular velocity (wt) of the system after the collision.
HINT: Consider carefully all directions mentioned in the figure.
Consider angular momentum about the point "“O". Note the contribution due to both the
"spinning" and translation of the disks.
"spinning" and translation of the disks.
V2 = -10m/s
v Wz = 250Aud /s
M = 2Kg
VF
Wi = 250 nad/s
MWf
V,=10mls
9 =0.2m q](https://content.bartleby.com/qna-images/question/f4f46a7d-33e6-4d1b-8c9b-a4f6142b1fc8/28814ef0-dff6-49ae-b597-f9281dad187a/lfncbzu_thumbnail.png)
Transcribed Image Text:Consider the rectangular block of mass, M = 2Kg and length L = 2m. Two cylindrical disks
(each disk has mass m = 1Kg, radius 0.2 m, velocity of 10 m/s and angular velocity of 250
rad/s) simultaneously hit and get embedded into opposite ends of the bar as shown in the
figure. What is the final
(a) Linear velocity (Vf) of the system after the collision.
(b) Angular velocity (wt) of the system after the collision.
HINT: Consider carefully all directions mentioned in the figure.
Consider angular momentum about the point "“O". Note the contribution due to both the
"spinning" and translation of the disks.
"spinning" and translation of the disks.
V2 = -10m/s
v Wz = 250Aud /s
M = 2Kg
VF
Wi = 250 nad/s
MWf
V,=10mls
9 =0.2m q
Expert Solution
![Check Mark](/static/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 2 steps with 6 images
![Blurred answer](/static/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- A disk of mass m₂ = 70.0 g and radius ₁ = 4.50 cm slides on a frictionless sheet of ice with velocity v, where v = 13.00 m/s, as shown in a top-down view in figure (a) below. The edge of this disk just grazes the edge of a second disk in a glancing blow. The second disk has a mass m₂ = 140 g, a radius r₂ = 6.00 cm, and is initially at rest. As the disks make contact, they stick together due to highly adhesive glue on the edge of each, and then rotate after the collision as shown in figure (b). my 11₂ a (a) What is the magnitude of the angular momentum (in kg m²/s) of the two-disk system relative to its center of mass 3.28E-3 x kg m²/s (b) What is the angular speed (in rad/s) about the center of mass? 70.5 X rad/sarrow_forwardA ring (mass M) and disk (mass M) with radii R rotate in opposite directions.The ring rotates Clockwise with an angular speed 3ω, and the disk rotates Counterclockwise with a speed 2ωThe ring and the disk then "collide" and rotate together with the same ωf. What is the Moment of Inertia of the ring plus disk? What is the Angular velocity, ω of the ring plus disk after the collision?arrow_forwardA diver (m = 60 kg) jumps from a diving board. At takeoff, his angular momentum about the transverse axis is 30 kg⋅m2/s. His radius of gyration about the transverse axis is 0.5 m at this instant. During the dive, he tucks and reduces his radius of gyrations about the transverse axis to 0.2 m. After he tucks the body, what is his angular velocity about the transverse axis?arrow_forward
- A point mass m1 = 0.020 kg located at the top corner of a smooth hemispherical bowl m, R. of radius R = 0.450 m is released from rest and hits another point mass m2 = 0.010 kg m2 which is at rest at the bottom of the bowl as shown in the figure. If two masses stick together after the collision, how high above do they go relative to the bottom of the bowl? (Ignore the friction between the %3D masses and the surface of the bowl and take g = 9.8 m/s.)arrow_forwardAngular momentum is conserved for this inelastic collision because the surface is frictionless and the unbalanced external force at the nail exerts no torque. The disk has a mass of 51.5 g and an initial velocity of 32.0 m/s when it strikes the stick that is 1.40 m long and 2.05 kg at a distance of 0.100 m from the nail. 1. What is the angular velocity (in rad/s) of the two after the collision? (magnitude in rad/s) 2. What is the kinetic energy (in J) before and after the collision? Kbefore= J Kafter= J 3. What is the total linear momentum (in kg · m/s) before and after the collision? (Entermagnitude) pbefore= kg · m/s pafter= kg · m/sarrow_forwardThe figure shows a small piece of clay colliding into a disk. The disk is initially at rest, but can rotate about a pivot fixed at its center. The collision is completely inelastic.The disk has mass M = 4.84 kilograms and radius R = 0.74 meters. The clay has mass m = 285 grams and is moving horizontally at vi = 3.88 m/s just before colliding with and sticking to the disk. The clay strikes the edge of the disk at a location of b = 0.505 meters offset from the center of the disk. Note that the size of the clay is negligible compared to the radius of the disk. 1. Calculate the angular speed (rad/s) of the disk just after the collision.arrow_forward
- As part of a carnival game, a my = 0.653 kg ball is thrown at a stack of 23.8 cm tall, mo = = 0.363 kg objects and hits with a perfectly horizontal velocity of Ubi = 10.8 m/s. Suppose that the ball strikes the topmost object. Immediately after the collision, the ball has a horizontal velocity of bf = 3.10 m/s in the same direction, the topmost object has an angular velocity of @= 1.63 rad/s about its center of mass, and all the remaining objects are undisturbed. Assume that the ball is not rotating and that the effect of the torque due to gravity during the collision is negligible. If the object's center of mass is located r = 16.7 cm below the point where the ball hits, what is the moment of inertia I, of the object about its center of mass? What is the center of mass velocity Uo.cm of the tall object immediately after it is struck? (1) 0 Io = b.J Vo.cm = kg-m² m/sarrow_forwardA gymnast with a mass of 55 kg flipped in the air and achieved a maximum angular velocity of 445 degrees/sec just before landing from the flip. a) What is the magnitude of the angular impulse in kg*m2/s exerted by the floor on the gymnast when they stuck the landing and came to a complete stop, if they had a radius of gyration of 0.75 meters throughout the landing and their initial angular velocity just as they hit the floor was equal to the maximum angular velocity of 445 degrees/sec?arrow_forwardA 0.00600 kg bullet traveling horizontally with speed 1.00 103 m/s strikes a 16.0 kg door, embedding itself 11.9 cm from the side opposite the hinges as shown in the figure below. The 1.00 m wide door is free to swing on its frictionless hinges. Imagine that the door is hanging vertically downward, hinged at the top, so that the figure is a side view of the door and bullet during the collision. What is the maximum height (in cm) that the bottom of the door will reach after the collision?arrow_forward
- The 29-1b rectangular plate is at rest on a smooth horizontal floor. It is given the horizontal impulses as shown in (Figure 1). Assume I = 20 lb. s. Figure 0.5 ft 5 lb.s 60% 2 ft -0.5 ft-- Part A Determine its angular velocity. Express your answer in radians per second to three significant figures. IVE ΑΣΦΑ ↓↑ vec w = 37.747 Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining Part B Submit ***** Determine the magnitude of the velocity of the mass center. Express your answer in feet per second to three significant figures. VG = 22.2 ft/s Previous Answers ? rad/sarrow_forwardA solid sphere of mass, M = 5.0 kg, and radius, R = 0.100 m is placed on two blocks so that it’s centre of mass lies at the origin as shown on the right. A bullet of mass, m = 0.100 kg, and with an x coordinate of b = 0.04 m strikes the sphere from below with a vertical velocity, v = 65 m/s and embeds in the sphere coming to rest at the location (-b,0) in the diagram below. Since there is no momentum in the horizontal direction, after the bullet hits the sphere , it will rise up to some maximum height and then fall back to its initial position on the two blocks. While the sphere is in the air it will rotate. What is the magnitude of the angle (in degrees) through which the sphere will rotate before it makes contact with the two blocks again?arrow_forwardA spherical satellite of approximately uniform density with radius 4.8 m and mass 215 kg is originally moving with velocity (2600, 0, 0) m/s, and is originally rotating with an angular speed 2 rad/s, in the direction shown in the diagram. A small piece of space junk of mass 6.0 kg is initially moving toward the satellite with velocity (-2200, 0, 0) m/s. The space junk hits the edge of the satellite as shown in the figure below, and moves off with a new velocity ( 1300, 480, 0) m/s. Both before and after the collision, the rotation of the space junk is negligible. V3 L Part 1 Ux = Uy = @1 (a) Just after the collision, what are the components of the center-of-mass velocity of the satellite (v, and vy) and its rotational speed w? (For Ux, enter your answer to at least four significant figures.) Part 2 Mi @= i i Save for Later i M, R, 1 V2 m m/s m/s rad/s (b) Calculate the rise in the internal energy of the satellite and space junk combined. J Attempts: 0 of 10 used Submit Answerarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON
![Text book image](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
![Text book image](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
![Text book image](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
![Text book image](https://www.bartleby.com/isbn_cover_images/9781337553278/9781337553278_smallCoverImage.gif)
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
![Text book image](https://www.bartleby.com/isbn_cover_images/9780321820464/9780321820464_smallCoverImage.gif)
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134609034/9780134609034_smallCoverImage.gif)
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON