À disk of mass m, = 70.0 g and radius r,- 4.50 cm slides on a frictionless sheet of ice with velocity v, where v = 14.00 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 m, = 140 g, a radius 2= 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). (a) What is the magnitude of the angular momentum (in kg m2/s) of the two-disk system relative to its center of mass? 0.0686 kg m2/s (b) What is the angular speed (in rad/s) about the center of mass? 82.0 rad/s

À disk of mass m, = 70.0 g and radius r,- 4.50 cm slides on a frictionless sheet of ice with velocity v, where v = 14.00 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 m, = 140 g, a radius 2= 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). (a) What is the magnitude of the angular momentum (in kg m2/s) of the two-disk system relative to its center of mass? 0.0686 kg m2/s (b) What is the angular speed (in rad/s) about the center of mass? 82.0 rad/s

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A drinking straw of length 3a/2 and mass 2m is placed on a square table of side 'a' parallel to one of its sides such that one third of its length extends beyond the table. An insect of mass m/2 lands on the inner end of the straw (i e.., the end which lies on the table) and walks along the straw until it reaches the outer end. It does not topple even when another insect lands on top of the first one. Find the largest mass of the second insect that can have without toppling the straw. Neglect friction.
The 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.
In a long jump, an athlete sweeps one of her arm clockwise through 0.5 revolution and the other arm sweeps counterclockwise through 1.0 revolution in 0.7s. Treat each arm as a thin rod of mass 3.0. kg and length 0.5m rotating around one end. In the athlete’s reference frame, calculate the magnitude of the total angular momentum of the arms around the common rotation axis through the shoulders. (given I thin rod = MR^2)
From distance x = 0 to x =4m, the slope of the moment diagram is equal to 0.50x. The change in moment between these two points is equal to
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/s
The Cavendish balance shown in the figure below has two large lead balls, each of mass M = 1.5 kg,and two smaller lead balls, each of mass m = 0.8 kg. The lengths of the suspended rod to which the twosmaller balls are attached and the fixed rod to which the larger balls are attached are both 40 cm asmeasured from the center of each lead ball. If the angle between the centers of the large and smallballs is  = 22 degrees with respect to the rotational axis established by the quartz fiber, find the force ofgravitational attraction between each pair of large and small balls.
A 230-kg, 2.70-m long beam slides across the ice with a speed of 18.0 m / s (see figure). A 65.0-kg man at rest grasps it by one end (without lifting) and holds onto it; both he and the beam begin to spin on the ice. Assume frictionless motion. (a) How fast is the center of mass of the system moving after the collision? (b) With what angular speed does the man-beam system rotate with respect to its Center of Mass?
A 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?
A child of mass 45 kg stands at the edge of a merry-go-round of mass 120 kg and radius 2.6 m, and both are initially at rest. The child then walks along the edge of the merry-go- round until she reaches a point opposite her starting point as measured on the ground ( point B in the figure below). How far does the child walk as measured relative to the merry - go-round? Start Finish Start Finish В. 3.₁ СА
The young tree, originally bent, has been brought into the vertical position by adjusting the three guy-wire tensions to AB = 2 Ib, AC = 9 Ib, and AD = 13 lb. Determine the force and moment reactions at the trunk base point O. Neglect the weight of the tree. 4.4" D 2.7' 5.0" 2.7' 5.0' Answers: Fo =( i j+ i k) Ib i Mo = ( i i+ i j+ i k) Ib-ft
A ball weighing 800 grams and having a radius of 2cm moves in the direction of the positive x-axis at a speed of 5m/s. It collides with another stationary ball weighing 500 grams and also having a radius of 2cm. The collision occurs off-center, with the vertical components of the centers of the balls differing by 1cm. Following the collision, the lighter ball attains a speed of 3m/s. Determine the velocity of the heavier ball after the collision and calculate the amount of energy lost during the collision.
Ballistic pendulum: A projectile of mass m = 1 kg is fired with an initial speed v0 = 20 m/s at the bob of a pendulum with radius R = 3 m. The bob has mass M = 4 kg and is suspended by a rod of negligible mass. After the collision the projectile and bob stick together and swing at speed vf through an arc reaching height h and stop. (assume g=10 m/s2) (1) What is the speed vf just after the collision ? (2) What is the total kinetic energy for projectile and bob together just after the collision?