In a game of pool, a cue ball is initially sliding on the table with backspin. Friction betweenthe ball and table eventually causes the ball to transition to "rolling without slipping"(where v = rw).For this problem, use an origin (to calculate torque and angular momentum) which is on thetable surface.Check all the following statements which are true during the transition from sliding torolling without slipping. There may be more than one correct answer!The "spin" angular momentum (Iw) of the ball stays constantThe velocity of the ball's center of mass stays constantThe friction force exerts zero torque on the ball (using the origin described).The total angular momentum (orbit + spin) of the ball stays constant (using the origindescribed).The "orbit" angular momentum (mur _ ) of the ball stays constant

Step1: During the transition from sliding to rolling without slipping:The "spin" angular…

Answered: In a game of pool, a cue ball is…

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)...

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Consider the setup shown below. The blocks have masses 3.6 kg and 24 kg. The pulley has mass 7.4 kg, and is a uniform disc with radius 0.23 m. Assume the pulley to be frictionless, but the coefficient of friction between the block and the surface is 0.36. What is the acceleration of the blocks? Assume the 24 kg mass is descending with acceleration a. The moment of inertia of the disk is 1/2MR2 and the acceleration of gravity is 9.8 m/s2.
A 33.2 kg boy and a 22.0 kg girl are standing at the edge of a 161 kg merry-go-round of radius 1.41 m that is currently rotating at 32.0 rpm. The two kids then walk inward toward the center of the merry-go-round; while the boy reaches the center, the girl stops halfway. Given their new positions, what is the new rate of rotation of the merry-go-round (in rpm)? For simplicity's sake, you may treat the kids as point masses and the merry-go-round as a flat disk. Hint: Figure 10.12 in the textbook provides a good refresher on the various moments of inertia!
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A uniform solid sphere of mass 6.0 kg and radius 10 cm is rolling without slipping along a horizontal surface with a speed of 4.9 m/s (this is the speed of the center of mass) when it starts up a ramp that makes an angle of 30° with the horizontal. 1st а) b) While the ball is moving up the ramp, find What is the maximum distance it can go up the ramp, measured along the surface of the ramp? 2nd? the acceleration (magnitude and direction) of its center of mass and i) ii) | 3rd 3] the friction force (magnitude and direction) acting on it due to the surface of the ramp. Moment of inertia of a solid sphere is I em =MR². ст
A merry-go-round has a radius of 16.5 m and a moment of inertia of 310 kg-m². A boy of mass 44.9 kg runs tangent to the rim at a speed of 4 m/s and jumps on. If the merry-go-round is initially at rest, what is the angular velocity after the boy jumps on? Help on how to format answers: units w/
A uniform horizontal disk of radius 5.50 m turns without friction at w = 2.30 rev/s on a vertical axis through its center, as in the figure below. A feedback mechanism senses the angular speed of the disk, and a drive motor at A ensures that the angular speed remain constant while a m = 1.20 kg block on top of the disk slides outward in a radial slot. The block starts at the center of the disk at time t = 0 and moves outward with constant speed v = 1.25 cm/s relative to the disk until it reaches the edge at t = 465 s. The sliding block experiences no friction. Its motion is constrained to have constant radial speed by a brake at B, producing tension in a light string tied to the block. (a) Find the torque as a function of time that the drive motor must provide while the block is sliding. Hint: The torque is given by = 2mrvw. t N-m (b) Find the value of this torque at t= 465 s, just before the sliding block finishes its motion. N.m 2.52 (c) Find the power which the drive motor must…
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