= mR²) by hitting the ball a 2. Henrik wants to play a backspin on a cue ball (I distance R/2 below the center of the cue ball, as shown in the figure below. Assume that the cue stick has mass M and initial speed vcue and that the ball has mass m and is initially at rest. After the collision, the cue stick has speed v'cue and the ball has speed vo. The collision is entirely elastic. a) Using linear momentum and angular momentum equations show that 5v0 the angular speed of the ball after the collision is equal to w = b) Find the time that it 4R takes for the ball to start rolling without slipping on the table if the coefficient of kinetic friction is µk. c) Find the speed of the ball when it is rolling without slipping.

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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2. Henrik wants to play a backspin on a cue ball (I = mR?) by hitting the ball a
distance R/2 below the center of the cue ball, as shown in the figure below. Assume that the
cue stick has mass M and initial speed vcue and that the ball has mass m and is initially at
rest. After the collision, the cue stick has speed v'
is entirely elastic. a) Using linear momentum and angular momentum equations show that
and the ball has speed vo. The collision
cue
5vo
b) Find the time that it
4R
the angular speed of the ball after the collision is equal to w =
takes for the ball to start rolling without slipping on the table if the coefficient of kinetic
friction is µk. c) Find the speed of the ball when it is rolling without slipping.
R/2
Transcribed Image Text:2 2. Henrik wants to play a backspin on a cue ball (I = mR?) by hitting the ball a distance R/2 below the center of the cue ball, as shown in the figure below. Assume that the cue stick has mass M and initial speed vcue and that the ball has mass m and is initially at rest. After the collision, the cue stick has speed v' is entirely elastic. a) Using linear momentum and angular momentum equations show that and the ball has speed vo. The collision cue 5vo b) Find the time that it 4R the angular speed of the ball after the collision is equal to w = takes for the ball to start rolling without slipping on the table if the coefficient of kinetic friction is µk. c) Find the speed of the ball when it is rolling without slipping. R/2
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