A bowling ball of mass M and radius R = 20.0 cm is released with an initial translational velocity of v = 17.0 m/s to the right and an initial angular velocity of zero. The bowling ball can be treated as a uniform solid sphere. The coefficient of kinetic friction between the ball and the surface is 0.190. The force of kinetic friction causes a linear acceleration, as well as a torque that causes the ball to spin. The ball rolls while slipping (sliding) along the horizontal surface for some time, and then rolls without slipping at constant velocity after that. Use g = 10 m/s?. (a) Which free-body diagram below shows all the forces acting on the ball while it is sliding?

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter9: Dynamics Of A System Of Particles
Section: Chapter Questions
Problem 9.44P
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Please answer D & E 

(d) How far does the ball travel while it is sliding?
m
(e) What is the constant speed of the ball when the ball rolls without slipping?
m/s
(f) Which free-body diagram below shows all the forces acting on the ball after it starts rolling without slipping, moving at a constant velocity?
FN
FN
FN
FBD 1
FBD 2
FBD 3
Fs FG
FG
Fs
FG
FN
FN
FBD 4
FBD 5
Fg VFG
FG
FK
O FBD 1
O FBD 2
O FBD 3
O FBD 4
O FBD 5
Transcribed Image Text:(d) How far does the ball travel while it is sliding? m (e) What is the constant speed of the ball when the ball rolls without slipping? m/s (f) Which free-body diagram below shows all the forces acting on the ball after it starts rolling without slipping, moving at a constant velocity? FN FN FN FBD 1 FBD 2 FBD 3 Fs FG FG Fs FG FN FN FBD 4 FBD 5 Fg VFG FG FK O FBD 1 O FBD 2 O FBD 3 O FBD 4 O FBD 5
A bowling ball of mass M and radius R = 20.0 cm is released with an initial translational velocity of v = 17.0 m/s to the right and an initial angular velocity of zero. The bowling ball can be treated as a
uniform solid sphere. The coefficient of kinetic friction between the ball and the surface is 0.190. The force of kinetic friction causes a linear acceleration, as well as a torque that causes the ball to spin.
The ball rolls while slipping (sliding) along the horizontal surface for some time, and then rolls without slipping at constant velocity after that. Use g = 10 m/s2.
(a) Which free-body diagram below shows all the forces acting on the ball while it is sliding?
FN
AFN
FN
FBD 1
FBD 2
FBD 3
Fs FG
Fs
\FG
FN
AFN
FBD 4
FBD 5
FK VFG
FG
FK
O FBD 1
FBD 2
FBD 3
O FBD 4
O FBD 5
(b) What is the magnitude of the acceleration of the ball while it is sliding?
1.9
m/s2
(c) What is the magnitude of the angular acceleration of the ball while it is sliding?
23.75
rad/s?
(d) How far does the ball travel while it is sliding?
O O O O C
Transcribed Image Text:A bowling ball of mass M and radius R = 20.0 cm is released with an initial translational velocity of v = 17.0 m/s to the right and an initial angular velocity of zero. The bowling ball can be treated as a uniform solid sphere. The coefficient of kinetic friction between the ball and the surface is 0.190. The force of kinetic friction causes a linear acceleration, as well as a torque that causes the ball to spin. The ball rolls while slipping (sliding) along the horizontal surface for some time, and then rolls without slipping at constant velocity after that. Use g = 10 m/s2. (a) Which free-body diagram below shows all the forces acting on the ball while it is sliding? FN AFN FN FBD 1 FBD 2 FBD 3 Fs FG Fs \FG FN AFN FBD 4 FBD 5 FK VFG FG FK O FBD 1 FBD 2 FBD 3 O FBD 4 O FBD 5 (b) What is the magnitude of the acceleration of the ball while it is sliding? 1.9 m/s2 (c) What is the magnitude of the angular acceleration of the ball while it is sliding? 23.75 rad/s? (d) How far does the ball travel while it is sliding? O O O O C
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