Problem #4 (. A 16-lb bowling ball is cast horizontally onto a lane such that its initial angular rate wo = 0 and its center of mass has a velocity vo = 8 ft/s. The radius of the ball is r = 0.375 ft, and the coefficient of kinetic friction between the lane and ball is Hk = 0.12. 8 ft/s G What is the condition, in terms of o and v for а. 0.375 ft rolling without slipping? b. ) Draw a clear and complete free body diagram of just the ball. с. What is the angular acceleration of the ball? Use Ig =?l5 mr² for a solid sphere. d. What is the linear acceleration of the ball? For how much time does the ball slide before it begins to roll without slip? f. For what distance does the ball slide before it begins to roll without slip? g. What is the velocity of the ball at the moment it beings to roll without slip? e.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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Problem #4 (.
A 16-lb bowling ball is cast horizontally onto a lane such
that its initial angular rate wo = 0 and its center of mass has a
velocity vo = 8 ft/s. The radius of the ball is r = 0.375 ft, and
the coefficient of kinetic friction between the lane and ball is
Hk = 0.12.
8 ft/s G
What is the condition, in terms of w and v for
а.
0.375 ft
rolling without slipping?
b.
) Draw a clear and complete free body diagram
of just the ball.
с.
What is the angular acceleration of the ball?
Use IG = l5 mr for a solid sphere.
What is the linear acceleration of the ball?
е.
For how much time does the ball slide before it begins to roll without slip?
f.
For what distance does the ball slide before it begins to roll without slip?
g.
What is the velocity of the ball at the moment it beings to roll without slip?
d.
Transcribed Image Text:Problem #4 (. A 16-lb bowling ball is cast horizontally onto a lane such that its initial angular rate wo = 0 and its center of mass has a velocity vo = 8 ft/s. The radius of the ball is r = 0.375 ft, and the coefficient of kinetic friction between the lane and ball is Hk = 0.12. 8 ft/s G What is the condition, in terms of w and v for а. 0.375 ft rolling without slipping? b. ) Draw a clear and complete free body diagram of just the ball. с. What is the angular acceleration of the ball? Use IG = l5 mr for a solid sphere. What is the linear acceleration of the ball? е. For how much time does the ball slide before it begins to roll without slip? f. For what distance does the ball slide before it begins to roll without slip? g. What is the velocity of the ball at the moment it beings to roll without slip? d.
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