Bowling ball and force of friction

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Homework Help Overview

The discussion revolves around a physics problem involving a bowling ball that transitions from translation to rolling motion due to friction. Key elements include the ball's radius, mass, distance traveled, and the coefficient of friction between the ball and the lane.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the initial state of the ball (whether it is spinning or translating) and its subsequent transition to rolling. There are mentions of writing equations for translation and rotation, as well as the effects of friction on the ball's motion.

Discussion Status

The discussion is active, with participants exploring the relationship between translational and rotational motion. Some guidance has been offered regarding the equations to consider, and there is an acknowledgment of the conditions necessary for pure rolling to occur.

Contextual Notes

Participants are considering the implications of the initial motion of the ball and how it affects the analysis of the problem. There is an emphasis on the role of friction and the transition to rolling motion, but no consensus has been reached on the specific equations or methods to apply.

ducdat231
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Homework Statement


A bowling ball with radius (R) and mass (m)hit the ground and traveled a distance (d) before it started to roll due to the force of friction cause by the coefficient of friction (mu) between the ball and the lane.

Homework Equations


I=2/5mR^2
F=ma
torque=I*alpha
F(friction)=mu*F
v=w*alpha

The Attempt at a Solution


Express the distance d in term of R, m, v and mu.
 
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I suppose it is important that you know whether the ball as spinning or translating initially.
 
initially the ball was as translating but after traveled distance (d) it change to spinning due to the friction with the lane
 
Then write the translation and rotation equations. The speed reduces and angular velocity increases to the point that they satisfy the condition for pure rolling. As soon as this is achieved friction ceases to act.
 

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