How to Calculate When a Bowling Ball Will Begin to Roll Without Sliding

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To determine when a bowling ball begins to roll without sliding, the discussion centers on calculating the transition point as the ball's velocity decreases. The correct velocity at which this occurs is (5/7)Vo, while one participant initially calculated it as sqrt(5/7)Vo. The conversation highlights the importance of considering friction and angular momentum in the analysis, with suggestions to apply conservation laws and force analysis. Participants also discuss the nuances of torque and the reference points for calculations, emphasizing that the point of contact can simplify the problem. Ultimately, the correct approach leads to the desired result, confirming the significance of understanding the dynamics involved.
  • #31
Now solve it using conservation of angular momentum.
 
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  • #32
Doc Al said:
OK.

Good. Now write a similar equation for ω as a function of time. Combine all equations to solve for the time. Once you have the time, use it to find Vf.

You're almost there.

Do you mean using d(theta)/dt?
 
  • #33
carlosOviedo said:
Do you mean using d(theta)/dt?
I don't understand your question. ω ≡ dθ/dt, if that's what you mean.
 

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