The problem involves determining the conditions under which a bowling ball, initially bowled without rolling, transitions to rolling without sliding as its velocity decreases. The context includes concepts from rotational dynamics and energy conservation, particularly focusing on the relationship between translational and angular velocities.
The discussion is ongoing, with participants exploring different methods and questioning the validity of their approaches. Some have suggested that an angular momentum approach may be more effective, while others are examining the implications of friction on the problem. There is no clear consensus on the correct method or solution yet.
Participants note the complexity of the problem, particularly regarding the assumptions about friction and the conservation of energy. There are discussions about the torque produced by different forces and the conditions under which angular momentum is conserved.
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.
I don't understand your question. ω ≡ dθ/dt, if that's what you mean.carlosOviedo said:Do you mean using d(theta)/dt?