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vraeleragon

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**A solid cylinder is initially moving along a flat surface without rotating. Due to the action of friction, it eventually begins rolling without slipping. The coefficient of friction is 0.22, the radius of the cylinder is 0.5 m, its mass is 2.7 kg and its initial center of mass velocity is 1.5 m/s**

**Questions: a.) How long does it take to reach a rolling without slipping condition? b.) What is the total energy change of the system between the initial condition and the establishment of rolling without slipping? c.) Will it still roll without slip on an incline?**

I tried using FΔt=mΔv and d=v[itex]_{0}[/itex]t+1/2at[itex]^{2}[/itex]so i got the distance for slipping d=(v[itex]_{i}[/itex][itex]^{2}[/itex]-v[itex]_{f}[/itex][itex]^{2}[/itex])/(2μg)

And then I did 1/2mv[itex]_{i}[/itex][itex]^{2}[/itex] = fd + 1/2mv[itex]_{f}[/itex][itex]^{2}[/itex] + 1/2Iω[itex]^{2}[/itex] I kept getting the same answer no matter what formula or approach I use. I have no clue how to do this. Please help. Thank you :)