But isn't change in momentum divided by time equal to the net force which is equal to Ma? I did 4 (the change in momentum) divided by time (0.0002) to equal Ma.
Okay! I think I understand you. So, I know the change in momentum is equal to the external force which is equal to Ma. Change in momentum is equal to impulse which is 4 if I calculated it correctly. I also know the time it took for this was 0.0002 seconds. So I setup the following equation...
Okay so the relation is this initial momentum plus impulse equals final momentum. In this case final momentum would be when pure rolling occurs correct?
So I'm getting:
For translational:
Mvi + μmgt = Mvf --(1)
For rotational:
Iωi - μmgRt = I(vf/R)
Dividing this by R: Iωi/R -μmgt = Ivf/R^2...
Uhm okay. I see my error now. I wrote down the wrong number for time. It's actually 10^-4 seconds. But that still doesn't solve my problem. Even with the correct value of impulse (which I am now pretty sure is 4 Ns), how could I find the velocity of the center of mass?
Sorry I don't quite understand what you mean. Do you mean that I made an error in calculating impulse and why can I ignore friction?
If I ignored friction, what would be causing rotational momentum to decrease?
Homework Statement
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