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vu10758

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It is problem number 9. I also have my work so far there.

Two blocks are connected as shown. Friction between M1 and the horizontal surface is characterized by mu_k = .25 and mu_s=.5. The pulley has I = .16kgm^2 about its center and a radius of .2m. Find the speed of the masses after they moved 2m. Assume that M1 is still on the horizontal surafece after those 2m so that the friction force will act over the entire 2m. Use M1 = 2kg and M2 = 6kg.

I did my work and ended up with accerleration being 3.26 however, I can't get the velocity. I don't know how to get the velocity, and I am not sure if I am overlooking some kinds of relationship between the variables.