In the latest video installment of his What If? series, Randall Munroe explains the disasters that would follow if our earth stopped spinning on its axis. The hypothetical question included the fact that the atmosphere would continue moving at the same speed, so that part is enough to blow us all away pretty much immediately. We are used to the earth's movement at up to a thousand miles per hour at the equator, so it would be quite disorienting if the rotation stopped, but we wouldn't have time to deal with it because of that atmospheric movement.
Then the long-term consequences would kick in. The oceans would throw a lot of water into the atmosphere, but retain plenty enough to blast the land with tsunamis, and our days would change to years. That makes surviving the effects pretty darn difficult. But all things considered, the earth would eventually start rotating again someday, probably without us. -via Damn Interesting