

(Bieng a bit naughty with the upper terminal but in my defence this is only physics)
assume )
\frac{BL}{m}+\frac{ABL}{\omega m} cos0)
-1))
The big coefficient at the front is a constant, while the term in parenthesis is ALWAYS negative. Therefore the sign of the velocity should never change and so it shouldn't oscillate me thinks. I had my doubts about this question from just a simple intuitive argument but I guess I included this since the three ppl invovled all do spec. The intuitive argument is that even though force reverses, velocity does not neccesarily, in fact the force(when reversed) does most of it's work slowing the object down to 0 and then once at zero the force reverses back to positive, hence speeding the object back up.
This all gives me doubts about this question, only possible resolution is that B isn't constant (weaker as the thing moves up) or the current is NOT sinusoidal. 
Aah, didn't think of that...forgetting Unit 3 motion (concept of force, acceleration, velocity etc.) amidst all this magnetism lol. Thanks.
Practically, if the current is initially running out of the page then the wire will move up and continue moving up until it is out of the significant field of the magnet

, but if we assume that the magnet is infinite width then the period ought to be the time for the wire to come to rest again after moving upwards right? And that should be the period of the current in the wire.
But that's not really oscillation is it, what am I missing here?