See this info from Mass Wildlife on bears coming out of hibernation and bird feeders:
www.mass.gov/dfwele/dfw/mwnews/2008/mwnews_0308.htm#item3
looks like it is about mid-March.
but it seems the bigger question is whether or not you need to worry about such an encounter. regardless of the time of year. though i am no biologist, my impression is that you run a risk of a bad encounter only if you come between a mother and her cubs - which were born in the den back in December or so... otherwise, bears don't want to encounter you, and will be long gone by the time you come trudging through the woods.