Part of an asbestos core door at a library was exposed towards top of door. my sleeve came into contact with exposed part. i noticed after. i had to pack my books in my bag after too. are my things contaminated with asbestos now? been very worried.

No worries: Asbestos is a naturally occurring material. Humans put it to use in a lot of manufactured items and building materials... then learned it is harmful, and so have removed or covered up the asbestos. That said, an occasional simple exposure will add no more health risk than we already get from life in our modern polluted world. One can just do basic clean up, while not inhaling any debris.