"split, opening," 14c., from crack (v.). Meaning "try, attempt" first attested 1836, probably a hunting metaphor, from slang sense of "fire a gun." Meaning "rock cocaine" is first attested 1985. The superstition that it is bad luck to step on sidewalk cracks has been traced to c.1890. Adjectival meaning in "top-notch, superior" is slang from 1793 (e.g. a crack shot).
To study • Nearly always in the negative: He tried to pass the course without cracking a book/ The exam's coming up and I better crack some books (1920s+ Students)
fall between the cracks, give something a shot, have a crack at something, wisecrack
[all senses are ultimately echoic; narcotics sense fr the sound of breaking crystals or the cracking sound the crystals make when smoked]