The Collaborative International Dictionary of English v.0.48:

Whine \Whine\, v. i. [imp. & p. p. Whined; p. pr. & vb. n.
   Whining.] [OE. whinen, AS. hw[imac]nan to make a whistling,
   whizzing sound; akin to Icel. hv[imac]na, Sw. hvina, Dan.
   hvine, and probably to G. wiehern to neigh, OHG. wih[=o]n,
   hweij[=o]n; perhaps of imitative origin. Cf. Whinny, v. i.]
   To utter a plaintive cry, as some animals; to moan with a
   childish noise; to complain, or to tell of sorrow, distress,
   or the like, in a plaintive, nasal tone; hence, to complain
   or to beg in a mean, unmanly way; to moan basely. "Whining
   plovers." --Spenser.
   [1913 Webster]

         The hounds were . . . staying their coming, but with a
         whining accent, craving liberty.         --Sir P.
                                                  Sidney.
   [1913 Webster]

         Dost thou come here to whine?            --Shak.
   [1913 Webster]