Translation

1. tired

   Die müden Kinder gingen ins Bett.

   The tired children went to bed.

2. blearily source:freedict-eng-deu-dictd
3. drowsy source:wikdict-en-de-stardict
4. tame source:dictcc-tuchemnitz-de-en
5. tired of it, tired of (infinitive phrase)

   Ich bin es müde.

   I am tired of it.

   Ich bin (es) müde, mich immer wieder erklären zu müssen.

   I am tired of having to explain myself again and again.

6. [with genitive] tired or sick of (something, someone)

   Ich bin des Streitens müde.

   I'm tired of arguing.

   Ich bin dessen so müde.

   I'm so sick of it.