務 is built from the 矛, 夂 (going / winter (top)), and 力 components.
It reads ム like 矛, as do 霧 — learn 矛 once and the family's reading comes with it.
A common word using 務 is 公務員 (こうむいん), meaning “government worker, public servant”.
Kanji that look similar include 柔.