Answer:
They each have a reading that repeats a sound.
心 SHIN, kokoro - heart
暖 DAN, atata(kai), atata(meru) - warm
勧 KAN, susu(meru) - recommend, offer, advise
筒 TOU, tsutsu - pipe, tube
慎 SHIN, tsutsushi(mu) - be discreet, careful, restrain self