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to cover (with something)
to put on (e.g. someone's head)
to pour liquid (on something); to dash liquid (over something)
to plate (something) with metal; to cover (with a dental crown)
to add (e.g. music to a video); to include (into something)
to speak (over someone else)
to put the blame (on someone); to place the responsibility (on someone)
「被せる」 has another reading with different meanings.
罪を被せられた人は無実を主張し続けている。
The person who was blamed continues to claim innocence.
責任を人に被せるのは良くないことだと思うよ。
I think it's not good to put blame on others.
鍋に蓋を被せて煮込む。
Cover the pot with a lid and simmer.