occupied/preoccupied

The president is much occupied with affairs of state.
總統(tǒng)總是忙于國事。

He occupied his whole afternoon reading documents.
他用了一下午的時間閱讀文件。

overloaded

The bar waiter was already overloaded with orders.
這位酒吧侍者已經(jīng)應(yīng)付不過來客人的點單。

Faculty are in short supply and tend to be overloaded with work, limiting their capacity to undertake research.
教師供不應(yīng)求，而且教學工作往往超負荷，制約了他們的研究能力。

tied up

He's tied up with his new book. He works hard till midnight every day.
他正忙他那本新書。他每天都工作到半夜。

My hands are tied. I must hand in my homework this afternoon.
我很忙，今天下午必須把家庭作業(yè)交上去。

I have EPA over both her financial affairs and her welfare, yet my hands are tied both her obduracy and that of the LA.
在她的金融事務(wù)和福利方面，我都有EPA。但LA政策和她的頑固讓我無能為力。

in the middle of sth

What were you up to?
剛剛忙啥呢?
I was in the middle of serving a customer when you called me.
你給我打電話的時候，我正在忙著照顧一個顧客。

wrapped up in

He's too serious and dedicated, wrapped up in his career.
他太嚴肅、太專注，一心撲在事業(yè)上。

Nowadays, lots of Canadians and Americans are wrapped up in their small world and know little about China.

all wound up

You won't fall asleep if you're all wound up from answering email, or doing other work.
如果你在睡覺前還在忙著回復(fù)郵件或者做其它事情，那你肯定睡不著。