如果你没有签署合同，你就没有义务支付他们任何钱。

If you have not signed a contract, you are under no ___obligation to pay them any money.

你有法律义务确保你的孩子接受适当的教育。

You have a legal ___obligation to ensure your child receives a proper education.

尽管有所有这些活动和义务，你不必担心休息，因为你每天只工作5小时，并且有足够的空闲时间弹吉他。

In spite of all these activities and ___obligations you don't have to worry about your rest because you will work just 5 hours a day and you will have enough free time to play your guitar.