That word can take on a couple meanings, depending on whether it is voluntary. For example, someone who has been committed without their consent is usually on their way to a mental hospital. Someone who is committed may be in a mental hospital, or just submitted to the will and direction of something greater than himself. Being committed includes submission, includes repeated willingness to a task or project. It may be a condition of relationship. But it requires submission.
If you would submit your way to the Lord, what would that look like? Sound complicated? It isn’t. If you ever take a car, you submit your way to the rules and whims of the government, where they have decided to put roads, at what slopes and grades, how many lanes and stop signs, etc. even though a car is capable of driving in any direction, we submit our way to the road already laid out before us.
It is the same with life. God has already put out guardrails for your life, shown you what is good. Though we are capable of choosing evil (Thanks father Adam!) We find that we are much more successful in life if we choose the good. Like choosing the right road, we get to our destination.
The second part, to trust in the Lord and He will act, seems more broad, but it is simply to trust in your ruler, your benefactor. He will protect you. David lived in a world where kings ruled, and the peasantry were protected by their kings and nobles from national enemies. In God we can trust even more, since He never sleeps, always watches, and is all-powerful. We know He will bring justice.
Commit and Trust. Sounds like an old message that still applies today. Make today a good day in the Lord.
God bless you.