I think for myself that my weariness is more emotional than physical. Weary in dealing with difficult personalities. Weary in concern for my aging parents. Weary with well meaning advice on complicated issues. These are the things that leave me feeling misunderstood, alone, and weary.
That's when I most need to seek the heart of my Heavenly Father. He alone understands perfectly. He can guide me perfectly. He extends his grace to me, so that I can extend grace to others.
"And let us not grow weary of doing good, for in due season we will reap, if we do not give up. So then as we have opportunity, let us do good to everyone, and especially to those who are of the household of faith." Galatians 6:9, 10