My son is now in his late teen and I had a exectly same experience before.
When I sent my son to a nursery school, he was about 3years old.
He cried and cried without stopping for three days and was the only child cried so long among their mates.
The teacher suggested me just ignored him and did not worry about crying that long. I hided away and stealed a glance at him but he was keep crying on. At that time I was very stressful and couldn't leave a nursery school.
However, three days later he stopped crying and play with their friends well.
What I am telling you is every mom probably had a same experience like you and your child is pretty normal.
Just let your kid be and he or she will be ok soon.
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Today moring I dropped my daughter to nursery center. It's first day. She's never been to there. So she was crying over and over. But I was late, I couldn't stay with her for few minutes.
I worry about she felt Mom took away herself. She is just 4 years old. Life is so hard. Eventhough I CAN'T solve my problem, I became Mom. I think I am selfish and I have not patience
I hope she grows up well.
I'm sorry my sweet.