Can stores ask you to leave your backpack at the front?

I'm curious, can businesses really request that customers leave their backpacks at the entrance or is that an infringement on personal property rights? Is there any legal precedent for such a practice? I'm interested in understanding the reasoning behind this policy and whether or not there are any alternatives that would still allow customers to feel SAFE and secure while shopping. Additionally, are there any specific regulations or guidelines that businesses must follow when implementing such a policy?