Baby wont sleep without being held!?

My baby girl is almost 5 weeks old and will not sleep more then 30 minutes unless being held. She will fall asleep in my arms and as soon as I put her down she cries until I pick her back up. I know you can't spoil a 5 week old but I feel like she will never sleep on her own if I keep picking her up. She sleeps with me at night because if she's not next to me she cries all night. I've tried laying her down when she's drowsy, complelty asleep and wide awake. She is not content for long in her swng, crib or propped on her boppy. I've swaddled her (helps some) kept her warm and kept her cool. She doesn't stay asleep! Please help.