Mesh parts not moving with the part they are welded to

It could be that the meshparts are anchored as @SalmonJumped said… but if they are unanchored the next two things i would do is decrease their density (in Custom Physical Properties) to about 0.3 or lower… or even make them Massless.

The other thing you can also do is turn their CanCollide to false, in case they are colliding with each other or some other part.