In addition to what others said about the FSF discouraging the LGPL, it is also not allowed to statically link LGPL code to non-(L)GPL closed code. You can only link dynamically unless you provide full source.
Nonetheless, statically linking with LGPL libraries in the form of uClibc is _extremely_ common in commercial devices running uClinux. Without providing any way to relink. Forbidden, but ignored.