  We report on experiments performed on a cantilever-based tri-port
nano-electro-mechanical (NEMS) device. Two ports are used for actuation and
detection through the magnetomotive scheme, while the third port is a
capacitively coupled gate electrode. By applying a low frequency voltage signal
on the gate, we demonstrate mixing in the mechanical response of the device,
even for {\it low magnetomotive drives, without resorting to conduction
measurements through the NEMS}. The technique can thus be used in particular in
the linear regime, as an alternative to nonlinear mixing, for normal conducting
devices. An analytic theory is presented reproducing the data without free
parameters
