In this work we introduce two experimental proposals that could shed some l
ight upon the inertial properties of intrinsic spin. In particular we will
analyze the role that the gravitomagnetic field of the Earth could have on
a quantum system with spin 1/2. We will deduce the expression for Rabi tran
sitions, which depend, explicitly, on the coupling between the spin of the
quantum system and the gravitomagnetic field of the Earth. Afterwards, the
continuous measurement of the energy of the spin-1/2 system is considered,
and an expression for the emerging quantum Zeno effect is obtained. Thus, i
t will be proved that gravitomagnetism, in connection with spin-1/2 systems
, could induce not only Rabi transitions but also a quantum Zeno effect.