There would be a minor
weight decrease and change of net angle at low latitudes due to a planet's rotation, which would be in inverse proportion to the rotational period. Those forces would also tend to make the planet bulge a little around its equator.
There's also a daily tidal fluctuation, although for Earth the moon's proximity produces much more noticeable tidal effects. Tides produced by the system's star would be more powerful with a more massive star or a smaller distance between the star and the planet (as would be the case with Mercury)