An actual problem of inertial navigation related to the creation of a multifunctional device that performs the functions of a meter for both angular velocities and linear accelerations is considered. The possibility of constructing such a device based on a hybrid-type modulation micromechanical gyroscope has shown. The ability to measure linear accelerations has provided by the presence of a small symmetrical distance between the axes of the elastic suspension relative to the center of mass of the sensor element. A mathematical model of the device ("heavy" gyroscope) as a high-quality three-dimensional oscillatory system is constructed. It has shown numerically that the reaction of the system to the movement of an object has, along with precession, the observed nutation. This allows you to develop an algorithm for separating information about the angular and linear motion of the base and implement a two-component angular velocity meter and a two-component linear acceleration meter in one device.