PENDULUM, INERTIAL AND NONINERTIAL REFERENCE FRAMES


 

Introduction
      Discovering existence of inertial and noninertial reference frames we have learned that Newton second law describing planar motion in an inertial (x,y) reference frame

m Dvx / Dt  =  Fx           (0a),      

m Dvy  / Dt  =  Fy             (0b)

when transformed to a uniformly rotating (x',y') reference frame, takes a new form that includes Coriolis and centrifugal pseudoforces

m Dv'x / Dt  =  F'x  + 2mwv'y + mw2x'       (1a)

m Dv'y / Dt  =  F'y  -  2mwv'x + mw2y'       (1b).

These pseudoforces are formally describing effects of body's inertia as seen from a rotating reference frame. With their help we have explained a phenomenon of stationary satellites.