On the jerk in motion along a regular surface curve

M. Tosun, M. Hizarcioǧlu

The jerk is the third time derivative of the position vector, and hence the time derivative of acceleration vector. In this paper, we take into consideration a particle moving on a regular surface curve, which is equipped with the Darboux frame, in three dimensional Euclidean space and resolve its jerk vector along tangential direction and two special radial directions. Moreover, the motion of a particle along a right handed circular helix is given as an illustrative example.

Tbilisi Mathematical Journal, Special Issue (IECMSA-2019), pp. 69-77