Planar motion with Fresnel integrals as components of the velocity
E. Flores-Garduno, S.C. Mancas, H.C. Rosu, M. Perez-Maldonado
TL;DR
This paper investigates the planar motion of a rigid body under constant torque, utilizing Fresnel integrals to analyze velocity components, extending previous work and discussing jerk properties in the motion.
Contribution
It introduces a novel analytical approach using Fresnel integrals to describe the velocity components in planar rigid body motion under constant torque.
Findings
Analytical expressions for velocity components derived using Fresnel integrals
Extension of Ferris-Prabhu's previous analysis with new insights on jerk
Enhanced understanding of motion characteristics under constant torque
Abstract
We analyze the two-dimensional motion of a rigid body due to a constant torque generated by a force acting on the body parallel to the surface on which the body moves extending an old note of Ferris-Prabhu [Am. J. Phys. 38, 1356-1357 (1970)] and supplementing it with a short discussion of the jerking properties
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