Abstract
Abstract In this work, we discuss the feasibility of the well-known classical polar curves (limacons, roses, and logarithmic spirals), studied in calculus courses, to emerge naturally as trajectories of a mass-spring system, limited to moving along a passing axis that rotates in a uniform circular motion with controlled angular velocity. Simulations using the free software Modellus visually show how the appearance of polar curves is closely related to the initial conditions of the problem. A discussion about the physical reality of more general orbits, with multiple return points, is presented considering the attractive and repulsive character of the central force field promoted by the elastic force present in the system considered.
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