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Vedat Tanriverdi

Publications and source records attributed to Vedat Tanriverdi.

5 recordsLinked to original sources
arXiv2025

Are the equations of motion more fundamental than the conservation of energy in mechanics?

In some cases, it is possible to show the conservation of energy by using equations of motion in mechanics. By considering these results, some people can think that the conservation of energy is the result of equations of motion or Newton's second law. If we consider the conservation of energy by itself, it is valid for nearly all natural sciences and more general than equations of motion. From this perspective, it is not totally convenient to say that the conservation of energy is the result of equations of motion. It is clear that there can be a relation between them, but it is not explicit enough. In this study, we have studied the relationship between the conservation of energy and equations of motion. And, the study revealed a subtle difference between them in mechanics which can be used to experimentally test which explains the nature best or to better understand the relation between them.

physics.gen-ph↗
arXiv2022

How does a heavy symmetric top rise?

The rise of the top is studied by considering slipping friction. For this case, equations of motion are obtained by using Euler equations for a heavy symmetric top with a hemispherical peg. Different situations are considered to see how the rise takes place, which can help understand the rise of the top.

physics.class-ph↗
arXiv2022

Motion of the heavy symmetric top when magnitudes of conserved angular momenta are different

A symmetric top or gyroscope can start its motion with different initial values. One can not decide the motion type only by looking at these initial values. For example, in a motion, precession angular velocity can be negative at the beginning, but the top's overall precession can be positive; or initially, the gyroscope spins in one direction, but in a later stage one can find it while spinning in the other direction. On the other hand, if one knows different properties and types of motion, one can know what will happen. In this work, we have studied the classification of motion type by using constants of motion. We have also studied changes in dynamic variables. We have given examples of different types of motion and solved them numerically.

physics.class-ph↗
arXiv2021

Why do we use constants of motion while studying the motion of a heavy symmetric top?

While studying the motion of a heavy symmetric top, in general, constants of motion are used. Some students may want to understand the motion in terms of torque, which can lie on their routine based on the usage of Newton's second law. However, this is not easy, and examples of this work will illustrate this situation. In this work, first, we will show the equivalence of torque-angular momentum relation and Euler equations for a heavy symmetric top which give the description of the motion in terms of torque. Then, we will study some simple motions of a heavy symmetric top in terms of torque, angular momentum, angular velocities and accelerations, which can help students in understanding rigid body rotations and the necessity of considering the motion of a heavy symmetric top in terms of constants. We will also study Perry's historical observational principle on the relation between precession and the rise of the top.

physics.class-ph↗