Motion of Particles under Pseudo-Deformation

	Motion of Particles under Pseudo-Deformation
Article 1, Volume 1, Issue 2, Summer 2016, Page 273-277 PDF (346.75 K)
Document Type: Original Scientific Paper
DOI: 10.22052/mir.2016.34108
Author
Akhilesh Chandra Yadav
M G Kashi Vidyapith Varanasi
Abstract
In this short article, we observe that the path of particle of mass $m$ moving along $\mathbf{r}= \mathbf{r}(t)$ under pseudo-force $\mathbf{A}(t)$, $t$ denotes the time, is given by $\mathbf{r}_d= \int(\frac{d\mathbf{r}}{dt} \mathbf{A}(t)) dt +\mathbf{c}$. We also observe that the effective force $\mathbf{F}_e$ on that particle due to pseudo-force $\mathbf{A}(t)$, is given by $ \mathbf{F}_e= \mathbf{F} \mathbf{A}(t)+ \mathbf{L} d\mathbf{A}(t)/dt$, where $\mathbf{F}= m\ d^2\mathbf{r}/dt^2 $ and $\mathbf{L}= m\ d\mathbf{r}/dt$. We have discussed stream lines under pseudo-force.
Keywords
Right loops; right transversals; gyrotransversals
Main Subjects
Mathematical Physics


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