Abstract
In this paper, using matrix methods, we obtained rotation polein one-parameter motion on the Lorentzian plane homothetic motions andpole orbits, accelerations and combinations of accelerations, …rst and secondin acceleration poles. Moreover, some new theorems are given
Highlights
In Lorentzian plane, a general planar motion as given by y1 = x cosh ' + y sinh ' + a y2 = x sinh ' + y cosh ' + b (1.1)If, a and b are given by the functions of time parameter t, this motions is called as one parameter motion [2]
The velocity vector of the point X with respect to the Lorentzian plane L i.e. the vectorial velocity of X while it is drawing its orbit in L is called relative velocity of the point X and denoted by Vr [1]
The acceleration vector of the point X with respect to the ...xed Lorentzian plane L is called as sliding acceleration vector and denoted by bf
Summary
Where the velocities Va = Y_ ; Vf = A_X + C_ ; Vr = AX_ are called absolute, sliding, and relative velocities of the points B, respectively [1]. Vf = 0 gives us the pole points on the moving plane. The locus of these points is Received by the editors: February 03, 2017; Accepted: April 06, 2017. Called the moving pole curve, and correspondingly the locus of pole points on the. Xed plane is called the ...xed pole curve [1]. Are called absolute acceleration, sliding acceleration, relative acceleration and Coriolis accelerations, respectively [1].
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