Abstract: The methodology of the paper is coherent, i.e., seeking problems from instruction, using mechanical analysis as a dominant method, based on which to design procedure algorithms, aided with high-efficient computing software MATLAB, meditating further on nature of the problems according to the simulating results. It solved the problem of the famous PASCAL's cycloid, of which the kinetics parameters is outputted in form of a matrix; and it solved a case of resultant motion whose absolute kinetics trajectory is unimaginable, by programming a general-purpose procedure to probe on its charming trajectory. This paper also solved the simulation of an ellipse-generating mechanism. All the procedures the paper presented can be utilized to visualize the abstract mechanics for the purpose of instructional presentations.