Modeling a drive system

[COLOR=#323232][FONT=verdana]Hello, everyone. Sorry in advance if I'm posting this to the wrong section. I'm new and I have a system for which I need to build a mathematical model. The problem is that I have never seen anything related to this subject before so I'm rather oblivious about it. I tried to draw the system for you. I'm attaching the drawing to this post.[/FONT][/COLOR]

[COLOR=#323232][FONT=verdana]I will try to simply explain it, or let's say what I understand from it. There's a motor connected to a gear box to reduce the speed and this gear box is connected to a screw on which our object stands. As motor shaft rotates, the screw also rotates with a proportional speed and turns the rotational movement into linear movement for the object. There are two time dependent functions that I must observe with this model: The position (X(t)) and the force applied to the object (F(t)) so I must build a model including related forces such as inertia of the motor, stiffness etc. If someone can explain how this can be done or at least tell me where I should start learning, I would appreciate it. I don't know how to describe the system so I can't exactly google information and study for it. [/FONT][/COLOR]

[COLOR=#323232][FONT=verdana]Thanks for your help. Much appreciated [/FONT][/COLOR][IMG]http://mymathforum.com/images/smilies/smile.png[/IMG]
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