Recent content by Zetor

Well, that is a nice video but it does not single out the kinematic equations (as far as I could see). However, I think I found what I am looking for in Advanced Engineering Dynamics by Ginsberg, at page 144. Below is a screenshot from Google Books that I found. As expected, the velocity is...

Well, that is the next step. But in order to derive the dynamics, I need all kinematic relationships of the system.

Well, I bet there is some paper related to the Euler Disk that can answer this. But, all I have seen regarding the Euler Disk so far are the dynamical equations for it. I am developing a model for a unicycle using Kane's method, so I basically want a kinematic model for what happens when the...

Assuming rotation only around the point G, translation of the contact point C is carried out by rotation ##\dot{\theta} ##. The velocity of the contact point is $$ \dot{\vec{P}}_c =\vec {v_c}=\dot{\theta}r\vec{e}_{vc}$$ where ## \vec{e}_{vc} ## is the direction vector for the velocity...

So the kinematics of the contact point of a disc rolling without slip in a Cartesian plane if fairly straightforward. The velocity for the contact point is just v = ω r ev where r is the wheel radius and ev the current direction vector of the wheel. However, say that you grab the plate and...