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wrobel

Science Advisor

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Let me share an educational problem which I learned from my friend Prof. M. Kirsanov. Perhaps somebody finds it interesting to discuss it with students. I do.

The problem is pure kinematic.

Assume we have two disks which can rotate about their fixed centers ##A,C,\quad |AC|=b##. The radii of the disks are ##R,r,\quad R>r## respectively. The discks are connected by a rigid bridge ##BFGD## and ##B,D## are the hinges placed on the rims of the disks. At one moment the system has the position that is shown at the picture ; the angular velocity and the angular acceleration of the left disk are given: ##\omega,\varepsilon##.

Find angular velocity and angular acceleration of the right disk at this moment.

Can the system move in the vicinity of shown position? What is configuration space of this system? What if ##r=R##?

The problem is pure kinematic.

Assume we have two disks which can rotate about their fixed centers ##A,C,\quad |AC|=b##. The radii of the disks are ##R,r,\quad R>r## respectively. The discks are connected by a rigid bridge ##BFGD## and ##B,D## are the hinges placed on the rims of the disks. At one moment the system has the position that is shown at the picture ; the angular velocity and the angular acceleration of the left disk are given: ##\omega,\varepsilon##.

Find angular velocity and angular acceleration of the right disk at this moment.

Can the system move in the vicinity of shown position? What is configuration space of this system? What if ##r=R##?

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