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mechanics of rigid bodies

2. Series 9. Year - 3. rolling mill

Two cylinders of radius $R$ with parallel horizontal axis placed at distance $a$ rotate in opposite directions. A plate of mass $m$ and length $2a$ is laid on them little bit asymetrically (see pic. 2). (viz obr. 2). The coeficient of friction between the plate and the cylinders is $μ$. What will happen

  • when the angular velocities of the cylinders are the same,
  • when the angular velocities of the left one is two times higher than of the second one.
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