Falling stick against the wall

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Rotational Motion Advanced rigid body dynamics

Source: Others

Problem Sets:

Rigid body - ICR

Problem

A uniform stick of mass $m$ and length $l$ leans against a smooth wall vertically. The stick can slide against the wall and the ground frictionlessly. With small perturbation, the stick starts to fall.

  1. Find at which point $\theta$ the stick starts to leave the wall.
  2. Find the angular and translational velocity as a function of angle $\theta$ (between 0 and 90 deg) between the floor and the stick.
  3. Find the distance between the center of the mass and the wall when the stick falls to the ground.