Activities

  1. Choose an appropriate generalized coordinate to describe the evolution.
  2. Use the latter (and its derivatives) to write the horizontal acceleration of the center-of-mass.
  3. Which will be the geometrical form of the trajectory of a rod point while the upper end remains on the wall?
  4. Write the Lagrangian and a constant of motion
  5. Compute (in function of the initial height h) the height of the upper end when it leaves the wall.
  6. Use the simulation to check your result for different values of h. (The numerical value is displayed in red below the table.)
  7. Compute the velocity of every rod point when they reach the horizontal table.