all and the floor are friction-less, the ladder will slide down the wall and along the floor until the left end loses contact with the wall. Before the ladder loses contact with the wall there is one degree of freedom (θ). Using the formula for Euler-Lagrange EOM to find the Lagrangian and then the EOM for the ladder. Assume that gravity is present.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter11: Dynamics Of Rigid Bodies
Section: Chapter Questions
Problem 11.25P
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A ladder of length L and mass M is leaning against a wall. Assuming the
wall and the floor are friction-less, the ladder will slide down the wall and
along the floor until the left end loses contact with the wall. Before the ladder loses contact with the wall there is one degree of freedom (θ).
Using the formula for Euler-Lagrange EOM to find the Lagrangian and then the EOM for the ladder. Assume that gravity is present.

 
 
 
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