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Shafikae
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A uniform ladder of mass M and length 2L is leaning aainst a frictionless vertical wall with its feet on a frictionless horizontal floor. Initially the stationary ladder is released at an angle [tex]\theta_{0}[/tex] = 60o to the floor. Assume that the gravitation field g acts vertically downward.
1) Show that the moment of intertia of the ladder is about its midpoint is I = (1/3)ML2
2) Derive the Lagrangian of the system.
3) Derive the equations of motions using the Lagrangian.
4) Find the angle [tex]\theta[/tex] at which the ladder loses contact with the vertical wall.
Ive been reading my textbooks but there arent any similar examples for me to relate to.
1) Show that the moment of intertia of the ladder is about its midpoint is I = (1/3)ML2
2) Derive the Lagrangian of the system.
3) Derive the equations of motions using the Lagrangian.
4) Find the angle [tex]\theta[/tex] at which the ladder loses contact with the vertical wall.
Ive been reading my textbooks but there arent any similar examples for me to relate to.